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Steady Absorption from Spheroidal Cavities¹

ABSTRACT

Exact solutions are given for steady absorption from prolate and oblate spheroidal cavities (or bulbs of saturation). The solutions for the needle, sphere, and disc are special cases. Apart from their direct relevance to systems with gravity negligible, our results yield the leading terms of expansions describing steady infiltration for small and moderate values of the dimensionless cavity (or bulb) length.

¹ Contribution from CSIRO, Australia. The basic work was done during a short visit to the Department of Land Resources Science, University of Guelph, Guelph, Ont., Canada.

² Chief, CSIRO Division of Environmental Mechanics, GPO Box 821, Canberra, A.C.T. 2601, Australia.

Received for publication September 18, 1984. Accepted for publication February 14, 1985.