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首页> 外文期刊>Physica, A. Statistical mechanics and its applications >Two models for determination of the effective conductivity of concentrated suspensions of ellipsoidal particles with surface phenomena
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Two models for determination of the effective conductivity of concentrated suspensions of ellipsoidal particles with surface phenomena

机译：两种模型，用于测定具有表面现象的椭圆粒子浓缩悬浮液的有效电导率

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摘要

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.
机译：许多多组分材料，例如岩石或纳米流体的特征在于界面处存在导电表面层。 这些导电层可以改变这种材料的有效物理性质（例如，有效的热或电导率）。 考虑具有表面电导率的椭圆形颗粒的悬浮液。 提出了两个理论模型，用于溶液中所谓的一次颗粒问题，其可以在任何均匀化方案中使用以确定这种悬浮液的有效电导率。 第一模型基于用于电流密度的边界条件（跳跃边界条件）的修改。 第二种模型基于共聚焦椭圆体。 通过将过渡到无限薄的外部椭圆形壳来获得表面电导率的效果。

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