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Tangential oscillations of a circular disk in a viscous stratified fluid

Published online by Cambridge University Press:  21 May 2010

ANTHONY M. J. DAVIS  and
STEFAN G. LLEWELLYN SMITH
ANTHONY M. J. DAVIS
Affiliation:
Department of Mechanical and Aerospace Engineering, Jacobs School of Engineering, UCSD, 9500 Gilman Drive, La Jolla, CA 92093-0411, USA
STEFAN G. LLEWELLYN SMITH*
Affiliation:
Department of Mechanical and Aerospace Engineering, Jacobs School of Engineering, UCSD, 9500 Gilman Drive, La Jolla, CA 92093-0411, USA
*
†Email address for correspondence: sgls@ucsd.edu
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Abstract

A complete solution is obtained for the wave field generated by the time-harmonic edgewise oscillations of a horizontal circular disk in an incompressible stratified viscous fluid. The linearized equations of viscous internal waves and the no-slip condition on the rigid disk are used to derive sets of dual integral equations for the fluid velocity and vorticity. The dual integral equations are solved by analytic reduction to sets of linear algebraic equations. Asymptotic results confirm that this edgewise motion no longer excites waves in the small-viscosity limit. Broadside oscillations and the effect of density diffusion are also considered.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 656 , 10 August 2010 , pp. 342 - 359
Copyright
Copyright © Cambridge University Press 2010

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