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Research Article

Effect of instantaneous change of surface temperature and density on an unsteady liquid-vapour front in a porous medium

Zafar Hayat Khan1,2( ), Rashid Ahmad3,4, Licheng Sun1
State Key Laboratory of Hydraulics and Mountain River Engineering, College of Water Resource & Hydropower, Sichuan University, Chengdu 610065, China
Key Laboratory of Advanced Reactor Engineering and Safety, Ministry of Education, Tsinghua University, Beijing 100084, China
School of Mathematics and Physics, University of Queensland, St Lucia, Brisbane 4072, Queensland, Australia
Faculty of Engineering Sciences, GIK Institute of Engineering Sciences and Technology, Topi, Swabi, KPK, Pakistan
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Abstract

This article presents a comprehensive analysis of time dependent condensation model embedded in a porous medium with variations in liquid-vapour densities. Both similarity and asymptotic solutions for the unsteady liquid-vapour phase change front are obtained with the manifestation of various pertinent parameters. The obtained results are compared which congregate well as depicted clearly in graphs. Results indicate that with different diffusivity and contrast ratios, the similarity front parameter is found to be gradually declining with variation in a density ratio. We have shown for the condensation process, the ratio of sensible to latent heat is independent of time and is equal to the half of the Stefan number of the liquid phase.

Keywords

unsteady liquid-vapour frontporous mediumStefan numbersimilarity and asymptotic solutionsdensity variations

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Experimental and Computational Multiphase Flow
Volume 2 Issue 2,
June 2020
Pages 115-121
DOI: 10.1007/s42757-019-0027-9
Cite this article:
Khan ZH, Ahmad R, Sun L. Effect of instantaneous change of surface temperature and density on an unsteady liquid-vapour front in a porous medium. Experimental and Computational Multiphase Flow, 2020, 2(2): 115-121. https://doi.org/10.1007/s42757-019-0027-9

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Received: 06 March 2019
Revised: 18 April 2019
Accepted: 19 April 2019
Published: 10 October 2019
© Tsinghua University Press 2019
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