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          <param tag="constr" value="1|1,'-root.mod1.whydrogen+root.mod1.chcs.w0_whydrogen'"/>
          <param tag="constrf" value="1|1,'test(-root.mod1.whydrogen+root.mod1.chcs.w0_whydrogen)'"/>
          <param tag="lbound" value="1|1,''"/>
          <param tag="ubound" value="1|1,''"/>
        </objects>
      </feature>
    </constraints>
  </constr>
  <expr entityName="List" entityComments="" entityAuthor="" entityCreationTime="1302636690920" model="/">
    <objects xsi:type="com.comsol.mph-v7:Expr" tag="var1" entityName="Variables 1a" entityComments="" entityAuthor="" entityCreationTime="1302685686498">
      <selection entityName="Selection" entityComments="" entityAuthor="" entityCreationTime="1302685686497" type="global"/>
      <expressions tag="M_av" expression="root.mod1.whelium*M_He+root.mod1.whydrogen*M_H" description="Average Molar Mass"/>
      <expressions tag="Time" expression="t" description="Time"/>
      <expressions tag="m_total" expression="root.mod1.whelium*m_Heunit+root.mod1.whydrogen*m_Hunit" description="Total mass of incoming gasses"/>
      <expressions tag="m_H" expression="root.mod1.whydrogen*m_Hunit" description="Mass of Hydrogen"/>
      <expressions tag="m_He" expression="root.mod1.whelium*m_Heunit" description="Mass of Helium"/>
    </objects>
    <objects xsi:type="com.comsol.mph-v7:Expr" tag="iexpr1" derivedFrom="/" entityName="Variables 1" entityComments="" entityAuthor="" entityCreationTime="1304686402743">
      <tags tag="Analysis" values="1,'std1/time'"/>
      <selection entityName="Selection" entityComments="" entityAuthor="" entityCreationTime="1304686402743" type="global"/>
      <expressions tag="g_const" expression="9.80665[m/s^2]" description="Acceleration of gravity"/>
      <expressions tag="N_A_const" expression="6.02214179E23[1/mol]" description="Avogadro constant"/>
      <expressions tag="k_B_const" expression="1.3806504E-23[J/K]" description="Boltzmann constant"/>
      <expressions tag="Z0_const" expression="root.mu0_const*root.c_const" description="Characteristic impedance of vacuum"/>
      <expressions tag="me_const" expression="9.10938215E-31[kg]" description="Electron mass"/>
      <expressions tag="e_const" expression="1.602176487E-19[C]" description="Elementary charge"/>
      <expressions tag="F_const" expression="96485.3399[C/mol]" description="Faraday constant"/>
      <expressions tag="alpha_const" expression="0.0072973525376" description="Fine-structure constant"/>
      <expressions tag="G_const" expression="6.67428E-11[m^3/(kg*s^2)]" description="Gravitational constant"/>
      <expressions tag="hbar_const" expression="1.054571628E-34[J*s/rad]" description="Reduced Planck's constant"/>
      <expressions tag="V_m_const" expression="0.022413996[m^3/mol]" description="Molar volume of ideal gas"/>
      <expressions tag="mn_const" expression="1.674927211E-27[kg]" description="Neutron mass"/>
      <expressions tag="epsilon0_const" expression="8.854187817E-12[F/m]" description="Permittivity of vacuum"/>
      <expressions tag="mu0_const" expression="4*pi*1.0E-7[H/m]" description="Permeability of vacuum"/>
      <expressions tag="h_const" expression="6.62606896E-34[J*s]" description="Planck's constant"/>
      <expressions tag="mp_const" expression="1.672621637E-27[kg]" description="Proton mass"/>
      <expressions tag="c_const" expression="299792458[m/s]" description="Speed of light in vacuum"/>
      <expressions tag="sigma_const" expression="5.6704E-8[kg/(s^3*K^4)]" description="Stefan-Boltzmann constant"/>
      <expressions tag="R_const" expression="8.314472[J/(K*mol)]" description="Universal gas constant"/>
      <expressions tag="b_const" expression="0.0028977685[m*K]" description="Wien displacement law constant"/>
      <expressions tag="isRHS"/>
    </objects>
    <objects xsi:type="com.comsol.mph-v7:Expr" tag="iexpr2" derivedFrom="//@physics/@physints[tag='chcs']" storedParent="//@modelNode/@modelNodes[tag='mod1']" entityName="Variables 2" entityComments="" entityAuthor="" entityCreationTime="1304686402748">
      <tags tag="Analysis" values="1,'std1/time'"/>
      <selection entityName="Selection" entityComments="" entityAuthor="" entityCreationTime="1304686402748" type="geomdim" geom="//@geom/@geoms[tag='geom1']" domains="2,1" dim="3" hDim="3"/>
      <expressions tag="whelium_fld_act"/>
      <expressions tag="whydrogen_fld_act" expression="1" description="Mass fraction"/>
      <expressions tag="R_whydrogen" description="Total rate expression"/>
      <expressions tag="helem" expression="root.h" description="Element size"/>
      <expressions tag="glim" expression="0.1[mol/m^3]/root.mod1.chcs.helem" description="Lower gradient limit"/>
      <expressions tag="Ck" expression="0.1[mol/m^3]/root.mod1.chcs.helem" description="Tuning parameter"/>
      <expressions tag="Res_whydrogen" expression="root.mod1.chcs.rho*root.mod1.whydrogent+d(-root.mod1.whydrogen*root.mod1.chcs.rho*root.mod1.chcs.Dfxx_whydrogen*d(root.mod1.chcs.Mn,root.x)/root.mod1.chcs.Mn,root.x)+d(-root.mod1.whydrogen*root.mod1.chcs.rho*root.mod1.chcs.Dfyy_whydrogen*d(root.mod1.chcs.Mn,root.y)/root.mod1.chcs.Mn,root.y)+d(-root.mod1.whydrogen*root.mod1.chcs.rho*root.mod1.chcs.Dfzz_whydrogen*d(root.mod1.chcs.Mn,root.z)/root.mod1.chcs.Mn,root.z)+root.mod1.chcs.rho*root.mod1.chcs.u*root.mod1.whydrogenx+root.mod1.chcs.rho*root.mod1.chcs.v*root.mod1.whydrogeny+root.mod1.chcs.rho*root.mod1.chcs.w*root.mod1.whydrogenz" description="Equation residual"/>
      <expressions tag="tauMass_whydrogen" expression="nojac(((4/max(timestep,0.05/sqrt(9*(emetric(root.mod1.chcs.rho*(-(root.mod1.chcs.Dfxx_whydrogen*d(root.mod1.chcs.Mn,root.x)+root.mod1.chcs.Dfxy_whydrogen*d(root.mod1.chcs.Mn,root.y)+root.mod1.chcs.Dfxz_whydrogen*d(root.mod1.chcs.Mn,root.z))/root.mod1.chcs.Mn+root.mod1.chcs.u),root.mod1.chcs.rho*(-(root.mod1.chcs.Dfyx_whydrogen*d(root.mod1.chcs.Mn,root.x)+root.mod1.chcs.Dfyy_whydrogen*d(root.mod1.chcs.Mn,root.y)+root.mod1.chcs.Dfyz_whydrogen*d(root.mod1.chcs.Mn,root.z))/root.mod1.chcs.Mn+root.mod1.chcs.v),root.mod1.chcs.rho*(-(root.mod1.chcs.Dfzx_whydrogen*d(root.mod1.chcs.Mn,root.x)+root.mod1.chcs.Dfzy_whydrogen*d(root.mod1.chcs.Mn,root.y)+root.mod1.chcs.Dfzz_whydrogen*d(root.mod1.chcs.Mn,root.z))/root.mod1.chcs.Mn+root.mod1.chcs.w))+(root.mod1.chcs.rho*root.mod1.chcs.Dav_whydrogen)^2)*root.emetric2+0.25*(d(-root.mod1.chcs.rho*root.mod1.chcs.Dfxx_whydrogen*d(root.mod1.chcs.Mn,root.x)/root.mod1.chcs.Mn,root.x)+d(-root.mod1.chcs.rho*root.mod1.chcs.Dfyy_whydrogen*d(root.mod1.chcs.Mn,root.y)/root.mod1.chcs.Mn,root.y)+d(-root.mod1.chcs.rho*root.mod1.chcs.Dfzz_whydrogen*d(root.mod1.chcs.Mn,root.z)/root.mod1.chcs.Mn,root.z))^2)))^2+4*emetric(root.mod1.chcs.rho*(-(root.mod1.chcs.Dfxx_whydrogen*d(root.mod1.chcs.Mn,root.x)+root.mod1.chcs.Dfxy_whydrogen*d(root.mod1.chcs.Mn,root.y)+root.mod1.chcs.Dfxz_whydrogen*d(root.mod1.chcs.Mn,root.z))/root.mod1.chcs.Mn+root.mod1.chcs.u),root.mod1.chcs.rho*(-(root.mod1.chcs.Dfyx_whydrogen*d(root.mod1.chcs.Mn,root.x)+root.mod1.chcs.Dfyy_whydrogen*d(root.mod1.chcs.Mn,root.y)+root.mod1.chcs.Dfyz_whydrogen*d(root.mod1.chcs.Mn,root.z))/root.mod1.chcs.Mn+root.mod1.chcs.v),root.mod1.chcs.rho*(-(root.mod1.chcs.Dfzx_whydrogen*d(root.mod1.chcs.Mn,root.x)+root.mod1.chcs.Dfzy_whydrogen*d(root.mod1.chcs.Mn,root.y)+root.mod1.chcs.Dfzz_whydrogen*d(root.mod1.chcs.Mn,root.z))/root.mod1.chcs.Mn+root.mod1.chcs.w))+36*(root.mod1.chcs.rho*root.mod1.chcs.Dav_whydrogen)^2*root.emetric2+(d(-root.mod1.chcs.rho*root.mod1.chcs.Dfxx_whydrogen*d(root.mod1.chcs.Mn,root.x)/root.mod1.chcs.Mn,root.x)+d(-root.mod1.chcs.rho*root.mod1.chcs.Dfyy_whydrogen*d(root.mod1.chcs.Mn,root.y)/root.mod1.chcs.Mn,root.y)+d(-root.mod1.chcs.rho*root.mod1.chcs.Dfzz_whydrogen*d(root.mod1.chcs.Mn,root.z)/root.mod1.chcs.Mn,root.z))^2)^(-0.5))" description="Mass_transport_time_scale_coefficient"/>
      <expressions tag="TestOp_whydrogen" expression="nojac(d(-root.mod1.chcs.rho*root.mod1.chcs.Dfxx_whydrogen*d(root.mod1.chcs.Mn,root.x)/root.mod1.chcs.Mn,root.x)+d(-root.mod1.chcs.rho*root.mod1.chcs.Dfyy_whydrogen*d(root.mod1.chcs.Mn,root.y)/root.mod1.chcs.Mn,root.y)+d(-root.mod1.chcs.rho*root.mod1.chcs.Dfzz_whydrogen*d(root.mod1.chcs.Mn,root.z)/root.mod1.chcs.Mn,root.z))*test(root.mod1.whydrogen)+nojac(-root.mod1.chcs.rho*root.mod1.chcs.Dfxx_whydrogen*d(root.mod1.chcs.Mn,root.x)/root.mod1.chcs.Mn)*test(root.mod1.whydrogenx)+nojac(-root.mod1.chcs.rho*root.mod1.chcs.Dfyy_whydrogen*d(root.mod1.chcs.Mn,root.y)/root.mod1.chcs.Mn)*test(root.mod1.whydrogeny)+nojac(-root.mod1.chcs.rho*root.mod1.chcs.Dfzz_whydrogen*d(root.mod1.chcs.Mn,root.z)/root.mod1.chcs.Mn)*test(root.mod1.whydrogenz)+nojac(root.mod1.chcs.rho*root.mod1.chcs.u)*test(root.mod1.whydrogenx)+nojac(root.mod1.chcs.rho*root.mod1.chcs.v)*test(root.mod1.whydrogeny)+nojac(root.mod1.chcs.rho*root.mod1.chcs.w)*test(root.mod1.whydrogenz)" description="Equation_test_operator"/>
