Asymptotic Studies of Closely Spaced, Highly Conducting Cylinders
- Creators
- McPhedran, R. C.
- Poladian, L.
- Milton, G. W.
Abstract
We consider the solution of the scalar transport problem for a pair of nearly touching cylinders of high conductivity. We obtain an expression for the set of multipole moments of the potential distribution for this problem in terms of the hypergeometric function. We apply this expression in the estimation of truncation errors occurring in the matrix solution of the corresponding transport problem for the square array of cylinders. Consequently, we are able to calculate the array transport coefficient for arbitrarily high cylinder conductivities, and arbitrarily small cylinder separations. We derive and verify an expression for this coefficient which is uniformly valid throughout the whole asymptotic region when highly conducting cylinders approach touching.
Additional Information
© 1988 The Royal Society. Received 6 May 1987. R. C. McP. and L. P. acknowledge the Science Foundation for Physics within the University of Sydney for the provision of facilities. G. W. M. is grateful for the support of the California Institute of Technology through the award of a Weingart fellowship.Additional details
- Eprint ID
- 54178
- Resolver ID
- CaltechAUTHORS:20150128-100909773
- Weingart Foundation
- Created
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2015-01-28Created from EPrint's datestamp field
- Updated
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2021-11-10Created from EPrint's last_modified field