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 

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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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