Final Stages of Wake Collapse in a Stratified Fluid,

Abstract

Wake collapse in a stratified fluid is studied in the linear approximation with particular attention to the late stages of its decay. For an infinite ocean with a constant Vaisala frequency, any smooth disturbance will eventually decay as the minus three halves power of t. An apparent discrepancy between this result and the work of Hartman and Lewis is traced to the sharp discontinuity in their initial conditions. The normal modes for a realistic problem with an ocean surface and bottom and a varying Vaisala frequency are treated by methods developed in potential scattering theory, and the results are then used to estimate the behavior of the disturbance at late times.

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1973
Accession Number
AD0761622

Entities

People

  • Steven Weinberg

Organizations

  • Institute for Defense Analyses

Tags

DTIC Thesaurus Topics

  • Backscattering
  • Collapse
  • Discontinuities
  • Electromagnetic Scattering
  • Frequency
  • Mechanical Phenomena
  • Mechanics
  • Nuclear Scattering
  • Potential Scattering
  • Scattering
  • Stratified Fluids
  • Wave Phenomena

Fields of Study

  • Physics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Fluid Dynamics.