Structure of the scalar field around unidirectional circular cylinders-Reference-Cited by-同舟云学术

Structure of the scalar field around unidirectional circular cylinders

Published:2007-11-27 Issue:2090 Volume:464 Page:391-407
ISSN:1364-5021
Container-title:Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
language:en
Short-container-title:Proc. R. Soc. A.

Author:

Rylko Natalia¹

Affiliation:

1. Department of Technology, Pedagogical AcademyPodchorazych 2, Krakow 30-084, Poland

Abstract

We study transport properties of equal infinite unidirectional circular cylinders that are arbitrarily distributed in a uniform host. The problem is reduced to a conjugation problem for the two-dimensional Laplace equation. The flux is written exactly in the form of a power series in Bergman's contrast parameter. Asymptotic formulae for the flux are deduced for densely packed inclusions. These formulae involve two small parameters: the ratio of the distance between the close discs to their radius and a dimensionless parameter that characterizes the degree of perfect conductor/isolator. Validity of the structural approximation is discussed.

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2007.0114

Reference25 articles.

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