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Journal of Applied Mechanics and Technical Physics

2016 year, number 1

Solution with a Linear Velocity Field for a Submodel of One-Dimensional Gas Motions

Yu. V. Yulmukhametova
Mavlyutov Institute of Mechanics, Ufa Scientific Center, Russian Academy of Sciences, Ufa 450054, Russia
Keywords: подмодели ранга два газовой динамики, линейное поле скоростей, плоский коллапс политропного газа, rank two submodels of gas dynamics, linear velocity field, planar collapse of a polytropic gas


A method for finding exact solutions of the equations of gas dynamics with a linear velocity field is proposed. This method was used to find exact solutions for one submodel of the evolutionary type which was fully integrated for the case of a polytropic gas. Examples of particle motion for the obtain exact solutions are given.