The unsuitability of ellipsoids as test cases for linesource methods
Abstract
The fact that the axisymmetric flow about a prolate spheroid can be obtained through the superposition of a uniform stream and the flow due to a linearly varying line source between the foci, can be derived from first principles by equating to zero the combined stream function of the uniform stream and the line source. The prolate spheroid furnishes a counter example to the claim that axial source distributions can only represent thin boides, since prolate spheroids can also be represented exactly up to a thickness ratio of unity.
 Publication:

Journal of Aircraft
 Pub Date:
 April 1985
 Bibcode:
 1985JAir...22..346H
 Keywords:

 Axisymmetric Flow;
 Bodies Of Revolution;
 Ellipsoids;
 Flow Deflection;
 Flow Distribution;
 Potential Flow;
 Analytic Functions;
 Computational Fluid Dynamics;
 Fluid Mechanics and Heat Transfer