The Application of An Explicit Numerical Method to a Reaction Diffusion System I
The Application of An Explicit Numerical Method to a Reaction Diffusion System I
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2. GOVERNING EQUATIONS The general set of equations which describe one-dimensional flame propagation consists of the conservation and state equa- tions for reactive flows which can be written as follows (Williams [5]).
19. + 9 (Pu) 9t 8x (1) 9 (pu), 3pu dt 9x _3P + ^ LM dx 9xr3x (2) 9t 9x 9t 9x 9x 9_riJ_ 9u^ 9x 2 9x . 3_|^J^SU, . , avl^l (3) 9pY (k; 9t 9puY (k) 9x 9x jg(k) 9Y (k; 9x (k) k=l, . . . , N (4) P^T I fy^^Vw^'^M (5) where I Y (k), (k) + u^/2 N I Y k=l (k) (k) dT' + h (k) 2/-, u /2 (6)... The first four equations are the overall mass, momentum, energy and the N species conservation equations for the N chemical species having mass fractions mass averaged gas velocity.
(k) is the pressure, temperature and density. In Eq. (5), the thermal equation of state, it has been assumed that the mixture behaves (k) as a perfect gas. Here W is the species molecular weight.
Fick's law has been employed to describe species diffusion effects with species diffusion coefficients ^ . To is the mass rate of creation or depletion of species (k), and h^ ' is the heat of formation of species (k) at temperature Thermal radiation, body forces, Soret, Dufour, and pressure gradient diffusion, and bulk viscosity effects have been assumed to be negligible.
What to read after The Application of An Explicit Numerical Method to a Reaction Diffusion System I?
You can find similar books in the "Read Also" column, or choose other free books by Rolf D Reitz to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
2. GOVERNING EQUATIONS The general set of equations which describe one-dimensional flame propagation consists of the conservation and state equa- tions for reactive flows which can be written as follows (Williams [5]).
19. + 9 (Pu) 9t 8x (1) 9 (pu), 3pu dt 9x _3P + ^ LM dx 9xr3x (2) 9t 9x 9t 9x 9x 9_riJ_ 9u^ 9x 2 9x . 3_|^J^SU, . , avl^l (3) 9pY (k; 9t 9puY (k) 9x 9x jg(k) 9Y (k; 9x (k) k=l, . . . , N (4) P^T I fy^^Vw^'^M (5) where I Y (k), (k) + u^/2 N I Y k=l (k) (k) dT' + h (k) 2/-, u /2 (6)... The first four equations are the overall mass, momentum, energy and the N species conservation equations for the N chemical species having mass fractions mass averaged gas velocity.
(k) is the pressure, temperature and density. In Eq. (5), the thermal equation of state, it has been assumed that the mixture behaves (k) as a perfect gas. Here W is the species molecular weight.
Fick's law has been employed to describe species diffusion effects with species diffusion coefficients ^ . To is the mass rate of creation or depletion of species (k), and h^ ' is the heat of formation of species (k) at temperature Thermal radiation, body forces, Soret, Dufour, and pressure gradient diffusion, and bulk viscosity effects have been assumed to be negligible.
What to read after The Application of An Explicit Numerical Method to a Reaction Diffusion System I?
You can find similar books in the "Read Also" column, or choose other free books by Rolf D Reitz to read onlineMoreLess
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