Abstract:
This paper presents a numerical simulation procedure for the dynamics of a monodisperse gas-particle mixture in the nonlinear wave field of an acoustic resonator using a two-temperature two-velocity model ignoring phase transitions, particle collision, and possible coagulation. It is assumed that viscosity is present only in the carrier medium described by the Navier-Stokes equations for a compressible gas. The dispersed phase is described by the equation of conservation of mass, momentum, and energy. A monotonic solution is obtained by solving the equations of motion for the carrier medium and dispersed phase in generalized moving coordinates using the explicit McCormack method with splitting in the spatial directions and a conservative correction scheme. The method can be used to study nonlinear oscillations of two-phase mixtures in the vicinity of the first three eigenfrequencies in a flat channel.
Keywords:
acoustic resonator, gas-particle mixture, Navier–Stokes equations, explicit MacCormack scheme, nonlinear and discontinuous oscillations, nodes and antinodes of the standing wave velocity.
Citation:
A. L. Tukmakov, “Numerical simulation of oscillations of a monodisperse gas-particle mixture in a nonlinear wave field”, Prikl. Mekh. Tekh. Fiz., 52:2 (2011), 36–43; J. Appl. Mech. Tech. Phys., 52:2 (2011), 186–192
\Bibitem{Tuk11}
\by A.~L.~Tukmakov
\paper Numerical simulation of oscillations of a monodisperse gas-particle mixture in a nonlinear wave field
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2011
\vol 52
\issue 2
\pages 36--43
\mathnet{http://mi.mathnet.ru/pmtf1458}
\elib{https://elibrary.ru/item.asp?id=16227877}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2011
\vol 52
\issue 2
\pages 186--192
\crossref{https://doi.org/10.1134/S0021894411020040}
Linking options:
https://www.mathnet.ru/eng/pmtf1458
https://www.mathnet.ru/eng/pmtf/v52/i2/p36
This publication is cited in the following 11 articles:
P. P. Osipov, R. R. Nasyrov, “DINAMIKA VYaZKOGO GAZA V ZAKRYTOI UZKOI TRUBE PRI GARMONIChESKIKh KOLEBANIYaKh PORShNYa”, Izvestiya Rossiiskoi akademii nauk. Mekhanika zhidkosti i gaza, 2023, no. 6, 22
P. P. Osipov, R. R. Nasyrov, “Dynamics of a Viscous Gas in a Closed Narrow Pipe under Harmonic Oscillations of a Piston”, Fluid Dyn, 58:6 (2023), 988
D. A. Gubaidullin, R. G. Zaripov, P. P. Osipov, L. A. Tkachenko, L. R. Shaidullin, High Temperature, 59:3 (2021), –
Anisimova Irina V., Ignatev Victor N., 2018 International Multi-Conference on Industrial Engineering and Modern Technologies (FarEastCon), 2018, 1
Dinar Zaripov, “Numerical study of steady-state acoustic oscillations in semi-closed straight channel”, J Hydrodyn, 30:6 (2018), 1093
D A Tukmakov, N A Tukmakova, “The mathematical model of dynamics of dust plasma considering polydisperse structure of the condensed phase”, J. Phys.: Conf. Ser., 789 (2017), 012066
D. I. Zaripov, N. I. Mikheev, “The aspects of the numerical modeling of acoustic oscillations of the pressure at large time scales”, Thermophys. Aeromech., 24:5 (2017), 683
R. I. Nigmatulin, D. A. Gubaidullin, D. A. Tukmakov, “Shock wave dispersion of gas–particle mixtures”, Dokl. Phys., 61:2 (2016), 70
R. I. Bayanov, A. L. Tukmakov, “Numerical Description of Acoustic Vibrations of a Vapor–Gas–Droplet Mixture in a Closed Channel Based on a One-Velocity, One-Temperature Model”, J Eng Phys Thermophy, 88:3 (2015), 587
A.L. Tukmakov, R.I. Bayanov, D.A. Tukmakov, “Flow of polydisperse gas-particle mixture in a duct followed by coagulation in a nonlinear wave field”, Thermophys. Aeromech., 22:3 (2015), 305
D. A. Gubaidullin, D. A. Tukmakov, “Numerical research of evolution of the shock wave in gas-particles suspension with account uneven distribution of particles”, Math. Models Comput. Simul., 7:3 (2015), 246–253
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