TRAVELING WAVES ON A MEMBRANE - REFLECTION AND TRANSMISSION AT A CORNER OF ARBITRARY ANGLE .2.

This is the second part of an investigation into the reflection and tr ansmission of fluid coupled membrane waves at a corner of arbitrary an gle. In part one of this work (Abrahams & Lawrie 1995) an exact soluti on was obtained for a model problem comprising of a fluid wedge of arb itrary angle 4 beta bounded by two identical semiinfinite plane membra nes and forced by a surface wave incident along one face of the wedge. The problem was decomposed into a symmetric and an antisymmetric sub- problem and closed form expressions for the reflection coefficients, R (s) and R(a) respectively, were derived. The solution method incorpora tes several fundamental advancements on the work of Maliuzhinets (1958 ) and offers a constructive approach by which wedge problems with high er order boundary conditions can be solved easily. In this part of the investigation it is demonstrated how, for rational wedge angles, the formulae of part I can be exploited to yield simple exact or asymptoti c expressions for R(s), R(a) and, therefore, the reflection and transm ission coefficients for the full problem. Further, a numerical impleme ntation of the analytic solution enables these coefficients to be dete rmined for all wedge angles beta (0 less than or equal to beta less th an or equal to pi), both for heavy and moderate fluid loading. The res ults confirm the reflection coefficients known previously for a few sp ecial wedge angles, and highlight several interesting trends. In parti cular it is found that, in the heavy fluid loading limit, there is a r emarkably simple relationship between the phases of R(s), R(a) and bet a.