Thermal transport equations in porous media from product-like fractal measure

In this study, we have used the concept of product-like fractal measure to analyze the fractal heat transfer in anisotropic media. This concept was introduced by Li and Ostoja-Starzewski in order to study anisotropic fractal elastic and continuum media. The theory is characterized by extended fluid, mass and heat transfer fractal equations besides the emergence of a damping heat term in the fractal advection-diffusion equation. Several applications are discussed and a number of features are revealed.