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On potential energy density in an incompressible, stratified fluid

Published online by Cambridge University Press:  20 April 2006

Dennis Holliday  and
Michael E. Mcintyre
Dennis Holliday
Affiliation:
R & D Associates, P.O. Box 9695, Marina del Rey, California 90291
Michael E. Mcintyre
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, Cambridge CB3 9EW, England
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Abstract

Exact, positive definite expressions both in power series and in closed form are derived for the potential energy density in a continuously stratified incompressible fluid. They are useful for determining the energy of large displacements or mixing processes in regions of rapidly varying buoyancy frequency, such as a sharp pycnocline.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 107 , June 1981 , pp. 221 - 225
Copyright
© 1981 Cambridge University Press

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References

Andrews, D. G. 1981 A note on potential energy density in a stratified compressible fluid. J. Fluid Mech. 107, 227–236.Google Scholar
Lighthill, M. J. 1978 Waves in Fluids. Cambridge University Press.
Lorenz, E. N. 1955 Available potential energy and the maintenance of the general circulation. Tellus 7, 157–167.Google Scholar
McIntyre, M. E. 1981 Waves and Mean Flows (in preparation).
Turner, J. S. 1973 Buoyancy Effects in Fluids. Cambridge University Press.
Warn-Varnas, A., Piacsek, S. A., Hain, G. & Block, J. 1979 Numerical simulation of collapsing turbulent wakes. Naval Res. Lab., Washington, D.C., NRL Memo. Rep. 3930.
Yih, C.-S. 1965 Dynamics of Nonhomogeneous Fluids. London: Collier-Macmillan.