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Line singularities in unbounded stratified flow

Published online by Cambridge University Press:  29 March 2006

G. S. Janowitz
G. S. Janowitz
Affiliation:
Department of Fluid, Thermal and Aerospace Sciences, Case Western Reserve University, Cleveland, Ohio
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Abstract

We obtain the solutions, under the Oseen and Boussinesq approximations, for the flow field disturbance due to a line singularity in an otherwise uniform, horizontal, inviscid, incompressible flow of a vertically stratified fluid. The results obtained show no upstream influence for those singularities across which [xdtri ]2ψ + (N/U)2ψ is continuous. Doublet and vortex singularities are examples of these. Uniform flows past doublets and vortices are considered for a range of internal Froude numbers, including the calculation of the pressure distributions and drag for the doublet. An application of the vortex solution to flows in the β-plane is discussed.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 66 , Issue 3 , 25 November 1974 , pp. 455 - 464
Copyright
© 1974 Cambridge University Press

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References

Erdélyi, A., Magnus, W., Oberhettinger, F. & Tricomi, F. G. 1954 Tables of Integral Transforms, vol. 1. McGraw-Hill.
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Long, R. R. 1953 Tellus, 5, 42.
Miles, J. W. 1968 J. Fluid Mech. 33, 803.
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