      <expressions tag="streamline" expression="-root.mod1.chcs.TestOp_whydrogen*root.mod1.chcs.tauMass_whydrogen*root.mod1.chcs.Res_whydrogen" description="Streamline_diffusion_term"/>
      <expressions tag="tauResUmax" expression="sqrt((root.mod1.chcs.tauMass_whydrogen*root.mod1.chcs.Res_whydrogen*max(sqrt(root.mod1.chcs.rho^2*((-root.mod1.chcs.Dfxx_whydrogen*d(root.mod1.chcs.Mn,root.x)/root.mod1.chcs.Mn+root.mod1.chcs.u)^2+(-root.mod1.chcs.Dfyy_whydrogen*d(root.mod1.chcs.Mn,root.y)/root.mod1.chcs.Mn+root.mod1.chcs.v)^2+(-root.mod1.chcs.Dfzz_whydrogen*d(root.mod1.chcs.Mn,root.z)/root.mod1.chcs.Mn+root.mod1.chcs.w)^2))/root.mod1.chcs.rho,2*abs(d(-root.mod1.chcs.rho*root.mod1.chcs.Dfxx_whydrogen*d(root.mod1.chcs.Mn,root.x)/root.mod1.chcs.Mn,root.x)+d(-root.mod1.chcs.rho*root.mod1.chcs.Dfyy_whydrogen*d(root.mod1.chcs.Mn,root.y)/root.mod1.chcs.Mn,root.y)+d(-root.mod1.chcs.rho*root.mod1.chcs.Dfzz_whydrogen*d(root.mod1.chcs.Mn,root.z)/root.mod1.chcs.Mn,root.z))/root.mod1.chcs.rho))^2)" description="System_stabilization_term"/>
      <expressions tag="gijxx" expression="d(root.x,xi1)^2+d(root.x,xi2)^2+d(root.x,xi3)^2" description="Contravariant metric tensor, xx component"/>
      <expressions tag="gijyx" expression="d(root.x,xi1)*d(root.y,xi1)+d(root.x,xi2)*d(root.y,xi2)+d(root.x,xi3)*d(root.y,xi3)" description="Contravariant metric tensor, yx component"/>
      <expressions tag="gijzx" expression="d(root.x,xi1)*d(root.z,xi1)+d(root.x,xi2)*d(root.z,xi2)+d(root.x,xi3)*d(root.z,xi3)" description="Contravariant metric tensor, zx component"/>
      <expressions tag="gijxy" expression="d(root.x,xi1)*d(root.y,xi1)+d(root.x,xi2)*d(root.y,xi2)+d(root.x,xi3)*d(root.y,xi3)" description="Contravariant metric tensor, xy component"/>
      <expressions tag="gijyy" expression="d(root.y,xi1)^2+d(root.y,xi2)^2+d(root.y,xi3)^2" description="Contravariant metric tensor, yy component"/>
      <expressions tag="gijzy" expression="d(root.y,xi1)*d(root.z,xi1)+d(root.y,xi2)*d(root.z,xi2)+d(root.y,xi3)*d(root.z,xi3)" description="Contravariant metric tensor, zy component"/>
      <expressions tag="gijxz" expression="d(root.x,xi1)*d(root.z,xi1)+d(root.x,xi2)*d(root.z,xi2)+d(root.x,xi3)*d(root.z,xi3)" description="Contravariant metric tensor, xz component"/>
      <expressions tag="gijyz" expression="d(root.y,xi1)*d(root.z,xi1)+d(root.y,xi2)*d(root.z,xi2)+d(root.y,xi3)*d(root.z,xi3)" description="Contravariant metric tensor, yz component"/>
      <expressions tag="gijzz" expression="d(root.z,xi1)^2+d(root.z,xi2)^2+d(root.z,xi3)^2" description="Contravariant metric tensor, zz component"/>
      <expressions tag="gijij" expression="root.mod1.chcs.gijxx^2+root.mod1.chcs.gijxy^2+root.mod1.chcs.gijxz^2+root.mod1.chcs.gijyx^2+root.mod1.chcs.gijyy^2+root.mod1.chcs.gijyz^2+root.mod1.chcs.gijzx^2+root.mod1.chcs.gijzy^2+root.mod1.chcs.gijzz^2"/>
      <expressions tag="nuh_whydrogen" expression="nojac(0.5*min(root.mod1.chcs.Ck*root.mod1.chcs.tauResUmax,max(sqrt(root.mod1.chcs.rho^2*((-root.mod1.chcs.Dfxx_whydrogen*d(root.mod1.chcs.Mn,root.x)/root.mod1.chcs.Mn+root.mod1.chcs.u)^2+(-root.mod1.chcs.Dfyy_whydrogen*d(root.mod1.chcs.Mn,root.y)/root.mod1.chcs.Mn+root.mod1.chcs.v)^2+(-root.mod1.chcs.Dfzz_whydrogen*d(root.mod1.chcs.Mn,root.z)/root.mod1.chcs.Mn+root.mod1.chcs.w)^2))/root.mod1.chcs.rho,2*abs(d(-root.mod1.chcs.rho*root.mod1.chcs.Dfxx_whydrogen*d(root.mod1.chcs.Mn,root.x)/root.mod1.chcs.Mn,root.x)+d(-root.mod1.chcs.rho*root.mod1.chcs.Dfyy_whydrogen*d(root.mod1.chcs.Mn,root.y)/root.mod1.chcs.Mn,root.y)+d(-root.mod1.chcs.rho*root.mod1.chcs.Dfzz_whydrogen*d(root.mod1.chcs.Mn,root.z)/root.mod1.chcs.Mn,root.z))/root.mod1.chcs.rho))*min(root.mod1.chcs.gijij^(-0.25),max(sqrt(root.mod1.chcs.rho^2*((-root.mod1.chcs.Dfxx_whydrogen*d(root.mod1.chcs.Mn,root.x)/root.mod1.chcs.Mn+root.mod1.chcs.u)^2+(-root.mod1.chcs.Dfyy_whydrogen*d(root.mod1.chcs.Mn,root.y)/root.mod1.chcs.Mn+root.mod1.chcs.v)^2+(-root.mod1.chcs.Dfzz_whydrogen*d(root.mod1.chcs.Mn,root.z)/root.mod1.chcs.Mn+root.mod1.chcs.w)^2))/root.mod1.chcs.rho,2*abs(d(-root.mod1.chcs.rho*root.mod1.chcs.Dfxx_whydrogen*d(root.mod1.chcs.Mn,root.x)/root.mod1.chcs.Mn,root.x)+d(-root.mod1.chcs.rho*root.mod1.chcs.Dfyy_whydrogen*d(root.mod1.chcs.Mn,root.y)/root.mod1.chcs.Mn,root.y)+d(-root.mod1.chcs.rho*root.mod1.chcs.Dfzz_whydrogen*d(root.mod1.chcs.Mn,root.z)/root.mod1.chcs.Mn,root.z))/root.mod1.chcs.rho)/(6*root.mod1.chcs.Dav_whydrogen)))" description="Cosswind_stabilization_viscosity_term"/>
      <expressions tag="cwProj_whydrogen" expression="root.mod1.chcs.rho*((root.mod1.chcs.gijxx*root.mod1.whydrogenx+root.mod1.chcs.gijxy*root.mod1.whydrogeny+root.mod1.chcs.gijxz*root.mod1.whydrogenz)*test(root.mod1.whydrogenx)+(root.mod1.chcs.gijyx*root.mod1.whydrogenx+root.mod1.chcs.gijyy*root.mod1.whydrogeny+root.mod1.chcs.gijyz*root.mod1.whydrogenz)*test(root.mod1.whydrogeny)+(root.mod1.chcs.gijzx*root.mod1.whydrogenx+root.mod1.chcs.gijzy*root.mod1.whydrogeny+root.mod1.chcs.gijzz*root.mod1.whydrogenz)*test(root.mod1.whydrogenz))" description="Crosswind_projection"/>
      <expressions tag="crosswind" expression="-root.mod1.chcs.nuh_whydrogen*root.mod1.chcs.cwProj_whydrogen" description="Crosswind_diffusion_term"/>
      <expressions tag="whelium" expression="1-root.mod1.whydrogen" description="Mass fraction"/>
      <expressions tag="M_whelium" expression="root.M_He" description="Molar mass"/>
      <expressions tag="M_whydrogen" expression="root.M_H" description="Molar mass"/>
      <expressions tag="rho" expression="(root.p_i-root.p_o)*root.M_av/(root.Rg*root.T_RC)" description="Density"/>
      <expressions tag="Mn" expression="1/(root.mod1.chcs.wrwhelium/root.mod1.chcs.M_whelium+root.mod1.chcs.wrwhydrogen/root.mod1.chcs.M_whydrogen)" description="Mean molar mass"/>
      <expressions tag="tfluxx_whelium" expression="root.mod1.chcs.cfluxx_whelium" description="Total flux, x component"/>
      <expressions tag="tfluxy_whelium" expression="root.mod1.chcs.cfluxy_whelium" description="Total flux, y component"/>
      <expressions tag="tfluxz_whelium" expression="root.mod1.chcs.cfluxz_whelium" description="Total flux, z component"/>
      <expressions tag="x_whelium" expression="root.mod1.chcs.wrwhelium*root.mod1.chcs.Mn/root.mod1.chcs.M_whelium" description="Mole fraction"/>
      <expressions tag="Vdx_whelium" description="Diffusion velocity, x component"/>
      <expressions tag="Vdy_whelium" description="Diffusion velocity, y component"/>
      <expressions tag="Vdz_whelium" description="Diffusion velocity, z component"/>
      <expressions tag="dfluxMag_whelium" description="Diffusive flux magnitude"/>
      <expressions tag="tfluxMag_whelium" expression="sqrt(root.mod1.chcs.tfluxx_whelium^2+root.mod1.chcs.tfluxy_whelium^2+root.mod1.chcs.tfluxz_whelium^2)" description="Total flux magnitude"/>
      <expressions tag="TfluxMag_whelium" description="Thermal diffusion flux magnitude"/>
      <expressions tag="vTx_whelium" description="Thermal drift velocity, x component"/>
      <expressions tag="vTy_whelium" description="Thermal drift velocity, y component"/>
      <expressions tag="vTz_whelium" description="Thermal drift velocity, z component"/>
      <expressions tag="gradx_whelium" expression="d(root.mod1.chcs.wrwhelium,root.x)" description="Concentration gradient, x component"/>
      <expressions tag="grady_whelium" expression="d(root.mod1.chcs.wrwhelium,root.y)" description="Concentration gradient, y component"/>
      <expressions tag="gradz_whelium" expression="d(root.mod1.chcs.wrwhelium,root.z)" description="Concentration gradient, z component"/>
      <expressions tag="c_whelium" expression="root.mod1.chcs.wrwhelium*root.mod1.chcs.rho/root.mod1.chcs.M_whelium" description="Molar concentration"/>
      <expressions tag="n_whelium" expression="root.mod1.chcs.wrwhelium*root.N_A_const*root.mod1.chcs.rho/root.mod1.chcs.M_whelium" description="Number density"/>
      <expressions tag="mdfluxMag_whelium" description="Molecular diffusive flux magnitude"/>
      <expressions tag="tfluxx_whydrogen" expression="root.mod1.chcs.dfluxx_whydrogen+root.mod1.chcs.cfluxx_whydrogen" description="Total flux, x component"/>
      <expressions tag="tfluxy_whydrogen" expression="root.mod1.chcs.dfluxy_whydrogen+root.mod1.chcs.cfluxy_whydrogen" description="Total flux, y component"/>
      <expressions tag="tfluxz_whydrogen" expression="root.mod1.chcs.dfluxz_whydrogen+root.mod1.chcs.cfluxz_whydrogen" description="Total flux, z component"/>
      <expressions tag="x_whydrogen" expression="root.mod1.chcs.wrwhydrogen*root.mod1.chcs.Mn/root.mod1.chcs.M_whydrogen" description="Mole fraction"/>
