Tr. Mat. Inst. Steklova, 2018, Volume 300, Pages 216–228
Flow structure behind a shock wave in a channel with periodically arranged obstacles
V. A. Shargatova, A. P. Chugainovab, S. V. Gorkunova, S. I. Sumskoia
a National Research Nuclear University MEPhI, Kashirskoe sh. 31, Moscow, 115409 Russia
b Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
We study the propagation of a pressure wave in a rectangular channel with periodically arranged obstacles and show that a flow corresponding to a discontinuity structure may exist in such a channel. The discontinuity structure is a complex consisting of a leading shock wave and a zone in which pressure relaxation occurs. The pressure at the end of the relaxation zone can be much higher than the pressure immediately behind the gas-dynamic shock. We derive an approximate formula that relates the gas parameters behind the discontinuity structure to the average velocity of the structure. The calculations of the pressure, velocity, and density of the gas behind the structure that are based on the average velocity of the structure agree well with the results of gas-dynamic calculations. The approximate dependences obtained allow us to estimate the minimum pressure at which there exists a flow with a discontinuity structure. This estimate is confirmed by gas-dynamic calculations.
|Russian Science Foundation
|This work is supported by the Russian Science Foundation under grant 16-19-00188.
PDF file (756 kB)
First page: PDF file
Proceedings of the Steklov Institute of Mathematics, 2018, 300, 206–218
Received: October 25, 2017
V. A. Shargatov, A. P. Chugainova, S. V. Gorkunov, S. I. Sumskoi, “Flow structure behind a shock wave in a channel with periodically arranged obstacles”, Modern problems and methods in mechanics, Collected papers. On the occasion of the 110th anniversary of the birth of Academician Leonid Ivanovich Sedov, Tr. Mat. Inst. Steklova, 300, MAIK Nauka/Interperiodica, Moscow, 2018, 216–228; Proc. Steklov Inst. Math., 300 (2018), 206–218
Citation in format AMSBIB
\by V.~A.~Shargatov, A.~P.~Chugainova, S.~V.~Gorkunov, S.~I.~Sumskoi
\paper Flow structure behind a~shock wave in a~channel with periodically arranged obstacles
\inbook Modern problems and methods in mechanics
\bookinfo Collected papers. On the occasion of the 110th anniversary of the birth of Academician Leonid Ivanovich Sedov
\serial Tr. Mat. Inst. Steklova
\publ MAIK Nauka/Interperiodica
\jour Proc. Steklov Inst. Math.
Citing articles on Google Scholar:
Related articles on Google Scholar:
|Number of views:|