# Specific heat, density evaluation in mixture eqn

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 January 28, 2008, 11:13 Specific heat, density evaluation in mixture eqn #1 CFDtoy Guest   Posts: n/a Hello, While solving the enthalpy eqn for mixture (multiphase flows), what is the best way to compute the mixture Cp and mixture density. Using a linear combination rhomix = alpha*rhol + (1-alpha)*rhog cpmix = (alpha1*rho1*cp1+alpha2*rho2*cp2)/(rhomix) results in a cp very very sensitive to alpha. I have problems with high temperatures since i solve enthalpy eqn and get T = h/cpmix due to this strong dependency. is there a better stable evaluation of mixture cp,density and hence the mixture fluxes? what could be done to avoid the dependency of cp,density on alpha ? Thanks, CFDtoy

 January 29, 2008, 03:08 Re: Specific heat, density evaluation in mixture e #2 Rami Guest   Posts: n/a I am not sure what your alpha's are. I will use mass fractions instead (which you may later convert to you alpha's, if you wish). Let Yk be the mass fraction of the k-th species. Using Cp's expressed in per-mass units, and assuming Cp,k is the value of the k-th species, the mixture Cp (denoted Cp,mix) is Cp,mix = (sum on all species k of) {Cp,k*Yk} For the mixture density (denoted rho,mix) relation to the species densities (dented rho,k), the relation is rho,mix = 1 / [ (sum on all species k of) {Yk/rho,k} ] The reference I used is the CHEMKIN manual. You may find similar expressions in textbooks as well.

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