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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
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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.

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

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References

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