CONTINUUM THEORY OF CHEMICALLY REACTING MEDIA.
PURDUE UNIV LAFAYETTE IN SCHOOL OF AERONAUTICS AND ASTRONAUTICS
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The basic field equations, boundary conditions and constitutive equations necessary for the treatment of problems concerning the nonlinear, dynamic behaviour of mixtures of reacting, Stokesian fluids subject to large deformation rates, thermal gradients and concentration gradients are derived. These are applied to the problem of propagation of small disturbancesp in a binary, reacting mixture. The basic equations are formulated to include the laws of conservation of mass and energy, and principles of balance of momentum, moment of momentum, and entropy. The form of the local Clausius-Duhem inequality is derived for each of the components of the mixture. The constitutive equations characterize the stress, heat fluxes, transfer quantities relating to diffusion and chemical reaction, and the internal energy and entropy. The Clausius-Duhem inequality is then used to restrict the form of the response functions appearing in these equations. Specialized forms of the constitutive equations applicable to large deformation rates and large temperature gradients but linear in the other variables are presented. Author