ON WAKES IN STRATIFIED FLUIDS

The paper considers two-dimensional flow induced by a body moving with constant speed through a linearly stratified fluid. The solution shows a diffusive wake far upstream of the body. Less far upstream, a system of jets occurs; these jets become stronger and more narrow as the body is approached. A...

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Bibliographic Details
Main Author: Janowitz,Gerald S
Format: Report
Language:English
Subjects:
DIFFUSION
DRAG
Fluid Mechanics
FLUIDS
JET FLOW
MATHEMATICAL ANALYSIS
MOMENTUM
STRATIFICATION
TWO DIMENSIONAL FLOW
WAKE
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Summary:The paper considers two-dimensional flow induced by a body moving with constant speed through a linearly stratified fluid. The solution shows a diffusive wake far upstream of the body. Less far upstream, a system of jets occurs; these jets become stronger and more narrow as the body is approached. An increase in speed or diffusivity weakens these jets. We find at low speeds, low diffusivities, and moderate distances upstream of the body, that the velocity along the x-axis given by the exact solution is well approximated by the upstream asymptotic nondiffusive solution. Far downstream of the body, the solution shows a diffusive wake identical with the far upstream diffusive wake. In the downstream region nearer the body, at high speeds, a wake exists which is similar to the homogeneous wake. At low speeds in this downstream region near the body, the solution shows a pattern of waves decaying in the downstream direction.