Paper Title:
The Effective Conductivity of 2D Porous Materials with Temperature Dependent Material Properties
  Abstract

The effective conductivity of 2D doubly periodic porous materials with temperature dependent material properties is investigated. An arbitrary number of disjoint parallel cylindri- cal pores in a representative cell is considered. A multiply connected unbounded domain in the complex plane can serve as a geometrical description of such kind of materials. The problem of determination of the effective conductivity can be reduced to a boundary value problem for the Laplace equation on the multiply connected domain. This problem is analytically solved by the method of functional equations. An explicit formula for the effective conductivity is found. It contains the basic models’ parameters and elliptic Eisenstein functions.

  Info
Periodical
Edited by
Andreas Öchsner and José Grácio
Pages
112-117
DOI
10.4028/www.scientific.net/MSF.553.112
Citation
E. Pesetskaya, A. Öchsner, S. Rogosin, "The Effective Conductivity of 2D Porous Materials with Temperature Dependent Material Properties", Materials Science Forum, Vol. 553, pp. 112-117, 2007
Online since
August 2007
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$35.00
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