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1 International Journal of Applied Mechanics and Engineering

1 2003

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Generation of waves in running stream

Basu U., Ghosh P.

International Journal of Applied Mechanics and Engineering

2003

Vol. 8, no 1

17-26

In this paper, a problem of the two-dimensional wave generation due to an initial disturbance at the free surface in an ocean of finite depth in the presence of surface tension and a uniform running stream is investigated. Using linear theory, the problem is formulated as an initial value problem for the velocity potential describing the ensuing motion in the fluid. In the mathematical analysis the Laplace and Hankel transform techniques have been utilized to obtain the elevation of the free surface in the form of an infinite integral. This is then evaluated asymptotically for large time and distance by applying the method of stationary phase. The form of the free surface is depicted graphically for two types of initial disturbances. The effect of the surface tension and the presence of the running stream on the wave motion are discussed.