Accession Number:

AD0673511

Title:

EULER-LAGRANGE RELATIONSHIP FOR RANDOM DISPERSIVE WAVES,

Descriptive Note:

Corporate Author:

PENNSYLVANIA STATE UNIV UNIVERSITY PARK IONOSPHERE RESEARCH LAB

Personal Author(s):

Report Date:

1968-04-01

Pagination or Media Count:

27.0

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 non-uniformity at large times. The uniformly valid asymptotic expansion to this problem, the Euler-Lagrange 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 non-uniformity 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

Subject Categories:

  • Atmospheric Physics
  • Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE