Solution of the Laplace Equation in the Presence of a Semi-Infinite Boundary - the Case of an Oscillating Cantilever Plate in Uniform Incompressible Flow (Neumann Boundary Conditions; Fourier Sine and Cosine Transforms)

摘要

The solution of the two-dimensional Laplace equation satisfying Neumann boundary conditions on a semi-infinite boundary is obtained using the Fourier Cosine and Sine transforms. The case of a flexible plate in uniform flow is considered in detail and it is shown that the expression for the velocity potential for plates with fixed ends is a special case of that for cantilever plates. (Atomindex citation 13:715441)