An exact solution of a linearized problem of the radiation of monochromatic internal waves in a viscous fluid

✍ Scribed by Yu.V. Kistovich; Yu.D. Chashechkin

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 567 KB
• Volume: 63
• Category: Article
• ISSN: 0021-8928
• DOI: 10.1016/s0021-8928(99)00073-8

✦ Synopsis

The eigenvalue method is used to construct an exact solution of the linearized boundary-value problem of the generation of internal waves in an exponentially stratified fluid, when the source is part of a plan which vibrates along its surface. The spatial structure of the solution obtained describes two well-known types of wave beams--unimodal and bimodal. In the limiting cases the phase pattern of the waves is identical with well-known asymptotic forms and laboratory experiments. The exact solution is compared with the solution of the model problem of the generation of waves by force sources, constructed using homogeneous fluid theory. The phase patterns of the waves in both cases agree everywhere with the exception of critical angles, when the wave propagates along the radiating surface. The amplitudes of the radiated waves are the same only for certain ratios of the angles of inclination of the plane and the direction of propagation of the beams.