The Effect of Wall Motions on the Governing Equations of Contained Fluids

[+] Author and Article Information
Roger Ohayon

Office National D’Études et de Recherches Aérospatiales, BP 72, 92322 Chalillon, France

Carlos A. Felippa

Department of Aerospace Engineering Sciences and Center for Space Structures and Controls, University of Colorado, Boulder, CO 80309-0429

J. Appl. Mech 57(3), 783-785 (Sep 01, 1990) (3 pages) doi:10.1115/1.2897093 History: Accepted November 08, 1988; Received November 08, 1988; Online March 31, 2008


The equations of motion for an acoustic fluid enclosed in a moving or flexible container are studied. It is shown that the determination of the reference state must account for the surface-integrated effect of the wall motions. The governing equation of transient motions about this state in the displacement potential does not generally reduce to the classical wave equation unless special adjustments are made. The results are relevant to finite elements formulations based on the displacement potential.

Copyright © 1990 by The American Society of Mechanical Engineers
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