Oscillations within and on a fluid enclosed arbitrary boundaries

A number of problems describing oscillations of a fluid in regions defined by arbitrary boundaries is examined in this thesis. The arbitrary boundaries are subjecrt to linear theory as a first restriction. In one-dimensional flow problems the boundary is required to be such that transverse oscillations are negligible3 but with two-dimensional flow no further* restriction is required. The treatment is twofold in that it firstly attempts to incorporate general boundary shapes so that the mathematics is tractable and secondly devises faster numerical techniques for the analysis of the fluid oscillations under different conditions.