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Journal of Engineering Mathematics

, Volume 8, Issue 1, pp 23–29 | Cite as

Fundamental singularities of viscous flow

Part I: The image systems in the vicinity of a stationary no-slip boundary
  • J. R. Blake
  • A. T. Chwang
Article

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).

Keywords

Mathematical Modeling Image System Industrial Mathematic Rotational Motion Normal Component 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Noordhoff International Publishing 1974

Authors and Affiliations

  • J. R. Blake
    • 1
  • A. T. Chwang
    • 1
  1. 1.Engineering Science DepartmentCalifornia Institute of TechnologyPasadena(U.S.A.)

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