      <expressions tag="Vdx_whydrogen" expression="root.mod1.chcs.dfluxx_whydrogen/(root.mod1.chcs.rho*root.mod1.chcs.wrwhydrogen)" description="Diffusion velocity, x component"/>
      <expressions tag="Vdy_whydrogen" expression="root.mod1.chcs.dfluxy_whydrogen/(root.mod1.chcs.rho*root.mod1.chcs.wrwhydrogen)" description="Diffusion velocity, y component"/>
      <expressions tag="Vdz_whydrogen" expression="root.mod1.chcs.dfluxz_whydrogen/(root.mod1.chcs.rho*root.mod1.chcs.wrwhydrogen)" description="Diffusion velocity, z component"/>
      <expressions tag="dfluxMag_whydrogen" expression="sqrt(root.mod1.chcs.dfluxx_whydrogen^2+root.mod1.chcs.dfluxy_whydrogen^2+root.mod1.chcs.dfluxz_whydrogen^2)" description="Diffusive flux magnitude"/>
      <expressions tag="tfluxMag_whydrogen" expression="sqrt(root.mod1.chcs.tfluxx_whydrogen^2+root.mod1.chcs.tfluxy_whydrogen^2+root.mod1.chcs.tfluxz_whydrogen^2)" description="Total flux magnitude"/>
      <expressions tag="TfluxMag_whydrogen" description="Thermal diffusion flux magnitude"/>
      <expressions tag="vTx_whydrogen" description="Thermal drift velocity, x component"/>
      <expressions tag="vTy_whydrogen" description="Thermal drift velocity, y component"/>
      <expressions tag="vTz_whydrogen" description="Thermal drift velocity, z component"/>
      <expressions tag="gradx_whydrogen" expression="d(root.mod1.chcs.wrwhydrogen,root.x)" description="Concentration gradient, x component"/>
      <expressions tag="grady_whydrogen" expression="d(root.mod1.chcs.wrwhydrogen,root.y)" description="Concentration gradient, y component"/>
      <expressions tag="gradz_whydrogen" expression="d(root.mod1.chcs.wrwhydrogen,root.z)" description="Concentration gradient, z component"/>
      <expressions tag="c_whydrogen" expression="root.mod1.chcs.wrwhydrogen*root.mod1.chcs.rho/root.mod1.chcs.M_whydrogen" description="Molar concentration"/>
      <expressions tag="n_whydrogen" expression="root.mod1.chcs.wrwhydrogen*root.N_A_const*root.mod1.chcs.rho/root.mod1.chcs.M_whydrogen" description="Number density"/>
      <expressions tag="mdfluxMag_whydrogen" expression="sqrt(root.mod1.chcs.mdfluxx_whydrogen^2+root.mod1.chcs.mdfluxy_whydrogen^2+root.mod1.chcs.mdfluxz_whydrogen^2)" description="Molecular diffusive flux magnitude"/>
      <expressions tag="u" expression="root.mod1.u" description="Velocity field, x component"/>
      <expressions tag="v" expression="root.mod1.v" description="Velocity field, y component"/>
      <expressions tag="w" expression="root.mod1.w" description="Velocity field, z component"/>
      <expressions tag="cfluxx_whelium" expression="root.mod1.chcs.rho*root.mod1.u*root.mod1.chcs.wrwhelium" description="Convective flux, x component"/>
      <expressions tag="cfluxy_whelium" expression="root.mod1.chcs.rho*root.mod1.v*root.mod1.chcs.wrwhelium" description="Convective flux, y component"/>
      <expressions tag="cfluxz_whelium" expression="root.mod1.chcs.rho*root.mod1.w*root.mod1.chcs.wrwhelium" description="Convective flux, z component"/>
      <expressions tag="cfluxMag_whelium" expression="sqrt(root.mod1.chcs.cfluxx_whelium^2+root.mod1.chcs.cfluxy_whelium^2+root.mod1.chcs.cfluxz_whelium^2)" description="Convective flux magnitude"/>
      <expressions tag="cfluxx_whydrogen" expression="root.mod1.chcs.rho*root.mod1.u*root.mod1.chcs.wrwhydrogen" description="Convective flux, x component"/>
      <expressions tag="cfluxy_whydrogen" expression="root.mod1.chcs.rho*root.mod1.v*root.mod1.chcs.wrwhydrogen" description="Convective flux, y component"/>
      <expressions tag="cfluxz_whydrogen" expression="root.mod1.chcs.rho*root.mod1.w*root.mod1.chcs.wrwhydrogen" description="Convective flux, z component"/>
      <expressions tag="cfluxMag_whydrogen" expression="sqrt(root.mod1.chcs.cfluxx_whydrogen^2+root.mod1.chcs.cfluxy_whydrogen^2+root.mod1.chcs.cfluxz_whydrogen^2)" description="Convective flux magnitude"/>
      <expressions tag="T" expression="root.T_RC" description="Temperature"/>
      <expressions tag="Dfxx_whelium" expression="0.697[cm^2/s]" description="Diffusion coefficient, xx component"/>
      <expressions tag="Dfyx_whelium" description="Diffusion coefficient, yx component"/>
      <expressions tag="Dfzx_whelium" description="Diffusion coefficient, zx component"/>
      <expressions tag="Dfxy_whelium" description="Diffusion coefficient, xy component"/>
      <expressions tag="Dfyy_whelium" expression="0.697[cm^2/s]" description="Diffusion coefficient, yy component"/>
      <expressions tag="Dfzy_whelium" description="Diffusion coefficient, zy component"/>
      <expressions tag="Dfxz_whelium" description="Diffusion coefficient, xz component"/>
      <expressions tag="Dfyz_whelium" description="Diffusion coefficient, yz component"/>
      <expressions tag="Dfzz_whelium" expression="0.697[cm^2/s]" description="Diffusion coefficient, zz component"/>
      <expressions tag="Dav_whelium" expression="(root.mod1.chcs.Dfxx_whelium+root.mod1.chcs.Dfyy_whelium+root.mod1.chcs.Dfzz_whelium)/3" description="Average diffusion coefficient"/>
      <expressions tag="DT_whelium" description="Thermal diffusion coefficient"/>
      <expressions tag="jx_whelium" description="Diffusive flux vector, x component"/>
      <expressions tag="jy_whelium" description="Diffusive flux vector, y component"/>
      <expressions tag="jz_whelium" description="Diffusive flux vector, z component"/>
      <expressions tag="dfluxx_whelium" description="Diffusive flux, x component"/>
      <expressions tag="dfluxy_whelium" description="Diffusive flux, y component"/>
      <expressions tag="dfluxz_whelium" description="Diffusive flux, z component"/>
      <expressions tag="mdfluxx_whelium" description="Molecular diffusive flux, x component"/>
      <expressions tag="mdfluxy_whelium" description="Molecular diffusive flux, y component"/>
      <expressions tag="mdfluxz_whelium" description="Molecular diffusive flux, z component"/>
      <expressions tag="Tflux_x_whelium" description="Thermal diffusion flux, x component"/>
      <expressions tag="Tflux_y_whelium" description="Thermal diffusion flux, y component"/>
      <expressions tag="Tflux_z_whelium" description="Thermal diffusion flux, z component"/>
      <expressions tag="Dfxx_whydrogen" expression="0.756[cm^2/s]" description="Diffusion coefficient, xx component"/>
      <expressions tag="Dfyx_whydrogen" description="Diffusion coefficient, yx component"/>
      <expressions tag="Dfzx_whydrogen" description="Diffusion coefficient, zx component"/>
      <expressions tag="Dfxy_whydrogen" description="Diffusion coefficient, xy component"/>
      <expressions tag="Dfyy_whydrogen" expression="0.756[cm^2/s]" description="Diffusion coefficient, yy component"/>
      <expressions tag="Dfzy_whydrogen" description="Diffusion coefficient, zy component"/>
      <expressions tag="Dfxz_whydrogen" description="Diffusion coefficient, xz component"/>
      <expressions tag="Dfyz_whydrogen" description="Diffusion coefficient, yz component"/>
      <expressions tag="Dfzz_whydrogen" expression="0.756[cm^2/s]" description="Diffusion coefficient, zz component"/>
      <expressions tag="Dav_whydrogen" expression="(root.mod1.chcs.Dfxx_whydrogen+root.mod1.chcs.Dfyy_whydrogen+root.mod1.chcs.Dfzz_whydrogen)/3" description="Average diffusion coefficient"/>
      <expressions tag="DT_whydrogen" description="Thermal diffusion coefficient"/>
      <expressions tag="jx_whydrogen" expression="root.mod1.chcs.rho*root.mod1.chcs.Dfxx_whydrogen*(-root.mod1.whydrogenx-root.mod1.whydrogen*d(root.mod1.chcs.Mn,root.x)/root.mod1.chcs.Mn)" description="Diffusive flux vector, x component"/>
      <expressions tag="jy_whydrogen" expression="root.mod1.chcs.rho*root.mod1.chcs.Dfyy_whydrogen*(-root.mod1.whydrogeny-root.mod1.whydrogen*d(root.mod1.chcs.Mn,root.y)/root.mod1.chcs.Mn)" description="Diffusive flux vector, y component"/>
      <expressions tag="jz_whydrogen" expression="root.mod1.chcs.rho*root.mod1.chcs.Dfzz_whydrogen*(-root.mod1.whydrogenz-root.mod1.whydrogen*d(root.mod1.chcs.Mn,root.z)/root.mod1.chcs.Mn)" description="Diffusive flux vector, z component"/>
      <expressions tag="dfluxx_whydrogen" expression="root.mod1.chcs.rho*root.mod1.chcs.Dfxx_whydrogen*(-root.mod1.whydrogenx-root.mod1.whydrogen*d(root.mod1.chcs.Mn,root.x)/root.mod1.chcs.Mn)" description="Diffusive flux, x component"/>
      <expressions tag="dfluxy_whydrogen" expression="root.mod1.chcs.rho*root.mod1.chcs.Dfyy_whydrogen*(-root.mod1.whydrogeny-root.mod1.whydrogen*d(root.mod1.chcs.Mn,root.y)/root.mod1.chcs.Mn)" description="Diffusive flux, y component"/>
      <expressions tag="dfluxz_whydrogen" expression="root.mod1.chcs.rho*root.mod1.chcs.Dfzz_whydrogen*(-root.mod1.whydrogenz-root.mod1.whydrogen*d(root.mod1.chcs.Mn,root.z)/root.mod1.chcs.Mn)" description="Diffusive flux, z component"/>
