Abstract:
Based on the previously formulated mathematical model of mechanics of a two-velocity two-temperature mixture of gases, the evolution of an initially disturbed mixing layer of two gases with different densities under the action of shock waves is considered in a two-dimensional unsteady approximation. Problems of interaction of shock waves with a sinusoidally disturbed diffuse layer are solved numerically. The predicted variation of the mixing-region width are in satisfactory agreement with experimental data.
Keywords:
shock wave, mixing layer, Richtmyer–Meshkov instability, two-velocity two-temperature gas dynamics of mixtures.
Citation:
G. A. Ruev, A. V. Fedorov, V. M. Fomin, “Development of the Richtmyer–Meshkov instability upon interaction of a diffusion mixing layer of two gases with shock waves”, Prikl. Mekh. Tekh. Fiz., 46:3 (2005), 3–11; J. Appl. Mech. Tech. Phys., 46:3 (2005), 307–314
\Bibitem{RueFedFom05}
\by G.~A.~Ruev, A.~V.~Fedorov, V.~M.~Fomin
\paper Development of the Richtmyer--Meshkov instability upon interaction of a diffusion mixing layer of two gases with shock waves
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2005
\vol 46
\issue 3
\pages 3--11
\mathnet{http://mi.mathnet.ru/pmtf2259}
\elib{https://elibrary.ru/item.asp?id=15175923}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2005
\vol 46
\issue 3
\pages 307--314
\crossref{https://doi.org/10.1007/s10808-005-0079-4}
Linking options:
https://www.mathnet.ru/eng/pmtf2259
https://www.mathnet.ru/eng/pmtf/v46/i3/p3
This publication is cited in the following 10 articles:
Rui Wang, Yang Song, Zongqiang Ma, Dongjun Ma, Lili Wang, Pei Wang, “The transition to turbulence in rarefaction-driven Rayleigh–Taylor mixing: Effects of diffuse interface”, Physics of Fluids, 34:1 (2022)
Alexander Zlotnik, Anna Fedchenko, Timofey Lomonosov, “Entropy Correct Spatial Discretizations for 1D Regularized Systems of Equations for Gas Mixture Dynamics”, Symmetry, 14:10 (2022), 2171
A. N. Kudryavtsev, D. B. Epstein, HIGH-ENERGY PROCESSES IN CONDENSED MATTER (HEPCM 2019): Proceedings of the XXVI Conference on High-Energy Processes in Condensed Matter, dedicated to the 150th anniversary of the birth of S.A. Chaplygin, 2125, HIGH-ENERGY PROCESSES IN CONDENSED MATTER (HEPCM 2019): Proceedings of the XXVI Conference on High-Energy Processes in Condensed Matter, dedicated to the 150th anniversary of the birth of S.A. Chaplygin, 2019, 020010
K I Zyryanov, G A Ruev, “The development of instability of Richtmyer–Meshkov in the interaction of a shock wave with a two-component medium consisting of light and heavy gas”, J. Phys.: Conf. Ser., 1382:1 (2019), 012050
A V Kashkovsky, A N Kudryavtsev, A A Shershnev, “Direct Monte Carlo simulation of development of the Richtmyer-Meshkov instability on the Ar/He interface”, J. Phys.: Conf. Ser., 1404:1 (2019), 012109
K. I. Zyryanov, G. A. Ruev, A. V. Fedorov, AIP Conference Proceedings, 1939, 2018, 020043
Ye Zhou, “Rayleigh–Taylor and Richtmyer–Meshkov instability induced flow, turbulence, and mixing. I”, Physics Reports, 720-722 (2017), 1
G. A. Ruev, A. V. Fedorov, V. M. Fomin, “Development of the Richtmyer–Meshkov instability during interaction of the diffusion mixing layer of two gases with transient and reflected shock waves”, J. Appl. Mech. Tech. Phys., 51:3 (2010), 308–316
G. A. Ruev, A. V. Fedorov, V. M. Fomin, “Description of the anomalous Rayleigh–Taylor instability on the basis of the model of dynamics of a three-velocity three-temperature mixture”, J. Appl. Mech. Tech. Phys., 50:1 (2009), 49–57
G. A. Ruev, A. V. Fedorov, V. M. Fomin, “Development of the Rayleigh–Taylor instability due to interaction of a diffusion mixing layer of two gases with compression waves”, Shock Waves, 16:1 (2006), 65