POTENTIAL FLOW ABOUT A PROLATE SPHEROID IN AXIAL HORIZONTAL MOTION BENEATH A FREE SURFACE
Abstract
The potential flow about a prolate spheroid in axial horizontal motion beneath a free surface is treated analytically. While the free-surface boundary condition is linearized, the boundary condition on the surface of the body is satisfied exactly. Thus, an 'exact' solution, within the theory of infinitesimal waves, is obtained. The solution is sought in the form of a distribution of sources on the surface of the spheroid, of unknown density; the analysis yields an infinite set of equations for determining the coefficients of the expansion of the density function in spherical harmonics (and therefore for determining the coefficients of the expansion of the potential in spheroidal harmonics). An expression is derived for the wave resistance of the spheroid in terms of these coefficients through application of the Lagally theorem. The expression for the wave resistance given by Havelock in 1931 is obtained as the first approximation in the present analysis.
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1968
- Accession Number
- AD0690444
Entities
People
- Cesar Farell
Organizations
- University of Iowa