      <expressions tag="mdfluxx_whydrogen" expression="root.mod1.chcs.rho*root.mod1.chcs.Dfxx_whydrogen*(root.mod1.whydrogenx+root.mod1.whydrogen*d(root.mod1.chcs.Mn,root.x)/root.mod1.chcs.Mn)" description="Molecular diffusive flux, x component"/>
      <expressions tag="mdfluxy_whydrogen" expression="root.mod1.chcs.rho*root.mod1.chcs.Dfyy_whydrogen*(root.mod1.whydrogeny+root.mod1.whydrogen*d(root.mod1.chcs.Mn,root.y)/root.mod1.chcs.Mn)" description="Molecular diffusive flux, y component"/>
      <expressions tag="mdfluxz_whydrogen" expression="root.mod1.chcs.rho*root.mod1.chcs.Dfzz_whydrogen*(root.mod1.whydrogenz+root.mod1.whydrogen*d(root.mod1.chcs.Mn,root.z)/root.mod1.chcs.Mn)" description="Molecular diffusive flux, z component"/>
      <expressions tag="Tflux_x_whydrogen" description="Thermal diffusion flux, x component"/>
      <expressions tag="Tflux_y_whydrogen" description="Thermal diffusion flux, y component"/>
      <expressions tag="Tflux_z_whydrogen" description="Thermal diffusion flux, z component"/>
      <expressions tag="V" description="Electric potential"/>
    </objects>
    <objects xsi:type="com.comsol.mph-v7:Expr" tag="iexpr3" derivedFrom="//@physics/@physints[tag='chcs']" storedParent="//@modelNode/@modelNodes[tag='mod1']" entityName="Variables 3" entityComments="" entityAuthor="" entityCreationTime="1304686402750">
      <tags tag="Analysis" values="1,'std1/time'"/>
      <selection entityName="Selection" entityComments="" entityAuthor="" entityCreationTime="1304686402750" type="geomdim" geom="//@geom/@geoms[tag='geom1']" domains="355,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354" dim="2" hDim="2"/>
      <expressions tag="nx" expression="root.dnx" description="Normal vector, x component"/>
      <expressions tag="ny" expression="root.dny" description="Normal vector, y component"/>
      <expressions tag="nz" expression="root.dnz" description="Normal vector, z component"/>
      <expressions tag="nxmesh" expression="root.dnxmesh" description="Normal vector, x component"/>
      <expressions tag="nymesh" expression="root.dnymesh" description="Normal vector, y component"/>
      <expressions tag="nzmesh" expression="root.dnzmesh" description="Normal vector, z component"/>
      <expressions tag="ndflux_whelium" description="Normal diffusive flux"/>
      <expressions tag="ntflux_whelium" expression="root.mod1.chcs.nx*root.mod1.chcs.tfluxx_whelium+root.mod1.chcs.ny*root.mod1.chcs.tfluxy_whelium+root.mod1.chcs.nz*root.mod1.chcs.tfluxz_whelium" description="Normal total flux"/>
      <expressions tag="ndflux_whydrogen" expression="root.mod1.chcs.nx*root.mod1.chcs.dfluxx_whydrogen+root.mod1.chcs.ny*root.mod1.chcs.dfluxy_whydrogen+root.mod1.chcs.nz*root.mod1.chcs.dfluxz_whydrogen" description="Normal diffusive flux"/>
      <expressions tag="ntflux_whydrogen" expression="root.mod1.chcs.nx*root.mod1.chcs.tfluxx_whydrogen+root.mod1.chcs.ny*root.mod1.chcs.tfluxy_whydrogen+root.mod1.chcs.nz*root.mod1.chcs.tfluxz_whydrogen" description="Normal total flux"/>
      <expressions tag="ncflux_whelium" expression="root.mod1.chcs.nx*root.mod1.chcs.cfluxx_whelium+root.mod1.chcs.ny*root.mod1.chcs.cfluxy_whelium+root.mod1.chcs.nz*root.mod1.chcs.cfluxz_whelium" description="Normal convective flux"/>
      <expressions tag="ncflux_whydrogen" expression="root.mod1.chcs.nx*root.mod1.chcs.cfluxx_whydrogen+root.mod1.chcs.ny*root.mod1.chcs.cfluxy_whydrogen+root.mod1.chcs.nz*root.mod1.chcs.cfluxz_whydrogen" description="Normal convective flux"/>
    </objects>
    <objects xsi:type="com.comsol.mph-v7:Expr" tag="iexpr4" derivedFrom="//@physics/@physints[tag='chcs']/@prop/@props[tag='Regularization']" entityName="Variables 4" entityComments="" entityAuthor="" entityCreationTime="1304686402765">
      <tags tag="Analysis" values="1,'std1/time'"/>
      <selection entityName="Selection" entityComments="" entityAuthor="" entityCreationTime="1304686402765" type="global"/>
      <expressions tag="fr" expression="max(max(min(root.mod1.whydrogen,1),0),1)" description="Regularization_constant"/>
      <expressions tag="wrwhydrogen" expression="max(min(root.mod1.whydrogen,1),0)/max(max(min(root.mod1.whydrogen,1),0),1)" description="Regularized mass fraction"/>
      <expressions tag="wrwhelium" expression="1-root.mod1.whydrogen" description="Regularized mass fraction"/>
    </objects>
    <objects xsi:type="com.comsol.mph-v7:Expr" tag="iexpr5" derivedFrom="//@physics/@physints[tag='chcs']/@feature/@features[tag='cdm1']" storedParent="//@modelNode/@modelNodes[tag='mod1']" entityName="Variables 5" entityComments="" entityAuthor="" entityCreationTime="1304686402866">
      <tags tag="Analysis" values="1,'std1/time'"/>
      <selection entityName="Selection" entityComments="" entityAuthor="" entityCreationTime="1304686402865" type="geomdim" geom="//@geom/@geoms[tag='geom1']" domains="355,2,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353" dim="2" hDim="2"/>
      <expressions tag="cbf_whelium" description="Convective boundary flux"/>
      <expressions tag="cbf_whydrogen" expression="root.mod1.chcs.rho*root.mod1.whydrogen*(root.mod1.chcs.u*root.mod1.chcs.nx+root.mod1.chcs.v*root.mod1.chcs.ny+root.mod1.chcs.w*root.mod1.chcs.nz)*test(root.mod1.whydrogen)" description="Convective boundary flux"/>
    </objects>
    <objects xsi:type="com.comsol.mph-v7:Expr" tag="iexpr6" derivedFrom="//@physics/@physints[tag='chcs']/@feature/@features[tag='cdm1']" storedParent="//@modelNode/@modelNodes[tag='mod1']" entityName="Variables 6" entityComments="" entityAuthor="" entityCreationTime="1304686402869">
      <tags tag="Analysis" values="1,'std1/time'"/>
      <selection entityName="Selection" entityComments="" entityAuthor="" entityCreationTime="1304686402868" type="geomdim" geom="//@geom/@geoms[tag='geom1']" domains="355,1,3,354" dim="2" hDim="2"/>
      <expressions tag="cbf_whelium" description="Convective boundary flux"/>
    </objects>
    <objects xsi:type="com.comsol.mph-v7:Expr" tag="iexpr7" derivedFrom="//@physics/@physints[tag='chcs']/@feature/@features[tag='cdm1']" storedParent="//@modelNode/@modelNodes[tag='mod1']" entityName="Variables 7" entityComments="" entityAuthor="" entityCreationTime="1304686402877">
      <tags tag="Analysis" values="1,'std1/time'"/>
      <selection entityName="Selection" entityComments="" entityAuthor="" entityCreationTime="1304686402877" type="geomdim" geom="//@geom/@geoms[tag='geom1']" domains="355,3" dim="2" hDim="2"/>
      <expressions tag="cbf_whydrogen" expression="root.mod1.chcs.rho*root.mod1.whydrogen*(root.mod1.chcs.u*root.mod1.chcs.nx+root.mod1.chcs.v*root.mod1.chcs.ny+root.mod1.chcs.w*root.mod1.chcs.nz)*test(root.mod1.whydrogen)" description="Convective boundary flux"/>
    </objects>
    <objects xsi:type="com.comsol.mph-v7:Expr" tag="iexpr8" derivedFrom="//@physics/@physints[tag='chcs']/@feature/@features[tag='cdm1']" storedParent="//@modelNode/@modelNodes[tag='mod1']" entityName="Variables 8" entityComments="" entityAuthor="" entityCreationTime="1304686402880">
      <tags tag="Analysis" values="1,'std1/time'"/>
      <selection entityName="Selection" entityComments="" entityAuthor="" entityCreationTime="1304686402880" type="geomdim" geom="//@geom/@geoms[tag='geom1']" domains="355,1,354" dim="2" hDim="2"/>
      <expressions tag="cbf_whydrogen" description="Convective boundary flux"/>
    </objects>
    <objects xsi:type="com.comsol.mph-v7:Expr" tag="iexpr9" derivedFrom="//@physics/@physints[tag='chcs']/@feature/@features[tag='in1']" storedParent="//@modelNode/@modelNodes[tag='mod1']" entityName="Variables 9" entityComments="" entityAuthor="" entityCreationTime="1304686402906">
      <tags tag="Analysis" values="1,'std1/time'"/>
      <selection entityName="Selection" entityComments="" entityAuthor="" entityCreationTime="1304686402906" type="geomdim" geom="//@geom/@geoms[tag='geom1']" domains="355,1" dim="2" hDim="2"/>
      <expressions tag="w0_whydrogen" expression="0.5" description="Mass fraction"/>
    </objects>
    <objects xsi:type="com.comsol.mph-v7:Expr" tag="iexpr10" derivedFrom="//@physics/@physints[tag='chcs']/@feature/@features[tag='in1']" storedParent="//@modelNode/@modelNodes[tag='mod1']" entityName="Variables 10" entityComments="" entityAuthor="" entityCreationTime="1304686402908">
      <tags tag="Analysis" values="1,'std1/time'"/>
      <selection entityName="Selection" entityComments="" entityAuthor="" entityCreationTime="1304686402907" type="geomdim" geom="//@geom/@geoms[tag='geom1']" domains="355,354" dim="2" hDim="2"/>
      <expressions tag="w0_whydrogen" expression="0.5" description="Mass fraction"/>
    </objects>
    <objects xsi:type="com.comsol.mph-v7:Expr" tag="iexpr11" derivedFrom="//@physics/@physints[tag='spf']" storedParent="//@modelNode/@modelNodes[tag='mod1']" entityName="Variables 11" entityComments="" entityAuthor="" entityCreationTime="1304686402909">
