Within discrete kinetic theory, steady detonation wave solutions are here characterized for a reacting hydrogen‐oxygen system. Using a suitable kinetic model, the so‐called velocity problem is first solved, finding the von Neumann and equilibrium final states, as well as the intermediate states of partial reaction. On the basis of the sonic properties of the flow at the equilibrium final state, the boundary problem is treated in order to characterize the following flow connecting the final state to the rear boundary. Some numerical results of the detonation problem are provided for the two‐way autocatalytic reactions OH+M⇄H+O+M. The Hugoniot diagram of the model is carried out; the profile of the pressure is drawn and the detonation wave thickness is represented for different detonation wave velocities.
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December 1996
Research Article|
December 01 1996
A kinetic model for a reactive gas flow: Steady detonation and speeds of sound
M. Pandolfi Bianchi;
M. Pandolfi Bianchi
Dipartimento di Matematica, Politecnico di Torino, Corso Duca Degli Abruzzi, 24, 10129 Torino, Italy
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A. J. Soares
A. J. Soares
Departamento de Matemática, Universidade de Coimbra, Apartado 3008, 3000 Coimbra, Portugal
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Physics of Fluids 8, 3423–3432 (1996)
Article history
Received:
May 14 1996
Accepted:
August 07 1996
Citation
M. Pandolfi Bianchi, A. J. Soares; A kinetic model for a reactive gas flow: Steady detonation and speeds of sound. Physics of Fluids 1 December 1996; 8 (12): 3423–3432. https://doi.org/10.1063/1.869111
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