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Secondary Flows in Pipes

  • C. Truesdell

Abstract

In Lecture 10 we have seen that steady rectilinear flow down a straight pipe is possible for a general incompressible fluid only for certain exceptional cross-sections, and for all cross-sections only for certain exceptional fluids. Both the Navier-Stokes fluid and the fluid of second grade are exceptional in this sense, since their viscometric functions satisfy the special relation (10.21). If a general fluid is forced by a pressure gradient down a pipe bounded by a cylindrical surface that is neither a pair of parallel planes nor a pair of coaxial circular cylinders, we expect that a steady flow be set up, but it cannot be rectilinear. The component of velocity normal to the generation of the cylindrical boundary is called a secondary flow.

Keywords

Secondary Flow Fourth Grade Straight Pipe General Fluid Viscometric Flow 
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

© Springer-Verlag New York Inc. 1966

Authors and Affiliations

  • C. Truesdell
    • 1
  1. 1.The Johns Hopkins UniversityUSA

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