Most of the thermal design systems involve two phase materials and analysis of such systems requires detailed understanding of the thermal characteristics of the two phase material. This article aimed to develop geometry dependent unit cell approach model by considering the effects of all primary parameters (conductivity ratio and concentration) and secondary parameters (geometry, contact resistance, natural convection, Knudsen and radiation) for the estimation of effective thermal conductivity of two-phase materials. The analytical equations have been formulated based on isotherm approach for 2-D and 3-D spatially periodic medium. The developed models are validated with standard models and suited for all kind of operating conditions. The results have shown substantial improvement compared to the existing models and are in good agreement with the experimental data.
Chidambara Raja S, Karthikeyan P, L. A. Kumaraswamidhas, and Dr. M. Ramu, “Effect of primary and secondary parameters on analytical estimation of effective thermal conductivity of two phase materials using unit cell approach”, Heat and Mass Transfer, vol. 54, no. 5, pp. 1323–1335, 2018.