Self-similar solutions of the problem of displacement of one gas by another in an axisymmetric case with a quadratic drag law |
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Authors: | Yu. N. Gordeev A. E. Sandakov Yu. L. Chizhov |
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Affiliation: | (1) Moscow Engineering Physics Institute (State University), Moscow, 115409, Russia;(2) Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, 119526, Russia |
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Abstract: | A problem of piston-induced displacement of one gas by another in cracks (porous media) in an axisymmetric case with a quadratic drag law is studied. Self-similar solutions for determining the dynamic characteristics (velocity and pressure) of the displacing and displaced gases are constructed in quadratures. The velocity and pressure are studied as functions of a self-similar variable for several initial conditions and parameters. __________ Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 49, No. 5, pp. 87–92, September–October, 2008. |
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Keywords: | self-similarity displacement gas drag crack porous medium |
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