Hostname: page-component-76d6cb85b7-pn7tm Total loading time: 0 Render date: 2026-07-16T00:16:40.999Z Has data issue: false hasContentIssue false
  • English
  • Français

Viscous stratified flow towards a sink

Published online by Cambridge University Press:  28 March 2006

Robert C. Y. Koh
Robert C. Y. Koh
Affiliation:
W. M. Keck Laboratory of Hydraulics and Water Resources, California Institute of Technology
Get access Rights & Permissions [Opens in a new window]

Abstract

In this paper the viscous, slightly stratified flow towards a sink is investigated. The fluid is assumed incompressible, linearly stratified in density, and the flow steady. The theoretical portion of this paper includes both the two-dimensional and the axisymmetric cases, whereas the experimental portion includes only the two-dimensional case. The solutions obtained indicate that there exists a with-drawal layer symmetrically situated about the horizontal plane of the sink. The flow occurs in this layer while outside this layer there is essentially no motion. This withdrawal layer grows in thickness with the distance x (or r) from the sink at a rate proportional to $x^{\frac{1}{3}}$ (or $r^{\frac{1}{3}}$). The velocity distributions u(y) (or u(z)) are similar from one station x (or r) to another.

Information

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 24 , Issue 3 , March 1966 , pp. 555 - 575
Copyright
© 1966 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.)

Article purchase

Temporarily unavailable

References

Debler, W. R. 1959 Stratified flow into a line sink. Proc. Am. Soc. Civ. Engrs., J. Engrng Mech. Div., no. EM 3, 85, 51–65.Google Scholar
Gariel, P. 1949 Experimental research on the flow of non-homogeneous fluids. La Houille Blanche, pp. 56–64.Google Scholar
Kao, T. W. 1963 The phenomenon of blocking in stratified flow. Ph.D. thesis, University of Michigan.
Koh, R. C. Y. 1964 Viscous stratified flow towards a line sink. Ph.D. thesis, California Institute of Technology.
Long, R. R. 1962 Velocity concentrations in stratified fluids. Proc. Am. Soc. Civ. Engrs., J. Hydr. Div., no. HY 1, 88, 9–26.Google Scholar
Yih, C. S. 1958 On the flow of a stratified fluid. Proc. Third Nat. Congr. Appl. Mech.Google Scholar