Research output: Contribution to journal › Conference article › peer-review
Acoustic waves in monodisperse and polydisperse gas-dust mixtures with intense momentum transfer between phases. / Markelova, T.; Stoyanovskaya, O.; Arendarenko, M. et al.
In: Journal of Physics: Conference Series, Vol. 1666, No. 1, 012050, 20.11.2020.Research output: Contribution to journal › Conference article › peer-review
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TY - JOUR
T1 - Acoustic waves in monodisperse and polydisperse gas-dust mixtures with intense momentum transfer between phases
AU - Markelova, T.
AU - Stoyanovskaya, O.
AU - Arendarenko, M.
AU - Isaenko, E.
AU - Snytnikov, V.
N1 - Publisher Copyright: © Published under licence by IOP Publishing Ltd. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2020/11/20
Y1 - 2020/11/20
N2 - The paper presents one-dimensional problems of dusty gas dynamics on plane acoustic wave propagation. In the fist problem the dusty gas is considered as polydisperse medium with a zero-volume dust fraction. In the second problem the dusty gas is a monodisperse medium with particles that occupy finite volume. For both problems, dispersion relations are obtained. Then a limiting case when a velocity relaxation time between particles and gas tends to zero is considered. This case corresponds to mixtures with fine dust when intense interaction between phases takes place. For this limiting case expressions for the phase velocity are derived. Moreover, we present formulas for generating particular solutions of corresponding linearized problems. These solutions are intended to be used as a standard in the study of asymptotic, dispersive and dissipative properties of numerical methods. Program codes for generating such solutions are published and available for download.
AB - The paper presents one-dimensional problems of dusty gas dynamics on plane acoustic wave propagation. In the fist problem the dusty gas is considered as polydisperse medium with a zero-volume dust fraction. In the second problem the dusty gas is a monodisperse medium with particles that occupy finite volume. For both problems, dispersion relations are obtained. Then a limiting case when a velocity relaxation time between particles and gas tends to zero is considered. This case corresponds to mixtures with fine dust when intense interaction between phases takes place. For this limiting case expressions for the phase velocity are derived. Moreover, we present formulas for generating particular solutions of corresponding linearized problems. These solutions are intended to be used as a standard in the study of asymptotic, dispersive and dissipative properties of numerical methods. Program codes for generating such solutions are published and available for download.
UR - http://www.scopus.com/inward/record.url?scp=85097049519&partnerID=8YFLogxK
U2 - 10.1088/1742-6596/1666/1/012050
DO - 10.1088/1742-6596/1666/1/012050
M3 - Conference article
AN - SCOPUS:85097049519
VL - 1666
JO - Journal of Physics: Conference Series
JF - Journal of Physics: Conference Series
SN - 1742-6588
IS - 1
M1 - 012050
T2 - 9th International Conference on Lavrentyev Readings on Mathematics, Mechanics and Physics
Y2 - 7 September 2020 through 11 September 2020
ER -
ID: 26201165