Transient critical-level effect for internal gravity waves in a stably stratified shear flow with thermal forcing

Jong Jin Baik, Hong Sub Hwang, Hye Yeong Chun

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6 Citations (Scopus)

Abstract

We have examined the transient critical-level effect for internal gravity waves produced by thermal forcing in a stably stratified shear flow. For this, we have solved analytically the equations governing small-amplitude perturbations in a two-dimensional, hydrostatic, nonrotating, inviscid, and Boussinesq flow system. In the case of the point pulse forcing, there is only one transient critical-level line at any time and every internal gravity wave passing through the critical level is attenuated by a factor of e -πμ[μ = ( Ri - 1/4)1/2, Ri: Richardson number (=N22, where N is the buoyancy frequency and α the vertical shear of the basic-state horizontal velocity)]. In the case of the line-type pulse forcing (bell-shaped in the horizontal), there are an infinite number of transient critical-level lines at any time. The attenuation factor for internal gravity waves is a function of space and time. This is because internal gravity waves passing through any point at any time coasist of internal gravity waves which have already experienced the transient critical-level effect and those which have not experienced the effect yet.

Original languageEnglish
Pages (from-to)238-240
Number of pages3
JournalPhysics of Fluids
Volume11
Issue number1
DOIs
Publication statusPublished - 1999 Jan

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All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes

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