Accession Number:

AD0769385

Title:

The Ultimate Image Singularities for External Spheroidal and Ellipsoidal Harmonics,

Descriptive Note:

Corporate Author:

IOWA INST OF HYDRAULIC RESEARCH IOWA CITY

Personal Author(s):

• Miloh,Touvia

Report Date:

1973-06-01

Pagination or Media Count:

24.0

Abstract:

The image system of singularities of an arbitrary exterior potential field within a tri-axial ellipsoid is derived. It is found that the image system consists of a source and doublet distribution over the fundamental ellipsoid. The present contribution is a generalization of previous theories on the image system of an exterior potential field within a sphere and spheroid. A proof of Havelocks spheroid theorem which apparently is not available in the literature is also given. The knowledge of the image system is required, for example, when hydrodynamical forces and moments acting on an ellipsoid immersed in a potential flow are computed by the Lagally theorem. The two examples given consider the image system of singularities of an ellipsoid in a uniform translatory motion and in pure rotation. Author

Descriptors:

• *FLUID FLOW
• *POTENTIAL THEORY
• ANALYTIC FUNCTIONS
• NUMERICAL INTEGRATION
• ELLIPSOIDS
• SPHERES

Subject Categories:

• Theoretical Mathematics
• Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE