Conduction in the small gap between two spheres
作者:
Yuri Solomentsev,
Darrell Velegol,
John L. Anderson,
期刊:
Physics of Fluids
(AIP Available online 1997)
卷期:
Volume 9,
issue 5
页码: 1209-1217
ISSN:1070-6631
年代: 1997
DOI:10.1063/1.869260
出版商: AIP
数据来源: AIP
摘要:
A solution to the conduction equation has been developed for two equal size, nonconducting spheres with the line between centers perpendicular to the applied field. The solution, valid when the gap between the spheres is small compared to their radius, is based on a matched asymptotic expansion. For the case when the conductivity is uniform everywhere (i.e., Laplace’s equation), the solution agrees well with numerical results obtained from an infinite series solution in bispherical coordinates. An example with a nonuniform conductivity in the gap is presented to demonstrate how the method can be extended to more general conduction problems. ©1997 American Institute of Physics.
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