Hierarchy of the models of classical mechanics of inhomogeneous fluids |
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Authors: | Yu D Chashechkin |
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Institution: | 1.Ishlinskii Institute for Problems in Mechanics,Russian Academy of Sciences,Moscow,Russia |
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Abstract: | The methods of perturbation theory and integral representations are used to analyze the general properties of a system of
equations of the mechanics of inhomogeneous fluids including the equations of momentum, mass, and temperature transfer. We
also consider various submodels of this system, including the reduced systems in which some kinetic coefficients are equal
to zero and degenerate systems in which the variations of density or some other variables are neglected. We analyze both regularly
perturbed and singularly perturbed solutions of the system. In the case of reduction or degeneration of solutions, the order
of the system decreases. In this case, regularly perturbed solutions are preserved (with certain modifications) but the number
of singularly perturbed components participating in the formation of the boundary layers on contact surfaces and their analogs
in the bulk of the fluid, i.e., the elongated high-gradient interlayers, decreases. The interaction between all components
of the currents is nonlinear, despite the fact that their characteristic scales are different. |
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Keywords: | |
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