Estimation of effective thermal conductivity for porous material

Chaudhary’s, Rajlaxmi and Patle, SD. (2025) Estimation of effective thermal conductivity for porous material. International Journal of Science and Research Archive, 14 (2). pp. 1513-1524. ISSN 2582-8185

In this study, an algebraic expression for the effective thermal conductivity (ETC) of two-phase porous materials is derived using a two-layer model, which is analogous to the electrical resistance in an electrical circuit. This analytical approach enables the evaluation of the ETC through the proposed algebraic expression for two-dimensional porous media. The geometries under consideration include arrays of non-touching in-line and staggered square and circular cylinders, as well as touching hexagonal arrangements, rectangular grilles, criss-cross grilles, hexagons, and touching square cylinders. Comparison of the results obtained from the proposed algebraic expression with existing numerical solutions demonstrates excellent agreement.