Note on the surface wave due to the prescribed elevation |
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Authors: | Niranjan Das |
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Affiliation: | (1) Department of Mathematics, University of North Bengal, P.O. North Bengal University. Dist., 734 430 Darjeeling, Indial;(2) Melarmath, P.O. Haldibari, 735 122 Coochbehar, India |
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Abstract: | In the present paper, a study of the deep-sea water wave caused by an oscillatory wind stress due to the atmospheric depression, resulting in spiral cyclonic wind pressure on the surface of the sea is made. It has been observed that the motion of the water wave in the case of wind stress exhibits a greater elevation on the sea surface asg the acceleration due to gravity decreases and maintains the oscillatory nature with the increase of time. For the case of spiral cyclonic motion for which the sea surface experiences the elliptical pressure on the surface, the motion diminishes asg diminishes and oscillates with the variation of time. The motion also diminishes asymptotically as the radius vector of the elliptical pressure approaches unity. |
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Keywords: | Surface wave irrotational wind stress velocity potential |
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