The effect of porosity and number of unit cell on applicability of volume average approach in closed cell porous media

Author:

Wang Chunyang,Zheng Xinghua,Zhang Ting,Chen Haisheng,Mobedi Moghtada

Abstract

Purpose The purpose of this study is to investigate the applicability of volume average which is extensively used for analyzing the heat and fluid flow (both for single-phase and solid/liquid-phase change) in a closed cell porous medium numerically. Design/methodology/approach Heat conduction equations for the solid frame and fluid (or phase change material) are solved for pore scale and volume average approaches. The study mainly focuses on the effect of porosity and the number of porous media unit cell on the agreement between the results of the pore scale and volume average approaches. Findings It is observed for the lowest porosity values such as 0.3 and the number of porous media unit cell as 4 in heat transfer direction, the results between two approaches may be questionable for the single-phase fluid. By increasing the number of porous media unit cell in heat transfer direction, the agreement between two approaches becomes better. In general, for high porosity values (such as 0.9) the agreement between the results of two approaches is in the acceptable range both for single-phase and solid/liquid-phase change. Two charts on the applicability of volume average method for single-phase and solid/liquid-phase change are presented. Originality/value The authors’ literature survey shows that it is the first time the applicability of volume average which is extensively used for analyzing the heat and fluid flow in a closed cell porous medium is investigated numerically.

Publisher

Emerald

Subject

Applied Mathematics,Computer Science Applications,Mechanical Engineering,Mechanics of Materials

Reference26 articles.

1. Numerical analysis on pressure drop and heat transfer in nano-fluids at pore length scale in open metal porous structures with kelvin cells;Heat Transfer Engineering,2020

2. Pore-scale and volume-averaged numerical simulations of melting phase change heat transfer in finned metal foam;International Journal of Heat and Mass Transfer,2015

3. Convective-conductive heat transfer in dual-scale porous media: theoretical model development and numerical validation;International Journal of Heat and Mass Transfer,2020

4. The numerical assessment of volume averaging method in heat transfer modeling of tissue-like porous media;International Communications in Heat and Mass Transfer,2015

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