      <tags tag="Analysis" values="1,'std1/time'"/>
      <selection entityName="Selection" entityComments="" entityAuthor="" entityCreationTime="1304686402909" type="geomdim" geom="//@geom/@geoms[tag='geom1']" domains="2,1" dim="3" hDim="3"/>
      <expressions tag="u_fld_act" expression="1" description="Velocity field"/>
      <expressions tag="p_fld_act" expression="1" description="Pressure"/>
      <expressions tag="k_fld_act"/>
      <expressions tag="ep_fld_act"/>
      <expressions tag="G_fld_act"/>
      <expressions tag="uc_fld_act"/>
      <expressions tag="pc_fld_act"/>
      <expressions tag="nutilde_fld_act"/>
      <expressions tag="betaT" expression="d(root.mod1.spf.rho,root.mod1.p)/root.mod1.spf.rho" description="Isothermal compressibility coefficient"/>
      <expressions tag="tau_c" expression="0.5*nojac((4*root.mod1.spf.mu^2*root.emetric2/(root.mod1.spf.rho/3)^2+emetric(root.mod1.u,root.mod1.v,root.mod1.w))^0.5/(emetric(1[1],0[1],0[1])+emetric(0[1],1[1],0[1])+emetric(0[1],0[1],1[1])))" description="GLS time scale"/>
      <expressions tag="tau_m" expression="nojac(0.5/(36*root.mod1.spf.mu^2*root.emetric2+root.mod1.spf.rho^2*emetric(root.mod1.u,root.mod1.v,root.mod1.w))^0.5)" description="GLS time scale"/>
      <expressions tag="res_u" expression="root.mod1.px+root.mod1.spf.rho*root.mod1.u*root.mod1.ux+root.mod1.spf.rho*root.mod1.v*root.mod1.uy+root.mod1.spf.rho*root.mod1.w*root.mod1.uz-(d(2*root.mod1.ux-2*(root.mod1.ux+root.mod1.vy+root.mod1.wz)/3,root.x)+d(root.mod1.uy+root.mod1.vx,root.y)+d(root.mod1.uz+root.mod1.wx,root.z))*root.mod1.spf.mu-root.mod1.spf.Fx" description="Equation residual"/>
      <expressions tag="res_v" expression="root.mod1.spf.rho*root.mod1.u*root.mod1.vx+root.mod1.py+root.mod1.spf.rho*root.mod1.v*root.mod1.vy+root.mod1.spf.rho*root.mod1.w*root.mod1.vz-(d(root.mod1.vx+root.mod1.uy,root.x)+d(2*root.mod1.vy-2*(root.mod1.ux+root.mod1.vy+root.mod1.wz)/3,root.y)+d(root.mod1.vz+root.mod1.wy,root.z))*root.mod1.spf.mu-root.mod1.spf.Fy" description="Equation residual"/>
      <expressions tag="res_w" expression="root.mod1.spf.rho*root.mod1.u*root.mod1.wx+root.mod1.spf.rho*root.mod1.v*root.mod1.wy+root.mod1.pz+root.mod1.spf.rho*root.mod1.w*root.mod1.wz-(d(root.mod1.wx+root.mod1.uz,root.x)+d(root.mod1.wy+root.mod1.vz,root.y)+d(2*root.mod1.wz-2*(root.mod1.ux+root.mod1.vy+root.mod1.wz)/3,root.z))*root.mod1.spf.mu-root.mod1.spf.Fz" description="Equation residual"/>
      <expressions tag="res_p" expression="root.mod1.spf.rho*(root.mod1.ux+root.mod1.vy+root.mod1.wz)+root.mod1.u*d(root.mod1.spf.rho,root.x)+root.mod1.v*d(root.mod1.spf.rho,root.y)+root.mod1.w*d(root.mod1.spf.rho,root.z)" description="Pressure equation residual"/>
      <expressions tag="streamlinens" expression="-(nojac(root.mod1.spf.rho*root.mod1.spf.betaT*root.mod1.u)*test(root.mod1.px)+test(root.mod1.ux)+nojac(root.mod1.spf.rho*root.mod1.spf.betaT*root.mod1.v)*test(root.mod1.py)+test(root.mod1.vy)+nojac(root.mod1.spf.rho*root.mod1.spf.betaT*root.mod1.w)*test(root.mod1.pz)+test(root.mod1.wz))*root.mod1.spf.tau_c*root.mod1.spf.res_p-(nojac(root.mod1.spf.rho)*test(root.mod1.px)+nojac(root.mod1.spf.rho*root.mod1.u)*test(root.mod1.ux)+nojac(root.mod1.spf.rho*root.mod1.v)*test(root.mod1.uy)+nojac(root.mod1.spf.rho*root.mod1.w)*test(root.mod1.uz))*root.mod1.spf.tau_m*root.mod1.spf.res_u-(nojac(root.mod1.spf.rho*root.mod1.u)*test(root.mod1.vx)+nojac(root.mod1.spf.rho)*test(root.mod1.py)+nojac(root.mod1.spf.rho*root.mod1.v)*test(root.mod1.vy)+nojac(root.mod1.spf.rho*root.mod1.w)*test(root.mod1.vz))*root.mod1.spf.tau_m*root.mod1.spf.res_v-(nojac(root.mod1.spf.rho*root.mod1.u)*test(root.mod1.wx)+nojac(root.mod1.spf.rho*root.mod1.v)*test(root.mod1.wy)+nojac(root.mod1.spf.rho)*test(root.mod1.pz)+nojac(root.mod1.spf.rho*root.mod1.w)*test(root.mod1.wz))*root.mod1.spf.tau_m*root.mod1.spf.res_w"/>
      <expressions tag="ck" expression="0.5" description="Tuning parameter"/>
      <expressions tag="crosswindns" expression="nojac(0.5*min(root.mod1.spf.ck*sqrt((0.5*root.mod1.spf.res_p/(sqrt(emetric(1[1],0[1],0[1])+emetric(0[1],1[1],0[1])+emetric(0[1],0[1],1[1]))*root.mod1.spf.rho))^2+(root.mod1.spf.tau_m*root.mod1.spf.res_u)^2+(root.mod1.spf.tau_m*root.mod1.spf.res_v)^2+(root.mod1.spf.tau_m*root.mod1.spf.res_w)^2),sqrt(root.mod1.u^2+root.mod1.v^2+root.mod1.w^2+eps))*min(root.mod1.spf.gijij^(-0.25),root.mod1.spf.rho*sqrt(root.mod1.u^2+root.mod1.v^2+root.mod1.w^2+eps)/(12*root.mod1.spf.mu)))*root.mod1.spf.rho*(-root.mod1.spf.gijxx*(test(root.mod1.px)*root.mod1.spf.betaT*root.mod1.px+test(root.mod1.ux)*root.mod1.ux+test(root.mod1.vx)*root.mod1.vx+test(root.mod1.wx)*root.mod1.wx)-root.mod1.spf.gijxy*(test(root.mod1.px)*root.mod1.spf.betaT*root.mod1.py+test(root.mod1.ux)*root.mod1.uy+test(root.mod1.vx)*root.mod1.vy+test(root.mod1.wx)*root.mod1.wy)-root.mod1.spf.gijxz*(test(root.mod1.px)*root.mod1.spf.betaT*root.mod1.pz+test(root.mod1.ux)*root.mod1.uz+test(root.mod1.vx)*root.mod1.vz+test(root.mod1.wx)*root.mod1.wz)-root.mod1.spf.gijyx*(test(root.mod1.py)*root.mod1.spf.betaT*root.mod1.px+test(root.mod1.uy)*root.mod1.ux+test(root.mod1.vy)*root.mod1.vx+test(root.mod1.wy)*root.mod1.wx)-root.mod1.spf.gijyy*(test(root.mod1.py)*root.mod1.spf.betaT*root.mod1.py+test(root.mod1.uy)*root.mod1.uy+test(root.mod1.vy)*root.mod1.vy+test(root.mod1.wy)*root.mod1.wy)-root.mod1.spf.gijyz*(test(root.mod1.py)*root.mod1.spf.betaT*root.mod1.pz+test(root.mod1.uy)*root.mod1.uz+test(root.mod1.vy)*root.mod1.vz+test(root.mod1.wy)*root.mod1.wz)-root.mod1.spf.gijzx*(test(root.mod1.pz)*root.mod1.spf.betaT*root.mod1.px+test(root.mod1.uz)*root.mod1.ux+test(root.mod1.vz)*root.mod1.vx+test(root.mod1.wz)*root.mod1.wx)-root.mod1.spf.gijzy*(test(root.mod1.pz)*root.mod1.spf.betaT*root.mod1.py+test(root.mod1.uz)*root.mod1.uy+test(root.mod1.vz)*root.mod1.vy+test(root.mod1.wz)*root.mod1.wy)-root.mod1.spf.gijzz*(test(root.mod1.pz)*root.mod1.spf.betaT*root.mod1.pz+test(root.mod1.uz)*root.mod1.uz+test(root.mod1.vz)*root.mod1.vz+test(root.mod1.wz)*root.mod1.wz))"/>
      <expressions tag="gijxx" expression="d(root.x,xi1)^2+d(root.x,xi2)^2+d(root.x,xi3)^2" description="Contravariant metric tensor, xx component"/>
      <expressions tag="gijyx" expression="d(root.x,xi1)*d(root.y,xi1)+d(root.x,xi2)*d(root.y,xi2)+d(root.x,xi3)*d(root.y,xi3)" description="Contravariant metric tensor, yx component"/>
      <expressions tag="gijzx" expression="d(root.x,xi1)*d(root.z,xi1)+d(root.x,xi2)*d(root.z,xi2)+d(root.x,xi3)*d(root.z,xi3)" description="Contravariant metric tensor, zx component"/>
      <expressions tag="gijxy" expression="d(root.x,xi1)*d(root.y,xi1)+d(root.x,xi2)*d(root.y,xi2)+d(root.x,xi3)*d(root.y,xi3)" description="Contravariant metric tensor, xy component"/>
      <expressions tag="gijyy" expression="d(root.y,xi1)^2+d(root.y,xi2)^2+d(root.y,xi3)^2" description="Contravariant metric tensor, yy component"/>
      <expressions tag="gijzy" expression="d(root.y,xi1)*d(root.z,xi1)+d(root.y,xi2)*d(root.z,xi2)+d(root.y,xi3)*d(root.z,xi3)" description="Contravariant metric tensor, zy component"/>
      <expressions tag="gijxz" expression="d(root.x,xi1)*d(root.z,xi1)+d(root.x,xi2)*d(root.z,xi2)+d(root.x,xi3)*d(root.z,xi3)" description="Contravariant metric tensor, xz component"/>
      <expressions tag="gijyz" expression="d(root.y,xi1)*d(root.z,xi1)+d(root.y,xi2)*d(root.z,xi2)+d(root.y,xi3)*d(root.z,xi3)" description="Contravariant metric tensor, yz component"/>
      <expressions tag="gijzz" expression="d(root.z,xi1)^2+d(root.z,xi2)^2+d(root.z,xi3)^2" description="Contravariant metric tensor, zz component"/>
      <expressions tag="gijij" expression="(d(root.x,xi1)^2+d(root.x,xi2)^2+d(root.x,xi3)^2)^2+2*(d(root.x,xi1)*d(root.y,xi1)+d(root.x,xi2)*d(root.y,xi2)+d(root.x,xi3)*d(root.y,xi3))^2+2*(d(root.x,xi1)*d(root.z,xi1)+d(root.x,xi2)*d(root.z,xi2)+d(root.x,xi3)*d(root.z,xi3))^2+(d(root.y,xi1)^2+d(root.y,xi2)^2+d(root.y,xi3)^2)^2+2*(d(root.y,xi1)*d(root.z,xi1)+d(root.y,xi2)*d(root.z,xi2)+d(root.y,xi3)*d(root.z,xi3))^2+(d(root.z,xi1)^2+d(root.z,xi2)^2+d(root.z,xi3)^2)^2"/>
      <expressions tag="rho" expression="root.mod1.mat1.def.rho(root.p_i[1/Pa],root.T_RC[1/K])[kg/m^3]" description="Density"/>
      <expressions tag="mu" expression="root.mod1.mat1.def.eta(root.T_RC[1/K])[Pa*s]" description="Dynamic viscosity"/>
      <expressions tag="sr" expression="sqrt(0.5*(4*root.mod1.ux^2+2*(root.mod1.uy+root.mod1.vx)^2+2*(root.mod1.uz+root.mod1.wx)^2+4*root.mod1.vy^2+2*(root.mod1.vz+root.mod1.wy)^2+4*root.mod1.wz^2)+eps)" description="Shear rate"/>
      <expressions tag="Fx" description="Volume force, x component"/>
      <expressions tag="Fy" description="Volume force, y component"/>
      <expressions tag="Fz" description="Volume force, z component"/>
