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Axisymmetric withdrawal and inflow in a density-stratified container

Published online by Cambridge University Press:  21 April 2006

G. N. Ivey  and
S. Blake
G. N. Ivey
Affiliation:
Research School of Earth Sciences, Australian National University, GPO Box 4, Canberra, A.C.T. 2601
S. Blake
Affiliation:
Research School of Earth Sciences, Australian National University, GPO Box 4, Canberra, A.C.T. 2601
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Abstract

The axisymmetric withdrawal of fluid from a linearly stratified container is studied over the full parameter range. When only buoyancy and inertia are important the flow in the withdrawal layer is influenced by a virtual control point and is not analogous to that observed in the two-dimensional withdrawal problem. Two further flow regimes are shown to exist in which viscous forces are important: one in which convection of species is important, and a second in which diffusion of species is important. Theoretical arguments and laboratory experiments are used to show that $S = (Q^2N/\nu^3)^{\frac{1}{15}}$ is the appropriate flow parameter to differentiate between these possibilities. It is also argued that these results may be generalized to describe the features of several related flows: axisymmetric drawdown (or drawup) in withdrawal from a layered density structure, axisymmetric inflow into a linearly stratified environment and the axisymmetric spreading of density currents.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 161 , December 1985 , pp. 115 - 137
Copyright
© 1985 Cambridge University Press

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