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International Journal of Fluid Mechanics Research
ESCI SJR: 0.22 SNIP: 0.446 CiteScore™: 0.5

ISSN Print: 2152-5102
ISSN Online: 2152-5110

International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v36.i6.20
pages 502-512

Generation of Water Waves by a Line Source in Presence of Surface Tension

Prabir Kumar Kundu
Department of Mathematics, Jadavpur University, Kolkata 700032, W.B., India
Partha Agasti
Department of Mathematics, Debipur Milan Vidyapih, Debipur, Purba Medinipur, West Bengal, Kolkata-721650, INDIA

ABSTRACT

Present study is concerned with the generation of water waves by an oscillating line source in the presence of a nearly vertical cliff in deep water. Corrections upto first order to the wave amplitude at infinity and the velocity potential have been found in terms of integrals involving the shape function of the cliff by using a technique, essentially, based on the standard perturbation theory, assuming the surface tension effect at the free surface. Assuming two particular shapes of the nearly vertical cliff, these corrections have also been found.


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