Internal capillary-gravity waves of a two-layer fluid with free surface over an obstruction - Forced extended KdV equation

Jeongwhan Choi, S. M. Sun, M. C. Shen

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

In this paper we study steady capillary-gravity waves in a two-layer fluid bounded above by a free surface and below by a horizontal rigid boundary with a small obstruction. Two critical speeds for the waves are obtained. Near the smaller critical speed, the derivation of the usual forced KdV equation (FKdV) fails when the coefficient of the nonlinear term in the FKdV vanishes. To overcome this difficulty, a new equation, called a forced extended KdV equation (FEKdV) governing interfacial wave forms, is obtained by a refined asymptotic method. Various solutions and numerical results of this equation are presented.

Original languageEnglish
Pages (from-to)397-404
Number of pages8
JournalPhysics of Fluids
Volume8
Issue number2
Publication statusPublished - 1996 Feb 1

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Gravity waves
gravity waves
Fluids
fluids
critical velocity
asymptotic methods
derivation
coefficients

ASJC Scopus subject areas

  • Fluid Flow and Transfer Processes
  • Computational Mechanics
  • Mechanics of Materials
  • Physics and Astronomy(all)
  • Condensed Matter Physics

Cite this

Internal capillary-gravity waves of a two-layer fluid with free surface over an obstruction - Forced extended KdV equation. / Choi, Jeongwhan; Sun, S. M.; Shen, M. C.

In: Physics of Fluids, Vol. 8, No. 2, 01.02.1996, p. 397-404.

Research output: Contribution to journalArticle

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