Advertisement

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

Buoyancy Force Momentum Flux Buoyancy Effect Matched Asymptotic Expansion Radial Velocity 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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    MOLLENDORF, J. C. and GEBHART, B.: Thermal buoyancy in round laminar vertical.jets. Int. J. Heat Mass Transfer 16(1973), 735–745.MATHCrossRefGoogle Scholar
  2. [2]
    SCHLICHTING, H.: Grenzschicht-Theorie, 5. Aufl., Braun 1965, pp. 210–214.MATHGoogle Scholar
  3. [3]
    ROSENHEAD, L. (Ed.): Laminar Boundary Layers. Clarendon Press, 1963, PP. 150–155.MATHGoogle Scholar
  4. [4]
    VAN DYKE, M.: Perturbation Methods in Fluid Mechanics. Annotated Ed., Parabolic Press, 1975.MATHGoogle Scholar
  5. [5]
    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

Personalised recommendations