期刊名称:International Journal of Mathematics and Mathematical Sciences
印刷版ISSN:0161-1712
电子版ISSN:1687-0425
出版年度:1995
卷号:18
DOI:10.1155/S0161171295000214
出版社:Hindawi Publishing Corporation
摘要:An investigation is made to study the diffraction of a train of time harmonic
progressive waves propagating along the surface of separation of two superposed fluids which are
laterally unbounded, the upper fluid being extended infinitely upwards, the lower fluid being of
finite depth with sand ripples at the bottom. The first order correction to the velocity potential
for the problem of diffraction of interface waves in the presence of bottom deformation is
obtained by integral transform technique after introduction of a linear frictional term in the
kinematic boundary condition at the surface of separation following Lamb (1932), and the
reflection and transmission coefficients are estimated for a patch of sand ripples.