 | | 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
(print version) |
Archive of Issues
| Total articles in the database: | | 10522 |
| In Russian (ÏÌÌ): | | 9723
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| In English (J. Appl. Math. Mech.): | | 799 |
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| O.B. Gus’kov, "The virtual mass of a sphere in a suspension of spherical particles," J. Appl. Math. Mech. 76 (1), 93-97 (2012) |
| Year |
2012 |
Volume |
76 |
Issue |
1 |
Pages |
93-97 |
| Title |
The virtual mass of a sphere in a suspension of spherical particles |
| Author(s) |
O.B. Gus’kov (Moscow, Russia, ogskv@mail.ru) |
| Abstract |
The problem of the virtual mass of a sphere, moving in an ideal incompressible fluid when there are other identical spherical particles of arbitrary mass present is considered. A solution is constructed for the velocity potential of the fluid in the form of the superposition of perturbation fields, introduced into the flow by each of the particles. The perturbation fields are obtained in the form of functional series, the coefficients of which are mutually consistent by a defined system of equations. An explicit expression is obtained for the hydrodynamic force acting on the sphere in the form of a function of the coordinates of all the particles. A simple analytical dependence of the mean value of the force and the virtual mass of the sphere on the particle-to-fluid density ratio in a first approximation of the volume fraction of the dispersed phase is obtained for a statistically uniform distribution of the dispersed particles in the suspension, using the procedure of averaging over their different possible configurations in space. |
| Received |
09 December 2010 |
| Link to Fulltext |
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