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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2014, Volume 55, Issue 6, Pages 97–106 (Mi pmtf1010)  
Migration of a granule in a rapidly oscillating inhomogeneous velocity field of a viscous fluid

I. V. Derevich

Bauman Moscow State Technical University, Moscow, 105005, Russia
Full-text PDF (269 kB)
Abstract: A closed system of equations for calculating the drift of an inertial heavy granule in an inhomogeneous velocity field of the carrier fluid is derived by the Krylov–Bogolyubov method of averaging over fast oscillations of velocity. Exact analytical solutions are presented and compared with the results of the numerical solution of the equations of granule motion. The influence of the granule inertia, acceleration of mass forces, and frequency of oscillations on the granule dynamics in an inhomogeneous oscillating velocity field of the fluid is studied.
Keywords: averaging over fast oscillations, migration, drift, granule inertia, frequency of oscillations.
Received: 08.11.2013
Revised: 13.01.2014
English version:
Journal of Applied Mechanics and Technical Physics, 2014, Volume 55, Issue 6, Pages 990–998
DOI: https://doi.org/10.1134/S0021894414060091
Bibliographic databases:
Document Type: Article
UDC: 532.529
Language: Russian
Citation: I. V. Derevich, “Migration of a granule in a rapidly oscillating inhomogeneous velocity field of a viscous fluid”, Prikl. Mekh. Tekh. Fiz., 55:6 (2014), 97–106; J. Appl. Mech. Tech. Phys., 55:6 (2014), 990–998
Citation in format AMSBIB
\Bibitem{Der14}
\by I.~V.~Derevich
\paper Migration of a granule in a rapidly oscillating inhomogeneous velocity field of a viscous fluid
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2014
\vol 55
\issue 6
\pages 97--106
\mathnet{http://mi.mathnet.ru/pmtf1010}
\elib{https://elibrary.ru/item.asp?id=22591835}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2014
\vol 55
\issue 6
\pages 990--998
\crossref{https://doi.org/10.1134/S0021894414060091}
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