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.
Keywords:
gas filtration, shock wave, approximate submodel.
Citation:
S. V. Khabirov, “Gas pressure equalization in a porous medium filling a tube with a closed end, uponon impact”, Prikl. Mekh. Tekh. Fiz., 57:6 (2016), 33–41; J. Appl. Mech. Tech. Phys., 57:6 (2016), 989–996
\Bibitem{Kha16}
\by S.~V.~Khabirov
\paper Gas pressure equalization in a porous medium filling a tube with a closed end, uponon impact
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2016
\vol 57
\issue 6
\pages 33--41
\mathnet{http://mi.mathnet.ru/pmtf766}
\crossref{https://doi.org/10.15372/PMTF20160605}
\elib{https://elibrary.ru/item.asp?id=28103703}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2016
\vol 57
\issue 6
\pages 989--996
\crossref{https://doi.org/10.1134/S0021894416060055}
Linking options:
https://www.mathnet.ru/eng/pmtf766
https://www.mathnet.ru/eng/pmtf/v57/i6/p33
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