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The drag of a body moving transversely in a confined stratified fluid

Published online by Cambridge University Press:  29 March 2006

M. R. Foster  and
P. G. Saffman
M. R. Foster
Affiliation:
California Institute of Technology Present address: Department of Aeronautical and Astronautical Engineering, The Ohio State University, Columbus, Ohio 43210.
P. G. Saffman
Affiliation:
California Institute of Technology
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Abstract

The slow motion of a body through a stratified fluid bounded laterally by insulating walls is studied for both large and small Peclet number. The Taylor column and its associated boundary and shear layers are very different from the analogous problem in a rotating fluid. In particular, the large Peclet number problem is non-linear and exhibits mixing of statically unstable fluid layers, and hence the drag is order one; whereas the small Peclet number flow is everywhere stable, and the drag is of the order of the Peclet number.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 43 , Issue 2 , 28 August 1970 , pp. 407 - 418
Copyright
© 1970 Cambridge University Press

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References

Foster, M. R. 1969 Ph.D. Thesis, California Institute of Technology.
Moore, D. W. & Saffman, P. G. 1968 J. Fluid Mech. 31, 3.
Moore, D. W. & Saffman, P. G. 1969 Phil. Trans. Roy. Soc. A 264, 597–634.
Veronis, G. 1967 Tellus, 19, 326.