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

 

作者: J. W. Choi,   S. M. Sun,   M. C. Shen,  

 

期刊: Physics of Fluids  (AIP Available online 1996)
卷期: Volume 8, issue 2  

页码: 397-404

 

ISSN:1070-6631

 

年代: 1996

 

DOI:10.1063/1.868793

 

出版商: AIP

 

数据来源: AIP

 

摘要:

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. ©1996 American Institute of Physics.

 

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