Generation of beams of three-dimensional periodic internal waves by sources of various types

A. Yu. Vasil'ev, Yu. D. Chashechkin

Institute of Problems of Mechanics, Russian Academy of Sciences, Moscow, 119526

Abstract: The energy and force characteristics of periodic internal wave beams in a viscous exponentially stratified fluid are analyzed. The exact solutions of linearized problems of generation obtained by integral transformations describe not only three-dimensional internal waves but also the associated boundary layers of two types. The solutions not containing empirical parameters are brought to a form that allows a direct comparison with experimental data for generators of various types (friction, piston, and combined) of rectangular or elliptic shape. The stress tensor and force components acting on the generator are given in quadratures. In the limiting cases, the solutions are uniformly transformed to the corresponding expressions for the problems in a two-dimensional formulation.

Keywords: stratified fluid, internal waves, analytical methods, exact solution, Stokes and internal boundary layers.

UDC: 551.466.81:534.1

Received: 15.02.2005
Accepted: 18.08.2005