Hostname: page-component-cd9895bd7-jn8rn Total loading time: 0 Render date: 2024-12-18T22:24:37.802Z Has data issue: false hasContentIssue false
  • English
  • Français

Sink flow turbulent boundary layers

Published online by Cambridge University Press:  29 March 2006

B. E. Launder  and
W. P. Jones
B. E. Launder
Affiliation:
Department of Mechanical Engineering, Imperial College, London, S.W. 7
W. P. Jones
Affiliation:
Department of Mechanical Engineering, Imperial College, London, S.W. 7
Get access Rights & Permissions [Opens in a new window]

Abstract

The study of sink flow turbulent boundary layers is of particular relevance to the problem of laminarization. The reason lies in the fact that the acceleration parameter which principally determines when a turbulent boundary layer will begin to revert towards laminar is, in these flows, constant from station to station. The paper presents theoretical solutions to this class of boundary layer by making use of the Prandtl mixing-length formula to relate the turbulent shear stress to the mean velocity gradient. Near the wall the Van Driest recommendation for mixing length is adopted and the Van Driest function, A+, is chosen such that the skin friction coefficient does not exceed a certain maximum value.

The predicted solutions, which are in good agreement with available experimental data, display a plausible shift from the turbulent towards the laminar solution as the acceleration parameter is increased.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 38 , Issue 4 , 6 October 1969 , pp. 817 - 831
Copyright
© 1969 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Barcilon, V. & Pedlosky, J. 1967 J. Fluid Mech. 29, 1.
Grace, S. F. 1927 Proc. Roy. Soc. A, 113, 213.
Krishna, D. V. & Sarma, L. V. 1969a Oscillation of axisymmetric bodies in a stratified fluid. (To be published.)
Krishna, D. V. & Sarma, L. V. 1969b Stratified flow past a circular disk in a cylindrical tube. (To be published.)
Krishna, D. V. & Sarma, L. V. 1969c Motion of sphere in a stratified fluid. (To be published.)
Stewartson, K. 1967 J. Fluid Mech. 30, 357.
Taylor, G. I. 1923 Proc. Roy. Soc. A, 104, 213.
Yih, C. S. 1965 Dynamics of Non-homogeneous Fluids. New York: Macmillan.