Weak Buoyancy in Laminar Vertical Jets

  • W. Schneider
  • K. Potsch

Abstract

The paper is concerned with the influence of weak buoyancy forces on the velocity and temperature distributions of a laminar, vertical and axisymmetric get. It is shown that a regular perturbation method as carried out by Mollendorf and Gebhart ceases to be valid in a certain, outer region of the jet if Pr < 3/2, and that it breaks down entirely if Pr ≦ 1/2. A uniformly valid first approximation is obtained by the method of matched asymptotic expansions for the case 1/2 < Pr < 3/2.

Keywords

Convection 

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References

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    MOLLENDORF, J. C. and GEBHART, B.: Thermal buoyancy in round laminar vertical.jets. Int. J. Heat Mass Transfer 16(1973), 735–745.MATHCrossRefGoogle Scholar
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    ROSENHEAD, L. (Ed.): Laminar Boundary Layers. Clarendon Press, 1963, PP. 150–155.MATHGoogle Scholar
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    VAN DYKE, M.: Perturbation Methods in Fluid Mechanics. Annotated Ed., Parabolic Press, 1975.MATHGoogle Scholar
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    SCHNEIDER, W.: Mathematische Methoden der Strömungsmechanik. Vieweg, 1978.MATHGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1979

Authors and Affiliations

  • W. Schneider
  • K. Potsch

There are no affiliations available

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