Integrals of two-dimensional motions of a perfect incompressible fluid of nonuniform density

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Abstract

Integrals of motion are obtained which remain the same by virtue of the linearized equations of two-dimensional motions of a perfect incompressible fluid stratified with respect to the density and which are quadratic forms of the perturbation fields. The properties of these integrals and the variational principles associated with them are discussed. A number of conclusions concerning the problem of stability of stratified flows are drawn.

Original languageEnglish
Pages (from-to)340-343
Number of pages4
JournalFluid Dynamics
Volume22
Issue number3
DOIs
Publication statusPublished - May 1987

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ASJC Scopus subject areas

  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Fluid Flow and Transfer Processes

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