On Three-Dimensional Nonlinear Subharmonic Resonant Surface Waves in a Fluid: Part I—Theory

[+] Author and Article Information
X. M. Gu, P. R. Sethna

Department of Aerospace Engineering and Mechanics, University of Minnesota, Minneapolis, MN 55455

A. Narain

Department of Mechanical Engineering, Michigan Technological University, Houghton, MI 49931

J. Appl. Mech 55(1), 213-219 (Mar 01, 1988) (7 pages) doi:10.1115/1.3173633 History: Received August 05, 1986; Revised July 25, 1987; Online July 21, 2009


Three-dimensional surface waves in a rectangular container subjected to vertical excitation are studied. The analysis includes the effects of surface tension, energy dissipation, and critical depth. Both steady state and transient phenomena are discussed.

Copyright © 1988 by ASME
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