      <expressions tag="U" expression="sqrt(root.mod1.u^2+root.mod1.v^2+root.mod1.w^2)" description="Velocity magnitude"/>
      <expressions tag="vorticityx" expression="root.mod1.wy-root.mod1.vz" description="Vorticity field, x component"/>
      <expressions tag="vorticityy" expression="-root.mod1.wx+root.mod1.uz" description="Vorticity field, y component"/>
      <expressions tag="vorticityz" expression="root.mod1.vx-root.mod1.uy" description="Vorticity field, z component"/>
      <expressions tag="vort_magn" expression="sqrt(root.mod1.spf.vorticityx^2+root.mod1.spf.vorticityy^2+root.mod1.spf.vorticityz^2)" description="Vorticity magnitude"/>
      <expressions tag="cellRe" expression="0.25*root.mod1.spf.rho*sqrt(root.mod1.u^2+root.mod1.v^2+root.mod1.w^2)*root.h/root.mod1.spf.mu" description="Cell Reynolds number"/>
      <expressions tag="nu" expression="root.mod1.spf.mu/root.mod1.spf.rho" description="Kinematic viscosity"/>
      <expressions tag="graduDGxx" expression="root.mod1.ux"/>
      <expressions tag="graduDGyx" expression="root.mod1.vx"/>
      <expressions tag="graduDGzx" expression="root.mod1.wx"/>
      <expressions tag="graduDGxy" expression="root.mod1.uy"/>
      <expressions tag="graduDGyy" expression="root.mod1.vy"/>
      <expressions tag="graduDGzy" expression="root.mod1.wy"/>
      <expressions tag="graduDGxz" expression="root.mod1.uz"/>
      <expressions tag="graduDGyz" expression="root.mod1.vz"/>
      <expressions tag="graduDGzz" expression="root.mod1.wz"/>
      <expressions tag="divuDG" expression="root.mod1.ux+root.mod1.vy+root.mod1.wz"/>
      <expressions tag="K_stress_tensorxx" expression="root.mod1.spf.mu*(-2*root.mod1.spf.graduDGxx+2*root.mod1.spf.divuDG/3)" description="Viscous stress tensor, xx component"/>
      <expressions tag="K_stress_tensoryx" expression="-root.mod1.spf.mu*(root.mod1.spf.graduDGyx+root.mod1.spf.graduDGxy)" description="Viscous stress tensor, yx component"/>
      <expressions tag="K_stress_tensorzx" expression="-root.mod1.spf.mu*(root.mod1.spf.graduDGzx+root.mod1.spf.graduDGxz)" description="Viscous stress tensor, zx component"/>
      <expressions tag="K_stress_tensorxy" expression="-root.mod1.spf.mu*(root.mod1.spf.graduDGxy+root.mod1.spf.graduDGyx)" description="Viscous stress tensor, xy component"/>
      <expressions tag="K_stress_tensoryy" expression="root.mod1.spf.mu*(-2*root.mod1.spf.graduDGyy+2*root.mod1.spf.divuDG/3)" description="Viscous stress tensor, yy component"/>
      <expressions tag="K_stress_tensorzy" expression="-root.mod1.spf.mu*(root.mod1.spf.graduDGzy+root.mod1.spf.graduDGyz)" description="Viscous stress tensor, zy component"/>
      <expressions tag="K_stress_tensorxz" expression="-root.mod1.spf.mu*(root.mod1.spf.graduDGxz+root.mod1.spf.graduDGzx)" description="Viscous stress tensor, xz component"/>
      <expressions tag="K_stress_tensoryz" expression="-root.mod1.spf.mu*(root.mod1.spf.graduDGyz+root.mod1.spf.graduDGzy)" description="Viscous stress tensor, yz component"/>
      <expressions tag="K_stress_tensorzz" expression="root.mod1.spf.mu*(-2*root.mod1.spf.graduDGzz+2*root.mod1.spf.divuDG/3)" description="Viscous stress tensor, zz component"/>
      <expressions tag="K_stress_tensor_testxx" expression="2*root.mod1.spf.mu*test(root.mod1.spf.graduDGxx)+test(root.mod1.p*root.mod1.spf.rho)-2*root.mod1.spf.mu*test(root.mod1.spf.divuDG)/3" description="Viscous stress tensor test, xx component"/>
      <expressions tag="K_stress_tensor_testyx" expression="root.mod1.spf.mu*(test(root.mod1.spf.graduDGyx)+test(root.mod1.spf.graduDGxy))" description="Viscous stress tensor test, yx component"/>
      <expressions tag="K_stress_tensor_testzx" expression="root.mod1.spf.mu*(test(root.mod1.spf.graduDGzx)+test(root.mod1.spf.graduDGxz))" description="Viscous stress tensor test, zx component"/>
      <expressions tag="K_stress_tensor_testxy" expression="root.mod1.spf.mu*(test(root.mod1.spf.graduDGxy)+test(root.mod1.spf.graduDGyx))" description="Viscous stress tensor test, xy component"/>
      <expressions tag="K_stress_tensor_testyy" expression="2*root.mod1.spf.mu*test(root.mod1.spf.graduDGyy)+test(root.mod1.p*root.mod1.spf.rho)-2*root.mod1.spf.mu*test(root.mod1.spf.divuDG)/3" description="Viscous stress tensor test, yy component"/>
      <expressions tag="K_stress_tensor_testzy" expression="root.mod1.spf.mu*(test(root.mod1.spf.graduDGzy)+test(root.mod1.spf.graduDGyz))" description="Viscous stress tensor test, zy component"/>
      <expressions tag="K_stress_tensor_testxz" expression="root.mod1.spf.mu*(test(root.mod1.spf.graduDGxz)+test(root.mod1.spf.graduDGzx))" description="Viscous stress tensor test, xz component"/>
      <expressions tag="K_stress_tensor_testyz" expression="root.mod1.spf.mu*(test(root.mod1.spf.graduDGyz)+test(root.mod1.spf.graduDGzy))" description="Viscous stress tensor test, yz component"/>
      <expressions tag="K_stress_tensor_testzz" expression="2*root.mod1.spf.mu*test(root.mod1.spf.graduDGzz)+test(root.mod1.p*root.mod1.spf.rho)-2*root.mod1.spf.mu*test(root.mod1.spf.divuDG)/3" description="Viscous stress tensor test, zz component"/>
    </objects>
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      <tags tag="Analysis" values="1,'std1/time'"/>
      <selection entityName="Selection" entityComments="" entityAuthor="" entityCreationTime="1304686402915" type="geomdim" geom="//@geom/@geoms[tag='geom1']" domains="355,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354" dim="2" hDim="2"/>
      <expressions tag="nx" expression="root.dnx" description="Normal vector, x component"/>
      <expressions tag="ny" expression="root.dny" description="Normal vector, y component"/>
      <expressions tag="nz" expression="root.dnz" description="Normal vector, z component"/>
      <expressions tag="nxmesh" expression="root.dnxmesh" description="Normal vector, x component"/>
      <expressions tag="nymesh" expression="root.dnymesh" description="Normal vector, y component"/>
      <expressions tag="nzmesh" expression="root.dnzmesh" description="Normal vector, z component"/>
      <expressions tag="T_stressx" expression="2*root.mod1.spf.mu*root.mod1.ux*root.mod1.spf.nx+root.mod1.spf.mu*(root.mod1.uy+root.mod1.vx)*root.mod1.spf.ny+root.mod1.spf.mu*(root.mod1.uz+root.mod1.wx)*root.mod1.spf.nz-2*(root.mod1.ux+root.mod1.vy+root.mod1.wz)*root.mod1.spf.mu*root.mod1.spf.nx/3-root.mod1.p*root.mod1.spf.nx" description="Total stress, x component"/>
      <expressions tag="T_stressy" expression="root.mod1.spf.mu*(root.mod1.vx+root.mod1.uy)*root.mod1.spf.nx+2*root.mod1.spf.mu*root.mod1.vy*root.mod1.spf.ny+root.mod1.spf.mu*(root.mod1.vz+root.mod1.wy)*root.mod1.spf.nz-2*(root.mod1.ux+root.mod1.vy+root.mod1.wz)*root.mod1.spf.mu*root.mod1.spf.ny/3-root.mod1.p*root.mod1.spf.ny" description="Total stress, y component"/>
      <expressions tag="T_stressz" expression="root.mod1.spf.mu*(root.mod1.wx+root.mod1.uz)*root.mod1.spf.nx+root.mod1.spf.mu*(root.mod1.wy+root.mod1.vz)*root.mod1.spf.ny+2*root.mod1.spf.mu*root.mod1.wz*root.mod1.spf.nz-2*(root.mod1.ux+root.mod1.vy+root.mod1.wz)*root.mod1.spf.mu*root.mod1.spf.nz/3-root.mod1.p*root.mod1.spf.nz" description="Total stress, z component"/>
      <expressions tag="K_stressx" expression="root.mod1.spf.mu*(2*root.mod1.ux*root.mod1.spf.nx+(root.mod1.uy+root.mod1.vx)*root.mod1.spf.ny+(root.mod1.uz+root.mod1.wx)*root.mod1.spf.nz-2*(root.mod1.ux+root.mod1.vy+root.mod1.wz)*root.mod1.spf.nx/3)" description="Viscous stress, x component"/>
      <expressions tag="K_stressy" expression="root.mod1.spf.mu*((root.mod1.vx+root.mod1.uy)*root.mod1.spf.nx+2*root.mod1.vy*root.mod1.spf.ny+(root.mod1.vz+root.mod1.wy)*root.mod1.spf.nz-2*(root.mod1.ux+root.mod1.vy+root.mod1.wz)*root.mod1.spf.ny/3)" description="Viscous stress, y component"/>
      <expressions tag="K_stressz" expression="root.mod1.spf.mu*((root.mod1.wx+root.mod1.uz)*root.mod1.spf.nx+(root.mod1.wy+root.mod1.vz)*root.mod1.spf.ny+2*root.mod1.wz*root.mod1.spf.nz-2*(root.mod1.ux+root.mod1.vy+root.mod1.wz)*root.mod1.spf.nz/3)" description="Viscous stress, z component"/>
      <expressions tag="upwind_helpx" expression="down(root.mod1.spf.rho)*root.mod1.u"/>
      <expressions tag="upwind_helpy" expression="down(root.mod1.spf.rho)*root.mod1.v"/>
      <expressions tag="upwind_helpz" expression="down(root.mod1.spf.rho)*root.mod1.w"/>
    </objects>
    <objects xsi:type="com.comsol.mph-v7:Expr" tag="iexpr13" derivedFrom="//@physics/@physints[tag='spf']/@feature/@features[tag='wall1']" storedParent="//@modelNode/@modelNodes[tag='mod1']" entityName="Variables 13" entityComments="" entityAuthor="" entityCreationTime="1304686402982">
      <tags tag="Analysis" values="1,'std1/time'"/>
      <selection entityName="Selection" entityComments="" entityAuthor="" entityCreationTime="1304686402982" type="geomdim" geom="//@geom/@geoms[tag='geom1']" domains="355,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353" dim="2" hDim="2"/>
