Localization of gas-dynamic processes and structure when the material is compressed adiabatically, in the peaking mode. (English. Russian original) Zbl 0591.76129
J. Appl. Math. Mech. 48, 672-678 (1984); translation from Prikl. Mat. Mekh. 48, 921-928 (1984).
Summary: Adiabatic compression of gas by a piston, the pressure on which increases in the peaking mode, is studied. The entropy is distributed over the mass. A class of selfsimilar solutions (the LS mode) is constructed and its properties are studied. It is shown that the effective dimensions of the compression wave decrease with time and all gas-dynamic perturbations are localized within a finite mass of the gas. The solutions obtained are characterized by the presence of a structure (inhomogeneities) in the density and temperature. The compression occurs without the formation of shock waves.
Keywords:
existence; construction of solutions; localization of diffusion; processes; formation of non-stationary dissipative structures; Adiabatic compression of gas by a piston; peaking mode; class of selfsimilar solutions; compression wave; gas-dynamic perturbations; formation of shock wavesReferences:
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