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Determination of effective electromagnetic parameters of concentrated suspensions of ellipsoidal particles using Generalized Differential Effective Medium approximation

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  • Markov, M.
  • Levin, V.
  • Markova, I.

Abstract

The paper presents an approach to determine the effective electromagnetic parameters of suspensions of ellipsoidal dielectric particles with surface conductivity. This approach takes into account the existence of critical porosity that corresponds to the maximum packing volume fraction of solid inclusions. The approach is based on the Generalized Differential Effective Medium (GDEM) method. We have introduced a model of suspensions containing ellipsoidal inclusions of two types. Inclusions of the first type (phase 1) represent solid grains, and inclusions of the second type (phase 2) contain material with the same physical properties as the host (phase 0). In this model, with increasing porosity the concentration of the host decreases, and it tends to zero near the critical porosity. The proposed model has been used to simulate the effective electromagnetic parameters of concentrated suspensions. We have compared the modeling results for electrical conductivity and dielectric permittivity with the empirical equations. The results obtained have shown that the GDEM model describes the effective electrical conductivity and dielectric permittivity of suspensions in a wide range of inclusion concentrations.

Suggested Citation

  • Markov, M. & Levin, V. & Markova, I., 2018. "Determination of effective electromagnetic parameters of concentrated suspensions of ellipsoidal particles using Generalized Differential Effective Medium approximation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 492(C), pages 113-122.
    • Handle: RePEc:eee:phsmap:v:492:y:2018:i:c:p:113-122
    DOI: 10.1016/j.physa.2017.09.038
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    Cited by:

    1. Markov, M. & Levin, V. & Markova, I., 2020. "Two models for determination of the effective conductivity of concentrated suspensions of ellipsoidal particles with surface phenomena," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 559(C).

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