
Accession Number : AD0673511
Title : EULERLAGRANGE RELATIONSHIP FOR RANDOM DISPERSIVE WAVES,
Corporate Author : PENNSYLVANIA STATE UNIV UNIVERSITY PARK IONOSPHERE RESEARCH LAB
Personal Author(s) : Hoult,D. P.
Report Date : 01 APR 1968
Pagination or Media Count : 27
Abstract : It is shown that the equations for the motion of a tagged fluid particle in a random wave field define a singular perturbation problem, characterized by a nonuniformity at large times. The uniformly valid asymptotic expansion to this problem, the EulerLagrange relationship for random dispersive waves, is obtained. As an application of these general results, an integral representation of the solution is worked out for the case of vertically propagating random acoustic waves in an isothermal atmosphere. It is shown that the nonuniformity of mediums leads to a wave generated diffusion process. The time and length scales over which the process is diffusive are determined, and a formula for the diffusion coefficient is presented. (Author)
Descriptors : (*ATMOSPHERIC MOTION, WAVE PROPAGATION), (*UPPER ATMOSPHERE, DIFFUSION), TURBULENCE, CONDENSATION TRAILS, SODIUM, ACOUSTIC SIGNALS, ATMOSPHERIC SOUNDING, PERTURBATION THEORY, ASYMPTOTIC SERIES, EQUATIONS OF MOTION
Subject Categories : Atmospheric Physics
Fluid Mechanics
Distribution Statement : APPROVED FOR PUBLIC RELEASE