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On the flow past a sphere at low Reynolds number

Published online by Cambridge University Press:  29 March 2006

W. Chester ,
D. R. Breach  and
Ian Proudman
W. Chester
Affiliation:
University of Bristol
D. R. Breach
Affiliation:
University of Toronto
Ian Proudman
Affiliation:
University of Essex
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Abstract

The flow of an incompressible, viscous fluid past a sphere is considered for small values of the Reynolds number. In particular the drag is found to be given by \[ D = D_s\{1+{\textstyle\frac{3}{8}}R+{\textstyle\frac{9}{40}}R^2(\log R+\gamma + {\textstyle\frac{5}{3}}\log 2 - {\textstyle\frac{323}{360}})+{\textstyle\frac{27}{80}}R^3\log R+O(R^3)\}, \] where Ds is the Stokes drag, R is the Reynolds number and γ is Euler's constant.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 37 , Issue 4 , 28 July 1969 , pp. 751 - 760
Copyright
© 1969 Cambridge University Press

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References

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Stokes, G. G. 1851 Camb. Phil. Trans. 9, 8.Google Scholar