      <expressions tag="ubndx" description="Velocity at boundary, x component"/>
      <expressions tag="ubndy" description="Velocity at boundary, y component"/>
      <expressions tag="ubndz" description="Velocity at boundary, z component"/>
    </objects>
    <objects xsi:type="com.comsol.mph-v7:Expr" tag="iexpr14" derivedFrom="//@physics/@physints[tag='spf']/@feature/@features[tag='inl1']" storedParent="//@modelNode/@modelNodes[tag='mod1']" entityName="Variables 14" entityComments="" entityAuthor="" entityCreationTime="1304686402985">
      <tags tag="Analysis" values="1,'std1/time'"/>
      <selection entityName="Selection" entityComments="" entityAuthor="" entityCreationTime="1304686402984" type="geomdim" geom="//@geom/@geoms[tag='geom1']" domains="355,1" dim="2" hDim="2"/>
      <expressions tag="p0" expression="root.p_i" description="Pressure"/>
    </objects>
    <objects xsi:type="com.comsol.mph-v7:Expr" tag="iexpr15" derivedFrom="//@physics/@physints[tag='spf']/@feature/@features[tag='inl1']" storedParent="//@modelNode/@modelNodes[tag='mod1']" entityName="Variables 15" entityComments="" entityAuthor="" entityCreationTime="1304686402986">
      <tags tag="Analysis" values="1,'std1/time'"/>
      <selection entityName="Selection" entityComments="" entityAuthor="" entityCreationTime="1304686402986" type="geomdim" geom="//@geom/@geoms[tag='geom1']" domains="355,354" dim="2" hDim="2"/>
      <expressions tag="p0" expression="root.p_o" description="Pressure"/>
    </objects>
    <objects xsi:type="com.comsol.mph-v7:Expr" tag="iexpr16" derivedFrom="//@coordsys/@features[tag='sys1']" storedParent="//@modelNode/@modelNodes[tag='mod1']" entityName="Variables 16" entityComments="" entityAuthor="" entityCreationTime="1304686402987">
      <tags tag="Analysis" values="1,'std1/time'"/>
      <selection entityName="Selection" entityComments="" entityAuthor="" entityCreationTime="1304686402987" type="global"/>
      <expressions tag="T11" expression="if(sqrt((root.nz*root.nx)^2+(root.nz*root.ny)^2+(1-root.nz^2)^2)>1.0E-10,-root.nz*root.nx/sqrt((root.nz*root.nx)^2+(root.nz*root.ny)^2+(1-root.nz^2)^2+eps),(1-root.nx^2)/sqrt((1-root.nx^2)^2+(root.nx*root.ny)^2+(root.nz*root.nx)^2+eps))" description="Coordinate transform to system (sys1), 11 component"/>
      <expressions tag="T21" expression="if(sqrt((root.nz*root.nx)^2+(root.nz*root.ny)^2+(1-root.nz^2)^2)>1.0E-10,root.ny/sqrt((root.nz*root.nx)^2+(root.nz*root.ny)^2+(1-root.nz^2)^2+eps),0)" description="Coordinate transform to system (sys1), 21 component"/>
      <expressions tag="T31" expression="root.nx" description="Coordinate transform to system (sys1), 31 component"/>
      <expressions tag="T12" expression="if(sqrt((root.nz*root.nx)^2+(root.nz*root.ny)^2+(1-root.nz^2)^2)>1.0E-10,-root.nz*root.ny/sqrt((root.nz*root.nx)^2+(root.nz*root.ny)^2+(1-root.nz^2)^2+eps),-root.nx*root.ny/sqrt((1-root.nx^2)^2+(root.nx*root.ny)^2+(root.nz*root.nx)^2+eps))" description="Coordinate transform to system (sys1), 12 component"/>
      <expressions tag="T22" expression="if(sqrt((root.nz*root.nx)^2+(root.nz*root.ny)^2+(1-root.nz^2)^2)>1.0E-10,-root.nx/sqrt((root.nz*root.nx)^2+(root.nz*root.ny)^2+(1-root.nz^2)^2+eps),root.nz/sqrt((1-root.nx^2)^2+(root.nx*root.ny)^2+(root.nz*root.nx)^2+eps))" description="Coordinate transform to system (sys1), 22 component"/>
      <expressions tag="T32" expression="root.ny" description="Coordinate transform to system (sys1), 32 component"/>
      <expressions tag="T13" expression="if(sqrt((root.nz*root.nx)^2+(root.nz*root.ny)^2+(1-root.nz^2)^2)>1.0E-10,(1-root.nz^2)/sqrt((root.nz*root.nx)^2+(root.nz*root.ny)^2+(1-root.nz^2)^2+eps),-root.nx*root.nz/sqrt((1-root.nx^2)^2+(root.nx*root.ny)^2+(root.nz*root.nx)^2+eps))" description="Coordinate transform to system (sys1), 13 component"/>
      <expressions tag="T23" expression="if(sqrt((root.nx*root.nz)^2+(root.nz*root.ny)^2+(1-root.nz^2)^2)>1.0E-10,0,-root.ny/sqrt((1-root.nx^2)^2+(root.nx*root.ny)^2+(root.nx*root.nz)^2+eps))" description="Coordinate transform to system (sys1), 23 component"/>
      <expressions tag="T33" expression="root.nz" description="Coordinate transform to system (sys1), 33 component"/>
      <expressions tag="detT" expression="root.mod1.sys1.T11*root.mod1.sys1.T22*root.mod1.sys1.T33+root.mod1.sys1.T12*root.mod1.sys1.T23*root.mod1.sys1.T31+root.mod1.sys1.T13*root.mod1.sys1.T21*root.mod1.sys1.T32-root.mod1.sys1.T11*root.mod1.sys1.T23*root.mod1.sys1.T32-root.mod1.sys1.T12*root.mod1.sys1.T21*root.mod1.sys1.T33-root.mod1.sys1.T13*root.mod1.sys1.T22*root.mod1.sys1.T31" description="Determinant of coordinate transform to system"/>
      <expressions tag="e_t11" expression="root.mod1.sys1.T11" description="Base vector (sys1) t1, x component"/>
      <expressions tag="e_t12" expression="root.mod1.sys1.T12" description="Base vector (sys1) t1, y component"/>
      <expressions tag="e_t13" expression="root.mod1.sys1.T13" description="Base vector (sys1) t1, z component"/>
      <expressions tag="e_t21" expression="root.mod1.sys1.T21" description="Base vector (sys1) t2, x component"/>
      <expressions tag="e_t22" expression="root.mod1.sys1.T22" description="Base vector (sys1) t2, y component"/>
      <expressions tag="e_t23" expression="root.mod1.sys1.T23" description="Base vector (sys1) t2, z component"/>
      <expressions tag="e_n1" expression="root.mod1.sys1.T31" description="Base vector (sys1) n, x component"/>
      <expressions tag="e_n2" expression="root.mod1.sys1.T32" description="Base vector (sys1) n, y component"/>
      <expressions tag="e_n3" expression="root.mod1.sys1.T33" description="Base vector (sys1) n, z component"/>
      <expressions tag="gSub11" expression="root.mod1.sys1.T11^2+root.mod1.sys1.T12^2+root.mod1.sys1.T13^2" description="Covariant metric tensor, 11 component"/>
      <expressions tag="gSub21" expression="root.mod1.sys1.T21*root.mod1.sys1.T11+root.mod1.sys1.T22*root.mod1.sys1.T12+root.mod1.sys1.T23*root.mod1.sys1.T13" description="Covariant metric tensor, 21 component"/>
      <expressions tag="gSub31" expression="root.mod1.sys1.T31*root.mod1.sys1.T11+root.mod1.sys1.T32*root.mod1.sys1.T12+root.mod1.sys1.T33*root.mod1.sys1.T13" description="Covariant metric tensor, 31 component"/>
      <expressions tag="gSub12" expression="root.mod1.sys1.T11*root.mod1.sys1.T21+root.mod1.sys1.T12*root.mod1.sys1.T22+root.mod1.sys1.T13*root.mod1.sys1.T23" description="Covariant metric tensor, 12 component"/>
      <expressions tag="gSub22" expression="root.mod1.sys1.T21^2+root.mod1.sys1.T22^2+root.mod1.sys1.T23^2" description="Covariant metric tensor, 22 component"/>
      <expressions tag="gSub32" expression="root.mod1.sys1.T31*root.mod1.sys1.T21+root.mod1.sys1.T32*root.mod1.sys1.T22+root.mod1.sys1.T33*root.mod1.sys1.T23" description="Covariant metric tensor, 32 component"/>
      <expressions tag="gSub13" expression="root.mod1.sys1.T11*root.mod1.sys1.T31+root.mod1.sys1.T12*root.mod1.sys1.T32+root.mod1.sys1.T13*root.mod1.sys1.T33" description="Covariant metric tensor, 13 component"/>
      <expressions tag="gSub23" expression="root.mod1.sys1.T21*root.mod1.sys1.T31+root.mod1.sys1.T22*root.mod1.sys1.T32+root.mod1.sys1.T23*root.mod1.sys1.T33" description="Covariant metric tensor, 23 component"/>
      <expressions tag="gSub33" expression="root.mod1.sys1.T31^2+root.mod1.sys1.T32^2+root.mod1.sys1.T33^2" description="Covariant metric tensor, 33 component"/>
      <expressions tag="invT11" expression="if(sqrt((root.nz*root.nx)^2+(root.nz*root.ny)^2+(1-root.nz^2)^2)>1.0E-10,-root.nz*root.nx/sqrt((root.nz*root.nx)^2+(root.nz*root.ny)^2+(1-root.nz^2)^2+eps),(1-root.nx^2)/sqrt((1-root.nx^2)^2+(root.nx*root.ny)^2+(root.nz*root.nx)^2+eps))" description="Coordinate transform from system (sys1), 11 component"/>
      <expressions tag="invT21" expression="if(sqrt((root.nz*root.nx)^2+(root.nz*root.ny)^2+(1-root.nz^2)^2)>1.0E-10,-root.nz*root.ny/sqrt((root.nz*root.nx)^2+(root.nz*root.ny)^2+(1-root.nz^2)^2+eps),-root.nx*root.ny/sqrt((1-root.nx^2)^2+(root.nx*root.ny)^2+(root.nz*root.nx)^2+eps))" description="Coordinate transform from system (sys1), 21 component"/>
      <expressions tag="invT31" expression="if(sqrt((root.nz*root.nx)^2+(root.nz*root.ny)^2+(1-root.nz^2)^2)>1.0E-10,(1-root.nz^2)/sqrt((root.nz*root.nx)^2+(root.nz*root.ny)^2+(1-root.nz^2)^2+eps),-root.nx*root.nz/sqrt((1-root.nx^2)^2+(root.nx*root.ny)^2+(root.nz*root.nx)^2+eps))" description="Coordinate transform from system (sys1), 31 component"/>
      <expressions tag="invT12" expression="if(sqrt((root.nz*root.nx)^2+(root.nz*root.ny)^2+(1-root.nz^2)^2)>1.0E-10,root.ny/sqrt((root.nz*root.nx)^2+(root.nz*root.ny)^2+(1-root.nz^2)^2+eps),0)" description="Coordinate transform from system (sys1), 12 component"/>
