Page 304 - Introduction to Computational Fluid Dynamics
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APPENDIX A. DERIVATION OF TRANSPORT EQUATIONS
By using Equation A.5, the left-hand side of this equation can be replaced by 13:6 283
o
o
ρ m De /Dt. Further, if e is replaced by enthalpy h (see Equation A.25), Equa-
tion A.36 can also be written as
∂ m
Dh ∂ ∂T j,k h k Dp
˙
˙
ρ m = k m − + µ v + + Q chem + Q rad .
Dt ∂x j ∂x j ∂x j Dt
(A.37)
For reacting or nonreacting mixtures and under various assumptions listed in
[33], it is possible to combine energy transfer by conduction and mass diffusion so
that Equation A.37 may also be written as
Dh ∂ k m ∂h Dp
˙
˙
ρ m = + µ v + + Q chem + Q rad . (A.38)
Dt ∂x j Cp m ∂x j Dt
