Interface wave generation in two fluid medium in the presence of running stream

• Autorzy: Dolai P.
• Języki publikacji: EN

Abstrakty

EN

In this paper, a problem of two-dimensional wave generation due to initial disturbance at the interface between two superposed fluids wherein the upper fluid of finite height above the interface with a horizontal rigid lid and the lower fluid of finite depth in the presence of a uniform running stream in both the fluids is investigated. Assuming linear theory, the problem is formulated as a coupled initial value problem of the velocity potentials describing the motion in the two fluids. In the mathematical analysis, the Laplace and Fourier transform techniques have been utilized to obtain the interface depression when the initial disturbance at the interface is in the form of a prescribed interface depression or an impulse concentrated at the origin. In both the cases, the interface depression is obtained in terms of an infinite integral which is evaluated asymptotically for large time and distance by the method of stationary phase. The asymptotic forms of the interface depression are depicted graphically in a number of figures. The effect of the upper fluid and the presence of the running stream in both the fluids on the wave motion are discussed.

Słowa kluczowe

EN

wave generation; superposed fluids; running stream; stationary phase; initial disturbance; interface depression

PL

lepkość płynów; faza stacjonarna

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2008
• Tom: Vol. 13, no 3
• Strony: 669--679
• Opis fizyczny: Bibliogr. 11 poz., wykr.

Twórcy

autor

Dolai P.

• Department of Mathematics Prasanna Deb Women's College Jalpaiguri-735 101, INDIA,

Bibliografia

• Basu U. and Ghosh P. (2003): Generation of waves in a running stream. - Int. J. Appl. Mech. and Eng., vol.8, pp.17-26.
• Chaudhuri K. (1968): Waves in shallow water due to arbitrary surface disturbances. - Appl. Sci. Res., vol.19, pp.274-284.
• Dolai D.P. (1996): Waves produced by disturbances at the interface between two superposed fluids. - Proc. Indian Natn. Sci. Acad., vol.62A, pp.137-147.
• Debnath L. and Basu U. (1978): On generation and propagation of tsunamis in a shallow running stream. - Int. J. Math. and Math. Sci., vol.1, pp.373-390.
• Debnath L. and Rosenblant S. (1969): The ultimate approach to the steady state in the generation of waves on a running stream. - Quart. J. Appl. Math., vol.22, pp.221-233.
• Ghosh P. and Basu U. (1998): Waves due to initial disturbances at the interface between two superposed fluids. - Appl. Mech. and Eng., vol.3, No.2, pp.233-247.
• Kranger H.C. and Keller J.B. (1959): Water waves produced by explosions. - J. Appl. Phys., vol.30, pp.398-407.
• Lamb H. (1945): Hydrodynamics. - Dover, New York.
• Mandal B.N. (1988): Water waves generated by disturbance at an inertial surface. - Appl. Sci. Res., vol.45, pp.67-73.
• Mandal B.N. and Ghosh N.K. (1990): Generation of waves due to an arbitrary periodic surface pressure at an inertial surface in an ocean of finite depth. - Proc. Indian Natn. Sci. Acad., vol.56A, pp.521-531.
• Stoker J.J. (1957): Water Waves. - New York: Interscience.