Abstract of the paper ``Effective conductivity by fluid analogy for a porous
insulator filled with a conductor''
By combining identities relating effective conductivity to tortuosity
and tortuosity to induced mass, a general formula for the effective
(electrical or thermal) conductivity of a porous insulator filled with
a conductor is obtained. This formula depends on an induced-mass factor
which arises by treating the conducting material as an inviscid fluid.
This induced-mass factor can be estimated with the use of an effective-medium
theory. For random arrays of equal spheres, the estimates of conductivity
obtained with the use of this fluid analogy are in good agreement with recent
exact values derived for periodic arrays of insulating spheres to
closest packing.
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