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Meccanica
Published in: Meccanica 8/2012

01-11-2012

A general formula for the drag on a sphere placed in a creeping unsteady micropolar fluid flow

Author: E. A. Ashmawy

Published in: Meccanica | Issue 8/2012

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Abstract

In the present work, we investigate the creeping unsteady motion of an infinite micropolar fluid flow past a fixed sphere. The technique of Laplace transform is used. The drag formula is obtained in the physical domain analytically by using the complex inversion formula of the Laplace transform. The well known formula of Basset for the drag on a sphere placed in an unsteady viscous fluid flow and that of Ramkissoon and Majumdar for steady motion in the case of micropolar fluids are recovered as special cases. The obtained formula is employed to calculate the drag force for some micropolar fluid flows. Numerical results are obtained and represented graphically.
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Metadata
Title
A general formula for the drag on a sphere placed in a creeping unsteady micropolar fluid flow
Author
E. A. Ashmawy
Publication date
01-11-2012
Publisher
Springer Netherlands
Published in
Meccanica / Issue 8/2012
Print ISSN: 0025-6455
Electronic ISSN: 1572-9648
DOI
https://doi.org/10.1007/s11012-012-9562-1

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