Effective conductivity estimation of binary metallic mixtures

The effective conductivity of binary metallic mixtures depends upon the concentration ( c ) of metallic mixtures and conductivity ratio ( α ) . The binary metallic mixtures exist in a variety of shapes and sizes. No single theory can be expected to cover all the concentration and conductivity ranges. In the present work, a model has been proposed including both constant isotherms based unit cell approach and Bessel function based semi-empirical field solution approach. The non-dimensional effective conductivity ( K ) of macroscopically heterogeneous and anisotropic mixtures has been investigated. Another important aspect of the model is that it covers all ranges of concentration and conductivity ratio. The effect of concentration ( c ) on variable height of inclusion ( h ) has been studied. A comparison of the model has been made with two extreme bounds (parallel and series) and other well-known models, which gives a reasonable agreement. The model has also been compared with experimental data of various binary metallic mixtures such as Bi Bi 2Pb, Bismuth Tin, Mg 2Pb Pb, Cadmium Lead, Copper Ferrous, Cu 2Sb Sb, and Antimony Lead. The conductivity estimated by the model for binary metallic mixtures is within 8% deviation from the experimental values.