Abstract:
Interaction of a shock wave with a system of motionless or relaxing particles is numerically simulated. Regimes of the gas flow around these particles are described, and the influence of the initial parameters of the examined phenomenon on the flow pattern is analyzed. The drag coefficient of particles is calculated as a function of the Mach number behind the shock wave at a fixed Reynolds number. The dynamics of heat exchange for particles of different sizes (10 μμm–1 mm) is determined, and the laws of thermal relaxation after passing of a shock wave over the system of particles are found. The times of thermal and velocity relaxation of particles are estimated as functions of the Reynolds number, and the predicted relaxation time is compared with the corresponding empirical dependences.
Keywords:
shock waves, thermal and velocity relaxation of particles, numerical simulations.
Citation:
I. A. Bedarev, A. V. Fedorov, “Computation of wave interference and relaxation of particles after passing of a shock wave”, Prikl. Mekh. Tekh. Fiz., 56:5 (2015), 18–29; J. Appl. Mech. Tech. Phys., 56:5 (2015), 750–760
\Bibitem{BedFed15}
\by I.~A.~Bedarev, A.~V.~Fedorov
\paper Computation of wave interference and relaxation of particles after passing of a shock wave
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2015
\vol 56
\issue 5
\pages 18--29
\mathnet{http://mi.mathnet.ru/pmtf895}
\crossref{https://doi.org/10.15372/PMTF20150502}
\elib{https://elibrary.ru/item.asp?id=25454193}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2015
\vol 56
\issue 5
\pages 750--760
\crossref{https://doi.org/10.1134/S0021894415050028}
Linking options:
https://www.mathnet.ru/eng/pmtf895
https://www.mathnet.ru/eng/pmtf/v56/i5/p18
This publication is cited in the following 10 articles:
Konstantin Volkov, “Interaction of a Dense Layer of Solid Particles with a Shock Wave Propagating in a Tube”, Aerospace, 11:10 (2024), 850
Shun Takahashi, Takayuki Nagata, Yusuke Mizuno, Taku Nonomura, Shigeru Obayashi, “Effect of particle arrangement and density on aerodynamic interference between twin particles interacting with a plane shock wave”, Physics of Fluids, 34:11 (2022)
P. S. Utkin, D. A. Sidorenko, V. M. Boiko, “Dynamics of motion of a pair of particles in a supersonic flow”, Shock Waves, 31:6 (2021), 571
D. Sidorenko, P. Utkin, 31st International Symposium on Shock Waves 2, 2019, 657
I A Bedarev, D A Slastnaya, V M Temerbekov, “Calculation of the drag coefficient of micro and nanoparticles”, J. Phys.: Conf. Ser., 1404:1 (2019), 012004
D. A. Sidorenko, P. S. Utkin, “Two-dimensional gas dynamics modeling of the relaxation of particles behind the transmitted shock wave”, AIP Conf. Proc., 2027 (2018), 30058–6
D. A. Sidorenko, P. S. Utkin, “Two-dimensional gas dynamic modeling of the interaction of a shock wave with beds of granular media”, Rus. J. Physic. Chemistry B, 12:5 (2018), 869–874
I. A. Bedarev, A. V. Fedorov, AIP Conference Proceedings, 1939, 2018, 020004
I. A. Bedarev, A. V. Fedorov, AIP Conference Proceedings, 1770, 2016, 030072
I. A. Bedarev, A. V. Fedorov, “Modeling the dynamics of several particles behind a propagating shock wave”, Tech. Phys. Lett., 43:1 (2017), 1–4