Interaction of Water Waves with Small Undulations on a Porous Bed in a Two-layer Ice-covered Fluid

作     者：Srikumar Panda S.C.Martha 

作者机构：Department of MathematicsIndian Institute of Technology Ropar 

出 版 物：《Journal of Marine Science and Application》 (船舶与海洋工程学报（英文版）)

年 卷 期：2013年第12卷第4期

页      面：381-392页

学科分类：080704[工学-流体机械及工程] 07[理学] 0707[理学-海洋科学] 08[工学] 0807[工学-动力工程及工程热物理] 

基　　金：Supprted by the ISIRD grant(Ref.No.16-3/10/IITRPR/Acad/116) 

主　　题：two-layer fluid wave scattering reflection and transmission coefficients linear water wave theory Fourier transform perturbation technique small undulation porous bed 

摘      要：The scattering problem involving water waves by small undulation on the porous ocean-bed in a two-layer fluid,is investigated within the framework of the two-dimensional linear water wave theory where the upper layer is covered by a thin uniform sheet of ice modeled as a thin elastic *** such a two-layer fluid there exist waves with two different modes,one with a lower wave number propagate along the ice-cover whilst those with a higher wave number propagate along the *** incident wave of a particular wave number gets reflected and transmitted over the bottom undulation into waves of both *** analysis in conjunction with the Fourier transform technique is used to derive the first-order corrections of reflection and transmission coefficients for both the modes due to incident waves of two different *** special type of bottom topography is considered as an example to evaluate the related coefficients in *** coefficients are depicted in graphical forms to demonstrate the transformation of wave energy between the two modes and also to illustrate the effects of the ice sheet and the porosity of the undulating bed.