The Near-Field Disturbance Created by a Body in a Stratified Medium With a Free Surface

[+] Author and Article Information
J. W. Murdock

The Aerospace Corporation, El Segundo, Calif.

J. Appl. Mech 44(4), 534-540 (Dec 01, 1977) (7 pages) doi:10.1115/1.3424131 History: Received April 01, 1977; Online July 12, 2010


The inviscid equations of motion for a slender body in a stratified fluid are formulated in a way which illustrates the relationship between the vorticity in the flow and the internal wave behavior. This formulation makes it clear that the problem admits a singular perturbation expansion of the solution if the density variation is small (large Vaisala length). Analytic solutions valid in the near field are obtained for the case of a finite-thickness constant thermocline. The slender body approximation is found to be invalid near the body; the use of this approximation results in a singularity behind the body which extends to infinity. The reason for the appearance of the singularity is given, and a technique for eliminating it is outlined. The effect of the singularity on the solution at the surface is found to be small. Typical behavior of the near-field surface current is presented in graphical form. The near-field surface disturbance is found to result primarily from the basic body potential flow field with corrections made as a result of the stratification.

Copyright © 1977 by ASME
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