Internal wave diffraction by a strip of an elastic plate on the surface of a stratified fluid

• Autorzy: Dolai P. , Dolai D. P.

Identyfikatory

DOI

10.2478/ijame-2013-0001

• Języki publikacji: EN

Abstrakty

EN

The problem of internal wave diffraction by a strip of an elastic plate of finite width present on the surface of an exponentially stratified liquid is investigated in this paper. Assuming linear theory, the problem is formulated in terms of a function related to the stream function describing the motion in the liquid. The related boundary value problem involves a hyperbolic type partial differential equation (PDE), known as the Klein Gordon equation. The method of Wiener-Hopf is utilized in the mathematical analysis to a slightly generalized boundary value problem (BVP) by introducing a small parameter, and the problem is solved approximately for large width of the plate. In the final results, this small parameter is made to tend to zero. The diffracted field is obtained in terms of integrals, which are then evaluated asymptotically in different regions for a large distance from the edges of the plate and the results are interpreted physically.

Słowa kluczowe

EN

stratified fluid; Klein-Gordon equation; Wiener-Hopf technique; steepest descent method

PL

równanie Kleina-Gordona; płyn warstwowy; metoda Wienera-Hopfa

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2013
• Tom: Vol. 18, no. 1
• Strony: 5--26
• Opis fizyczny: Bibliogr. 8 poz., wykr.

Twórcy

autor

Dolai P.

• Department of Mathematics Prasanna Deb Women’s College Jalpaiguri-735101 West Bengal, INDIA

autor

Dolai D. P.

• River Research Institute Govt. of West Bengal 11A, Mirza Ghalib Stret Kolkata-700087, INDIA

Bibliografia

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