Journal of Applied Mathematics and Mechanics (about journal) Journal of Applied
Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
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IssuesArchive of Issues2017-4pp.325-333

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O.B. Gus'kov, "On the virtual mass of a rough sphere," J. Appl. Math. Mech. 81 (4), 325-333 (2017)
Year 2017 Volume 81 Issue 4 Pages 325-333
DOI 10.1016/j.jappmathmech.2017.12.006
Title On the virtual mass of a rough sphere
Author(s) O.B. Gus'kov (Institute of Applied Mechanics, Russian Academy of Sciences, Moscow, Russia, ogskv@mail.ru)
Abstract Within the framework of the model of granular roughness formed by a large number of small grains distributed over the surface of a sphere, the accelerated combined motion of the sphere and the spherical grains attached to its surface in a resting ideal fluid is considered. Using the self-consistent field method, an expression is obtained for the virtual mass of the rough sphere as a function of the size of the grains and their distribution over the sphere surface. For a statistically uniform distribution of the grains over the sphere surface, the dependence of the mean value of the virtual mass of the rough sphere on the grain size is determined in the first approximation in their volume fraction.
Received 07 April 2016
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