A scale analysis to study melting process driven by natural convection

Ahmed Mahmoudi

Physica A: Statistical Mechanics and its Applications, 2019, vol. 524, issue C, 430-447

Abstract: In this paper, a theoretical and numerical study of melting process driven by natural convection inside a porous square cavity differentially heated in the presence of a magnetic field is carried out. The theoretical study based on the scale analysis method made it possible to determine correlations giving the Nusselt number and the average melting front as function of the different parameters that control melting process. A numerical study by lattice Boltzmann method is also performed to verify the accuracy of the proposed correlations.

Keywords: Heat transfer; Magnetic field; Melting process; Natural convection; Porous media; Scale analysis (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:524:y:2019:i:c:p:430-447

DOI: 10.1016/j.physa.2019.04.252

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