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Slow viscous flow of an incompressible stratified fluid past a sphere

Published online by Cambridge University Press:  29 March 2006

R. S. Chadwick  and
Y. Zvirin
R. S. Chadwick
Affiliation:
Faculty of Mechanical Engineering, Israel Institute of Technology, Haifa
Y. Zvirin
Affiliation:
Faculty of Mechanical Engineering, Israel Institute of Technology, Haifa
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Abstract

The steady, uniform, horizontal flow of a vertically stratified, non-diffusive fluid over a sphere is considered. A correction to the Stokes drag formula is obtained which is valid for small values of a stratification parameter α, Re [Lt ] |α| 1/3 and Fr2 [Lt ] |α|−1/3. To the order of the calculations, the sphere has no tendency to rotate, nor does it experience a lift force.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 66 , Issue 2 , 6 November 1974 , pp. 377 - 383
Copyright
© 1974 Cambridge University Press

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References

Chang, I.-D. 1960 Stokes flow of a conducting fluid past an axially symmetric body in the presence of a uniform magnetic field J. Fluid Mech. 9, 473.Google Scholar
Childress, S. 1964 The slow motion of a sphere in a rotating viscous fluid J. Fluid Mech. 20, 305.Google Scholar
Gradshteyn, I. S. & Ryzhik, I. M. 1965 Tables of Integrals, Series, and Products, pp. 389, 849. Academic.
Graebel, W. P. 1969 On the slow motion of bodies in stratified and rotating liquids Quart. J. Mech. Appl. Math. 22, 39.Google Scholar
Happel, J. & Brenner, H. 1965 Low Reynolds Number Hydrodynamics. Prentice-Hall.
Janowitz, G. S. 1971 The slow transverse motion of a flat plate through a non-diffusive stratified fluid J. Fluid Mech. 47, 171.Google Scholar
Martin, S. & Long, R. R. 1968 The slow motion of a flat plate in a stratified fluid J. Fluid Mech. 31, 669.Google Scholar
Van Dyke, M. 1964 Perturbation Methods in Fluid Mechanics, p. 153. Academic.