      <expressions tag="invT22" expression="if(sqrt((root.nz*root.nx)^2+(root.nz*root.ny)^2+(1-root.nz^2)^2)>1.0E-10,-root.nx/sqrt((root.nz*root.nx)^2+(root.nz*root.ny)^2+(1-root.nz^2)^2+eps),root.nz/sqrt((1-root.nx^2)^2+(root.nx*root.ny)^2+(root.nz*root.nx)^2+eps))" description="Coordinate transform from system (sys1), 22 component"/>
      <expressions tag="invT32" expression="if(sqrt((root.nx*root.nz)^2+(root.nz*root.ny)^2+(1-root.nz^2)^2)>1.0E-10,0,-root.ny/sqrt((1-root.nx^2)^2+(root.nx*root.ny)^2+(root.nx*root.nz)^2+eps))" description="Coordinate transform from system (sys1), 32 component"/>
      <expressions tag="invT13" expression="root.nx" description="Coordinate transform from system (sys1), 13 component"/>
      <expressions tag="invT23" expression="root.ny" description="Coordinate transform from system (sys1), 23 component"/>
      <expressions tag="invT33" expression="root.nz" description="Coordinate transform from system (sys1), 33 component"/>
      <expressions tag="detInvT" expression="root.mod1.sys1.invT11*root.mod1.sys1.invT22*root.mod1.sys1.invT33+root.mod1.sys1.invT12*root.mod1.sys1.invT23*root.mod1.sys1.invT31+root.mod1.sys1.invT13*root.mod1.sys1.invT21*root.mod1.sys1.invT32-root.mod1.sys1.invT11*root.mod1.sys1.invT23*root.mod1.sys1.invT32-root.mod1.sys1.invT12*root.mod1.sys1.invT21*root.mod1.sys1.invT33-root.mod1.sys1.invT13*root.mod1.sys1.invT22*root.mod1.sys1.invT31" description="Determinant of coordinate transform to system"/>
      <expressions tag="gSup11" expression="root.mod1.sys1.invT11^2+root.mod1.sys1.invT21^2+root.mod1.sys1.invT31^2" description="Contravariant metric tensor, 11 component"/>
      <expressions tag="gSup21" expression="root.mod1.sys1.invT12*root.mod1.sys1.invT11+root.mod1.sys1.invT22*root.mod1.sys1.invT21+root.mod1.sys1.invT32*root.mod1.sys1.invT31" description="Contravariant metric tensor, 21 component"/>
      <expressions tag="gSup31" expression="root.mod1.sys1.invT13*root.mod1.sys1.invT11+root.mod1.sys1.invT23*root.mod1.sys1.invT21+root.mod1.sys1.invT33*root.mod1.sys1.invT31" description="Contravariant metric tensor, 31 component"/>
      <expressions tag="gSup12" expression="root.mod1.sys1.invT11*root.mod1.sys1.invT12+root.mod1.sys1.invT21*root.mod1.sys1.invT22+root.mod1.sys1.invT31*root.mod1.sys1.invT32" description="Contravariant metric tensor, 12 component"/>
      <expressions tag="gSup22" expression="root.mod1.sys1.invT12^2+root.mod1.sys1.invT22^2+root.mod1.sys1.invT32^2" description="Contravariant metric tensor, 22 component"/>
      <expressions tag="gSup32" expression="root.mod1.sys1.invT13*root.mod1.sys1.invT12+root.mod1.sys1.invT23*root.mod1.sys1.invT22+root.mod1.sys1.invT33*root.mod1.sys1.invT32" description="Contravariant metric tensor, 32 component"/>
      <expressions tag="gSup13" expression="root.mod1.sys1.invT11*root.mod1.sys1.invT13+root.mod1.sys1.invT21*root.mod1.sys1.invT23+root.mod1.sys1.invT31*root.mod1.sys1.invT33" description="Contravariant metric tensor, 13 component"/>
      <expressions tag="gSup23" expression="root.mod1.sys1.invT12*root.mod1.sys1.invT13+root.mod1.sys1.invT22*root.mod1.sys1.invT23+root.mod1.sys1.invT32*root.mod1.sys1.invT33" description="Contravariant metric tensor, 23 component"/>
      <expressions tag="gSup33" expression="root.mod1.sys1.invT13^2+root.mod1.sys1.invT23^2+root.mod1.sys1.invT33^2" description="Contravariant metric tensor, 33 component"/>
    </objects>
    <objects xsi:type="com.comsol.mph-v7:Expr" tag="iexpr17" derivedFrom="//@material/@materials[tag='mat1']/@materialmodel/@models[tag='def']" entityName="Variables 17" entityComments="" entityAuthor="" entityCreationTime="1304686403014">
      <tags tag="Analysis" values="1,'std1/time'"/>
      <selection entityName="Selection" entityComments="" entityAuthor="" entityCreationTime="1304686403014" type="global"/>
      <expressions tag="mur11" expression="1"/>
      <expressions tag="mur21"/>
      <expressions tag="mur31"/>
      <expressions tag="mur12"/>
      <expressions tag="mur22" expression="1"/>
      <expressions tag="mur32"/>
      <expressions tag="mur13"/>
      <expressions tag="mur23"/>
      <expressions tag="mur33" expression="1"/>
      <expressions tag="epsilonr11" expression="1"/>
      <expressions tag="epsilonr21"/>
      <expressions tag="epsilonr31"/>
      <expressions tag="epsilonr12"/>
      <expressions tag="epsilonr22" expression="1"/>
      <expressions tag="epsilonr32"/>
      <expressions tag="epsilonr13"/>
      <expressions tag="epsilonr23"/>
      <expressions tag="epsilonr33" expression="1"/>
      <expressions tag="mu" expression="eta(T[1/K])[Pa*s]"/>
      <expressions tag="gamma" expression="1.4"/>
      <expressions tag="sigma11" expression="0[S/m]"/>
      <expressions tag="sigma21"/>
      <expressions tag="sigma31"/>
      <expressions tag="sigma12"/>
      <expressions tag="sigma22" expression="0[S/m]"/>
      <expressions tag="sigma32"/>
      <expressions tag="sigma13"/>
      <expressions tag="sigma23"/>
      <expressions tag="sigma33" expression="0[S/m]"/>
      <expressions tag="Cp" expression="Cp(T[1/K])[J/(kg*K)]"/>
      <expressions tag="rho" expression="rho(pA[1/Pa],T[1/K])[kg/m^3]"/>
      <expressions tag="k11" expression="k(T[1/K])[W/(m*K)]"/>
      <expressions tag="k21"/>
      <expressions tag="k31"/>
      <expressions tag="k12"/>
      <expressions tag="k22" expression="k(T[1/K])[W/(m*K)]"/>
      <expressions tag="k32"/>
      <expressions tag="k13"/>
      <expressions tag="k23"/>
      <expressions tag="k33" expression="k(T[1/K])[W/(m*K)]"/>
      <expressions tag="c" expression="cs(T[1/K])[m/s]"/>
    </objects>
  </expr>
  <func entityName="List" entityComments="" entityAuthor="" entityCreationTime="1302636690921" model="/">
    <features xsi:type="com.comsol.mph-v7:FunctionFeature" tag="step1" activeFlag="false" entityName="Step 1" entityComments="" entityAuthor="" entityCreationTime="1302636997752" operationID="Step">
      <properties tag="funcname" value="step1"/>
      <properties tag="location" value="0.5"/>
      <properties tag="from" value="1"/>
      <properties tag="to" value="0.5"/>
      <properties tag="smooth" value="0.001"/>
      <properties tag="smoothactive" value="on"/>
    </features>
  </func>
  <init entityName="List" entityComments="" entityAuthor="" entityCreationTime="1302636740328" model="/">
    <objects xsi:type="com.comsol.mph-v7:Init" tag="init1" derivedFrom="//@physics/@physints[tag='chcs']/@feature/@features[tag='init1']" entityName="Variables 1" entityComments="" entityAuthor="" entityCreationTime="1304686402535">
      <selection storedParent="//@modelNode/@modelNodes[tag='mod1']" entityName="Selection" entityComments="" entityAuthor="" entityCreationTime="1304686402536" type="geomdim" geom="//@geom/@geoms[tag='geom1']" domains="2,1" dim="3" hDim="3"/>
      <expressions tag="whelium" expression="1/2"/>
      <expressions tag="root.mod1.whydrogen" expression="0.5"/>
    </objects>
    <objects xsi:type="com.comsol.mph-v7:Init" tag="init2" derivedFrom="//@physics/@physints[tag='spf']/@feature/@features[tag='init1']" entityName="Variables 2" entityComments="" entityAuthor="" entityCreationTime="1304686402695">
      <selection storedParent="//@modelNode/@modelNodes[tag='mod1']" entityName="Selection" entityComments="" entityAuthor="" entityCreationTime="1304686402696" type="geomdim" geom="//@geom/@geoms[tag='geom1']" domains="2,1" dim="3" hDim="3"/>
      <expressions tag="root.mod1.u"/>
      <expressions tag="root.mod1.v"/>
      <expressions tag="root.mod1.w"/>
      <expressions tag="root.mod1.p"/>
      <expressions tag="k" expression="spf.kinit"/>
      <expressions tag="ep" expression="spf.epinit"/>
      <expressions tag="G" expression="spf.G0"/>
      <expressions tag="pc"/>
      <expressions tag="nutilde" expression="spf.nutildeinit"/>
    </objects>
  </init>
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              <properties tag="renderwireframe" value="off"/>
              <properties tag="showlabels" value="off"/>
              <properties tag="showgrid" value="on"/>
              <properties tag="projection" value="perspective"/>
              <properties tag="preserveaspect" value="on"/>
              <properties tag="locked" value="off"/>
              <properties tag="drawhidestatus" value="hide"/>
              <properties tag="geomhidestatus" value="hide"/>
              <properties tag="isnew" value="off"/>
              <properties tag="postviewkey" value=""/>
              <hideEntities xsi:type="com.comsol.mph-v7:SavePointHideGeomList" entityName="List" entityComments="" entityAuthor="" entityCreationTime="1304616558740" model="/"/>
            </views>
          </view>
        </objects>
      </geom>
    </objects>
  </savePointData>
</com.comsol.mph-v7:Model>
