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Fundamental singularities of viscous flow

Part I: The image systems in the vicinity of a stationary no-slip boundary

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Summary

The image system for the fundamental singularities of viscous (including potential) flow are obtained in the vicinity of an infinite stationary no-slip plane boundary. The image system for a: stokeslet, the fundamental singularity of Stokes flow; rotlet (also called a stresslet), the fundamental singularity of rotational motion; a source, the fundamental singularity of potential flow and also the image system for a source-doublet are discussed in terms of illustrative diagrams. Their far-fields are obtained and interpreted in terms of singularities. Both the stokeslet and rotlet have similar far field characteristics: for force or rotational components parallel to the wall a far-field of a stresslet typeO(r −2) is obtained, whereas normal components are of higher orderO(r −3).

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Authors and Affiliations

  1. Engineering Science Department, California Institute of Technology, Pasadena, California, (U.S.A.)

    J. R. Blake & A. T. Chwang

Authors
  1. J. R. Blake
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  2. A. T. Chwang
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Blake, J.R., Chwang, A.T. Fundamental singularities of viscous flow. J Eng Math 8, 23–29 (1974). https://doi.org/10.1007/BF02353701

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  • DOI: https://doi.org/10.1007/BF02353701

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