Papers by 2éme mathématiques appliquées
Science China Mathematics, 2011
We first present multicomponent flow models derived from the kinetic theory of gases. We then inv... more We first present multicomponent flow models derived from the kinetic theory of gases. We then investigate the symmetric hyperbolic-parabolic structure of the resulting system of partial differential equations and discuss the Cauchy problem for smooth solutions. We also address the existence of deflagration waves also termed anchored waves. We further indicate related models which have a similar hyperbolic-parabolic structure, notably the Saint-Venant system with a temperature equation as well as the equations governing chemical equilibrium flows. We next investigate multicomponent ionized and magnetized flow models with anisotropic transport fluxes which have a different mathematical structure. We finally discuss numerical algorithms specifically devoted to complex chemistry flows, in particular the evaluation of multicomponent transport properties, as well as the impact of multicomponent transport.
Combustion Theory and Modelling, 2011
We first investigate a detailed high pressure flame model. Our model is based on thermodynamics o... more We first investigate a detailed high pressure flame model. Our model is based on thermodynamics of irreversible processes, statistical thermodynamics, and the kinetic theory of dense gases. We study thermodynamic properties, chemical production rates, transport fluxes, and establish that entropy production is nonnegative. We next investigate the structure of planar transcritical H 2-O 2-N 2 flames and perform a sensitivity analysis with respect to the model. Nonidealities in the equation of state and in the transport fluxes have a dramatic influence on the cold zone of the flame. Nonidealities in the chemical production rates-consistent with thermodynamics and important to insure positivity of entropy production-may also strongly influence flame structures at very high pressures. At sufficiently low temperatures, fresh mixtures of H 2-O 2-N 2 flames are found to be thermodynamically unstable in agreement with experimental results. We finally study the influence of various parameters associated with the initial reactants on the structure of transcritical planar H 2-O 2-N 2 flames as well as lean and rich extinction limits.
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Papers by 2éme mathématiques appliquées