Engineering Transactions, 39, 2, pp. 289-295, 1991

Exact Solutions of a Discrete Velocity Model of a Gas With Molecules Dissociation

R. Monaco
Department of Mathematics, University of Genova, Genova
Italy

T. Płatkowski
Department of Mathematics, Informatics and Mechanics, University of Warszawa, Warszawa
Poland

We propose an elementary discrete velocity model of a gas, describing dissociation of diatomic molecules. We found exact analytical solutions to the following problems: 1) wave propagation in an unbounded domain; 2) boundary value problem with boundary conditions admitting sources on the walls.

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References

R. MONACO and M. PANDOLFI BIANCHI, A discrete velocity model for gases with chemical reactions of dissociation and recombination, in: Proc. Conference in Honour of H. Cabannes, [Ed.] R. GATIGNOL, Springer, Berlin 1990 (in press).

E. GABETTA and R. MONACO, On the modelling of the discrete Boltzmann equation for gases with bi-molecular chemical reactions, in: Proc. Euromech Colloquium Discrete Models in Fluid Dynamics, [Ed.] A. ALVES, World Sci., London 1990 (in press).

H. CORNILLE, Exact solutions to the Boltzmann equation, in: Partially lntegrable Equations in Physics, [Ed.] R. CONTI, Kluwer Acad. Publ., Amsterdam 1990.

T. PŁATKOWSKI, Boundary value problems for a class of the Broadwell models of the Boltzmann equation, Trans. Theory Stat. Phys., 199 (in press).




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