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Axisymmetric withdrawal and inflow in a density-stratified container. (English) Zbl 0585.76171
Summary: 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 $$S=(Q^ 2N/v^ 3)^{1/15}$$ 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.

##### MSC:
 76V05 Reaction effects in flows 76R99 Diffusion and convection 76M99 Basic methods in fluid mechanics
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##### References:
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