Riv.Mat.Univ.Parma (6) 3 (2000)

M. PANDOLFI BIANCHI and A. J. SOARES

Kinetic formulation of linear stability for steady detonation waves

Pages: 171-194
Received: 14 June 2000   
Mathematics Subject Classification (2000): 76P05 - 82C40 - 82C70


Abstract: Within discrete kinetic theory extended to chemically reacting gases, the linear stability problem is formulated for one--dimensional steady detonation waves with finite reaction zone. The stability equations are deduced in a general form with reference to a class of discrete kinetic models for several gases and one reversible chemical reaction.

An acoustic analysis is performed at the thermodynamical equilibrium and a radiation condition is assumed in order to deduce the dispersion relation needed to make the stability equations solvable.

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