Two models for determination of the effective conductivity of concentrated suspensions of ellipsoidal particles with surface phenomena

M. Markov, V. Levin and I. Markova

Physica A: Statistical Mechanics and its Applications, 2020, vol. 559, issue C

Abstract: Many multicomponent materials such as rocks or nanofluids are characterized by the presence of conductive surface layers at the interface. These conductive layers can change effective physical properties (for example, effective thermal or electrical conductivities) of such materials. A suspension of ellipsoidal particles with surface conductivity is considered. Two theoretical models are presented for the solution of the so-called one-particle problem that can be used then in any homogenization scheme for determination of the effective conductivity of such suspension. The first model is based on the modification of the boundary conditions for the electric current density (the jump boundary conditions). The second model is based on the confocal ellipsoids. The effect of surface conductivity is obtained for this model by limiting transition to the infinitely thin external ellipsoidal shell.

Keywords: Effective conductivity; Surface conductivity; Self-consistent methods (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:559:y:2020:i:c:s0378437120305793

DOI: 10.1016/j.physa.2020.125106

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