Transport properties of a rectangular array of highly conducting cylinders
type: Item
instance of: scholarly article
title: Transport properties of a rectangular array of highly conducting cylinders
zbMATH Open document ID: 0963.78023
DOI: 10.1023/A:1004669705627
author: Natalia Rylko
published in: Journal of Engineering Mathematics
publication date: 2001-06-26T00:00:00Z
review text: The functional equation method is applied to evaluate the effective conductivity tensor for a rectangular array of highly conducting cylinders. Some results of \textit{V. V. Mityushev} [Demonstr. Math. 30, 63-70 (1997; Zbl 0878.39006) and Arch. Mech. 49, 345-358 (1997; Zbl 0886.73038)] are used. The final formulas are written in terms of the modified Eisenstein functions. An algorithm to get approximate formulas with given accuracy is proposed, but the convergence question is not considered. Some formulas can be recommended to use in applied physics.
reviewed by: Nikolai Pleshchinskii
Mathematics Subject Classification ID: 78A48
zbMATH DE Number: 1488267
zbMATH Keywords: effective transport properties
zbMATH Keywords: Eisenstein functions
zbMATH Keywords: heat conduction
zbMATH Keywords: composite materials
MaRDI profile type: Publication
full work available at URL: a:1004669705627
OpenAlex ID: W142219002
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description: scientific article; zbMATH DE number 1488267