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Plane potential flows past doubly periodic arrays and their connection with effective transport properties

Published online by Cambridge University Press:  21 April 2006

F. K. Lehner
F. K. Lehner
Affiliation:
Koninklijke/Shell Exploratie en Produktie Laboratorium, 2288 GD Rijswijk ZH, The Netherlands
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Abstract

A method of constructing plane potential flows past doubly periodic arrays of cylindrical obstacles is described. It is based on Rankine's well-known technique of determining by simple superposition the shape of an oval-shaped obstacle simultaneously with the flow round the obstacle. This paper deals with the use of such potentials in calculating effective medium conductivities for a class of doubly periodic two-phase materials which contain either non-conducting or perfectly conducting cylindrical inclusions embedded within a conducting matrix phase.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 162 , January 1986 , pp. 35 - 51
Copyright
© 1986 Cambridge University Press

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