One of the earliest exact solutions of the well-known Navier-Stokes equation was given by Stokes (1) in the case of the flow past an impulsively started infinite plate. In the literature, it is known as Rayleigh’s problem. Because of its practical importance, the problem has received the attention of many research workers who solved it in case of the impulsively started bodies of different shapes. These studies are confined to Newtonian fluids.


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  1. 1).
    Stokes, G. G., Camb. Phil. Trans 9, 8 (1851).ADSGoogle Scholar
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    Walters, K., IUTAM Int. Symp. on Second Order Effects in Elasticity, Plasticity and Fluid Dynamics, p. 507 (Eds. M. Reiner and D. Abir) (New York 1964).Google Scholar
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    Walters, K., J. Mechanique 1, 474 (1964).Google Scholar
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    Beard, D. W. and Walters, K., Proc. Camb. Phil. Soc. 60, 667 (1964).ADSCrossRefzbMATHMathSciNetGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1975

Authors and Affiliations

  • V. M. Soundalgekar
    • 1
  1. 1.Department of MathematicsIndian Institute of TechnologyPowai, BombayIndia

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