AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
Powered by AMiner. Clicking this button will take you away from SciOpen.
Home Experimental and Computational Multiphase Flow Article
Article Link
Cite
EndNote(RIS) BibTeX
Collect
Submit Manuscript
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Research Article

Analysis of unsteady liquid-vapor front in a porous medium with variable heat generation

Zafar Hayat Khan1,2( ), Rashid Ahmad3, Licheng Sun1, Waqar Ahmed Khan4
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
Melbourne Graduate School of Education, University of Melbourne, 234 Queensberry Street, Melbourne, Victoria 3010, Australia
Department of Mechanical Engineering, College of Engineering, Prince Mohammad Bin Fahd University, Al Khobar 31952, Saudi Arabia
Show Author Information

Abstract

The study incorporates the time-dependent condensation model embedded in a porous medium with variations in liquid-vapor densities along with variable heat generation. A semi-implicit discretization is employed to convert the enthalpy based partial differential equations into a system of nonlinear algebraic equations. The dimensionless form of a two-phase model, along with the heat jump condition, is solved via an Adaptive Moving Mesh Method (AMMM), which uses a smooth enthalpy-temperature relationship. The unsteady liquid-vapor phase change front with internal heat variations are achieved with the manifestation of various appropriate parameters. The obtained results are elucidated graphically. Results indicate that the upsurge in internal heat generation is assisting to reduce the condensation liquid-vapor phase front. With the enormous time variations, the condensation front position is found to be maximum as compared to a short time variation. The study further indicates that liquid density, liquid thermal conductivity, and temperature have enhanced the position of the liquid-vapor front with the variations in dimensionless time.

Keywords

liquid-vapor frontporous mediumheat generationnumerical solutioncondensation rate

References

 
Beckett, G., Mackenzie, J. A., Robertson, M. L. 2001. A moving mesh finite element method for the solution of two-dimensional Stefan problems. J Comput Phys, 168: 500-518.
Crossref Google Scholar
 
Carey, V. P. 2007. Liquid-Vapor Phase-Change Phenomena. Taylor & Francis, Inc.
 
Chan, S. H., Hsu, K. Y. 1987. Generalized phase change model for melting and solidification with internal heat generation. J Thermophys Heat Trans, 1: 171-174.
Crossref Google Scholar
 
Charach, Ch., Rubinstein, I. L. 1989. On entropy generation in phase change, heat conduction. J Appl Phys, 66: 4053-4061.
Crossref Google Scholar
 
Cheung, F. B., Chawla, T. C., Pedersen, D. R. 1984. The effects of heat generation and wall interaction on freezing and melting in a finite slab. Int J Heat Mass Tran, 27: 29-37.
Crossref Google Scholar
 
Crepeau, J. C., Siahpush, A. 2005. Effects of internal heat generation on solidification. In: Proceedings of the ASME 2005 Summer Heat Transfer Conference collocated with the ASME 2005 Pacific Rim Technical Conference and Exhibition on Integration and Packaging of MEMS, NEMS, and Electronic Systems, 2: 387-391.
 
Crepeau, J. C., Siahpush, A. S. 2012. Solid-liquid phase change driven by internal heat generation. Comptes Rendus Mécanique, 340: 471-476.
Crossref Google Scholar
 
Date, A. W. 1991. A strong enthalpy formulation for the Stefan problem. Int J Heat Mass Tran, 34: 2231-2235.
Crossref Google Scholar
 
Dutil, Y., Rousse, D. R., Salah, N. B., Lassue, S., Zalewski, L. 2011. A review on phase-change materials: Mathematical modeling and simulations. Renew Sust Energ Rev, 15: 112-130.
Crossref Google Scholar
 
Ghasemi, S. E., Hatami, M., Ganji, D. D. 2014. Thermal analysis of convective fin with temperature-dependent thermal conductivity and heat generation. Case Stud Therm Eng, 4: 1-8.
Crossref Google Scholar
 
Gupta, S. C. 2003. The Classical Stefan Problem: Basic Concepts, Modelling and Analysis. Elsevier.
 
Hager, J., Whitaker, S. 2000. Vapor-liquid jump conditions within a porous medium: Results for mass and energy. Transport in Porous Media, 40: 73-111.
Crossref Google Scholar
 
Harris, K. T., Haji-Sheikh, A., Agwu Nnanna, A. G. 2001. Phase-change phenomena in porous media—a non-local thermal equilibrium model. Int J Heat Mass Tran, 44: 1619-1625.
Crossref Google Scholar
 
Khan, Z. H., Ahmad, R., Sun, L. 2020. Effect of instantaneous change of surface temperature and density on an unsteady liquid-vapor front in a porous medium. Exp Comput Multiphase Flow, 2: 115-121.
Crossref Google Scholar
 
Khan, Z. H., Pritchard, D. 2015. Anomaly of spontaneous transition to instability of liquid-vapour front in a porous medium. Int J Heat Mass Tran, 84: 448-455.
Crossref Google Scholar
 
Kikuchi, Y., Shigemasa, Y. 1983. Liquid solidification in laminar tube flow with internal heat sources. Nucl Eng Des, 75: 73-80.
Crossref Google Scholar
 
McCord, D., Crepeau, J., Siahpush, A., Ferres Brogin, J. A. 2016. Analytical solutions to the Stefan problem with internal heat generation. Appl Therm Eng, 103: 443-451.
Crossref Google Scholar
 
Pakala, V. K. C., Plumb, O. A. 2009. Heat Transfer at an evaporating front in porous media. In: Proceedings of the ASME 2009 Heat Transfer Summer Conference collocated with the InterPACK09 and 3rd Energy Sustainability Conferences, 3: 317-326.
 
Shishkova, I. N., Kryukov, A. P., Levashov, V. Y. 2019. Vapour-liquid jointed solution for the evaporation-condensation problem. Int J Heat Mass Tran, 141: 9-19.
Crossref Google Scholar
Experimental and Computational Multiphase Flow
Volume 4 Issue 3,
September 2022
Pages 304-309
DOI: 10.1007/s42757-020-0090-2
Cite this article:
Khan ZH, Ahmad R, Sun L, et al. Analysis of unsteady liquid-vapor front in a porous medium with variable heat generation. Experimental and Computational Multiphase Flow, 2022, 4(3): 304-309. https://doi.org/10.1007/s42757-020-0090-2

688

Views

8

Crossref

8

Web of Science

8

Scopus

Altmetrics
Received: 06 August 2020
Revised: 24 September 2020
Accepted: 21 October 2020
Published: 08 January 2021
© Tsinghua University Press 2020
Return