Based on one-dimensional analysis of heat conduction, a general formula for the effective stagnant thermal conductivity of spatially periodic porous media is derived without assuming local thermal equilibrium. Furthermore, we discuss the contribution of the contact area between particles to the effective stagnant thermal conductivity in detail, and the modification of the formula is proposed to predict the actual effective stagnant thermal conductivity for the porous media. The present results are in good agreement with experimental results of Nozad et al. (1985, “Heat Conduction in Multi-Phase Systems I: Theory and Experiments for Two-Phase Systems,” Chem. Eng. Sci., 40(5), pp. 843–855) for a packed-sphere bed.
Modeling of Effective Stagnant Thermal Conductivity of Porous Media
Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received May 19, 2014; final manuscript received July 17, 2015; published online August 11, 2015. Assoc. Editor: Peter Vadasz.
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Takatsu, Y., Masuoka, T., Nomura, T., and Yamada, Y. (August 11, 2015). "Modeling of Effective Stagnant Thermal Conductivity of Porous Media." ASME. J. Heat Transfer. January 2016; 138(1): 012601. https://doi.org/10.1115/1.4031146
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