A general solution of unsteady Stokes equations

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© 2004 The Japan Society of Fluid Mechanics and IOP Publishing Ltd
, , Citation A Venkatalaxmi et al 2004 Fluid Dyn. Res. 35 229 DOI 10.1016/j.fluiddyn.2004.06.001

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1 Department of Mathematics and Statistics, University of Hyderabad, Hyderabad 500 046, India

2 Corresponding author

Dates

  1. Received 9 April 2003
  2. Accepted 1 June 2004

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1873-7005/35/3/229

Abstract

A general solution of unsteady Stokes equations is suggested and its completeness is proved. A simple method of solution for the problem of an arbitrary unsteady Stokes flow in the presence of a sphere is discussed. Some physical properties like drag and torque experienced by the sphere are given and compared with some earlier known results.

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10.1016/j.fluiddyn.2004.06.001