GAS PRESSURE EQUALIZATION IN A POROUS MEDIUM FILLING A TUBE WITH A CLOSED END, UPONON IMPACT
S.V. Khabirov
Mavlyutov Institute of Mechanics, Ufa Scientific Center, Russian Academy of Sciences, Ufa, 450054, Russia
Keywords: фильтрация газа, ударная волна, приближенная подмодель, gas filtration, shock wave, approximate submodel
Abstract
The problem of gas pressure equalization in a porous medium filling a tube with a closed end upon impact is solved.In this case, the initial filtration velocity behind the shock wave should be specified as initial data, in addition to the impact pressure.It is shown that the pressure surge decays at a finite distance and pressure equalization occurs in a finite time. Approximate submodels of discontinuous and smooth solutions are obtained.
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