NDLI: Scattering of oblique surface waves by the edge of small deformation on a porous ocean bed

Content Provider	Springer Nature Link
Author	Mohapatra, Smrutiranjan
Copyright Year	2015
Abstract	The scattering of oblique incident surface waves by the edge of a small cylindrical deformation on a porous bed in an ocean of finite depth, is investigated here within the framework of linearized water wave theory. Using perturbation analysis, the corresponding problem governed by modified Helmholtz equation is reduced to a boundary value problem for the first-order correction of the potential function. The first-order potential and, hence, the reflection and transmission coefficients are obtained by a method based on Green's integral theorem with the introduction of appropriate Green’s function. Consideration of a patch of sinusoidal ripples shows that when the quotient of twice the component of the incident field wave number along x-direction and the ripple wave number approaches one, the theory predicts a resonant interaction between the bed and the free-surface, and the reflection coefficient becomes a multiple of the number of ripples. Again, for small angles of incidence, the reflected energy is more as compared to the other angles of incidence. It is also observed that the reflected energy is somewhat sensitive to the changes in the porosity of the ocean bed. From the derived results, the solutions for problems with impermeable ocean bed can be obtained as particular cases.
Starting Page	156
Ending Page	162
Page Count	7
File Format	PDF
ISSN	16719433
Journal	Journal of Marine Science and Application
Volume Number	14
Issue Number	2
e-ISSN	19935048
Language	English
Publisher	Harbin Engineering University
Publisher Date	2015-05-05
Publisher Place	Harbin
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	oblique waves bottom deformation porous bed Green’s function perturbation technique reflection coefficient transmission coefficient scattering Offshore Engineering Machinery and Machine Elements Power Electronics, Electrical Machines and Networks Geotechnical Engineering & Applied Earth Sciences
Content Type	Text
Resource Type	Article
Subject	Ocean Engineering Mechanical Engineering

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