Abstract

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.

中文翻译：

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从产品状分形测度得到多孔介质中的热输运方程

摘要

在这项研究中，我们使用了类积分形测度的概念来分析各向异性介质中的分形传热。这个概念是由 Li 和 Ostoja-Starzewski 引入的，目的是研究各向异性分形弹性和连续介质。除了在分形平流扩散方程中出现阻尼热项外，该理论的特点是扩展了流体、质量和传热分形方程。讨论了几个应用程序并揭示了许多功能。