Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Research on Effective Thermal Conductivity in Porous Media with Randomly Distributed Damaged Tree-Like Bifurcation Networks

Version 1 : Received: 27 October 2023 / Approved: 27 October 2023 / Online: 27 October 2023 (11:00:32 CEST)

A peer-reviewed article of this Preprint also exists.

Shao, Y.; Guo, X.; Wang, H.; Zhu, L.; Zheng, Q. Research on Effective Thermal Conductivity in Porous Media Embedded with Randomly Distributed Damaged Tree-like Bifurcation Networks. Fractal Fract. 2023, 7, 853. Shao, Y.; Guo, X.; Wang, H.; Zhu, L.; Zheng, Q. Research on Effective Thermal Conductivity in Porous Media Embedded with Randomly Distributed Damaged Tree-like Bifurcation Networks. Fractal Fract. 2023, 7, 853.

Abstract

Due to the complexity of the microstructure of porous media, it is of great significance to explore the heat transport mechanism in porous media in many engineering applications. In this study, an expression for effective thermal conductivity(ETC) of porous media with randomly distributed damaged tree-like bifurcation networks is derived based on the theory of thermodynamics and fractal features of tree-like bifurcation networks. We investigate the effect of heat conduction and heat convection in porous media with randomly distributed damaged tree-like bifurcation networks on the ETC of the porous media. It is found that our fractal model is in good consistency with the existing available experimental data. In addition, the influence of the micro-structural parameters of the model on heat transfer in the porous media have been analyzed in detail. The research results can provide significant theoretical guidance for the development and design of heat transfer systems.

Keywords

effective thermal conductivity; heat conduction; heat convection; damaged tree-like bifurcation network

Subject

Engineering, Transportation Science and Technology

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