Abstract
The work is devoted to the numerical investigation of unsteady regimes of the paraffin convective melting inside a closed rectangular region heated from the energy source with a constant density of the volumetric heat generation. The problem has been formulated in dimensionless transformed variables “stream function−vorticity−temperature” and solved by using a finite difference method. The main characteristics of the melting process and heat transfer in a liquid medium have been obtained and analyzed at different powers of the energy source (from 5 to 100 Watt). The influence of heat transfer from the source on the temperature distributions inside the region containing paraffin has been analyzed.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
S.G. Kandlikar and C.N. Hayner II, Liquid cooled cold plates for industrial high-power electronic devices–thermal design and manufacturing considerations, Heat Transfer Engng, 2009, Vol. 30, No. 12, P. 918–930.
J. Li and L. Lv, Experimental studies on a novel thin flat heat pipe heat spreader, Appl. Thermal Engng, 2016, Vol. 93, P. 139–146.
Z. Li, L. Lv, and J. Li, Combination of heat storage and thermal spreading for high power portable electronics cooling, Int. J. Heat Mass Transfer, 2016, Vol. 98, P. 550–557.
B. Mortazavi, H. Yang, F. Mohebbi, G. Cuniberti, and T. Rabczuk, Graphene or h-BN paraffin composite structures for the thermal management of Li-ion batteries: a multiscale investigation, Appl. Energy, 2017, Vol. 202, P. 323–334.
Z. Wang, Z. Zhang, L. Jia, and L. Yang, Paraffin and paraffin/aluminum foam composite phase change material heat storage experimental study based on thermal management of Li-ion battery, Appl. Thermal Engng, 2015, Vol. 78, P. 428–436.
Q. Zhang, Y. Huo, and Z. Rao, Numerical study on solid–liquid phase change in paraffin as phase change material for battery thermal management, Science Bulletin, 2016, Vol. 61, No. 5, P. 391–400.
X.Q. Wang, A.S. Mujumdar, and C. Yap, Effect of orientation for phase change material (PCM)-based heat sinks for transient thermal management of electric components, Int. Communications in Heat and Mass Transfer, 2007, Vol. 34, P. 801–808.
N. Zheng and R.A. Wirtz, A hybrid thermal energy storage device. P. 2. Thermal performance figures of merit, J. Electronic Packaging, 2004, Vol. 126, No. 1, P. 8–13.
S. Bouadila, M. Fteïti, M.M. Oueslati, A. Guizani, and A. Farhat, Enhancement of latent heat storage in a rectangular cavity: solar water heater case study, Energy Conversion and Management, 2014, Vol. 78, P. 904–912.
C. Gau, R. Viskanta, and C.J. Ho, Flow visualization during solid–liquid phase change heat transfer II. Melting in a rectangular cavity, Int. Communications in Heat and Mass Transfer, 1983, Vol. 10, No. 3, P. 183–190.
A. Arshad, H.M. Ali, M. Ali, and S. Manzoor, Thermal performance of phase change material (PCM) based pin-finned heat sinks for electronics devices: effect of pin thickness and PCM volume fraction, Applied Thermal Engng, 2017, Vol. 112, P. 143–155.
L.W. Fan, Y.Q. Xiao, Y. Zeng, X. Fang, X. Wang, X. Xu, Z.T. Yu, R.H. Hong, Y.C. Hu, and K.F. Cen, Effects of melting temperature and the presence of internal fins on the performance of a phase change material (PCM)–based heat sink, Int. J. Thermal Sci., 2013, Vol. 70, P. 114–126.
T. Kousksou, M. Mahdaoui, A. Ahmed, and A. Ait Msaad, Melting over a wavy surface in a rectangular cavity heated from below, Energy, 2014, Vol. 64, P. 212–219.
K.C. Nayak, S.K. Saha, K. Srinivasan, and P. Dutta, A numerical model for heat sinks with phase change materials and thermal conductivity enhancers, Int. J. Heat Mass Transfer, 2006, Vol. 49, P. 1833–1844.
R. Pakrouh, M.J. Hosseini, A.A. Ranjbar, and R. Bahrampoury, A numerical method for PCM-based pin fin heat sinks optimization, Energy Conversion and Management, 2015, Vol. 103, P. 542–552.
X.Q. Wang, C. Yap, and A.S. Mujumdar, A parametric study of phase change material (PCM)-based heat sinks, Int. J. Thermal Sci., 2008, Vol. 47, P. 1055–1068.
S.F. Hosseinizadeh, F.L. Tan, and S.M. Moosania, Experimental and numerical studies on performance of PCM-based heat sink with different configurations of internal fins, Appl. Thermal Engng, 2011, Vol. 31, P. 3827–3838.
Numerical Investigations of Natural Convection Flows of Solidifying Liquid, V.F. Strizhov (Ed.) (Trudy IBRAE RAN. Issue 2), Nauka, Moscow, 2007.
N.S. Bondareva and M.A. Sheremet, Mathematical simulation of melting inside a square cavity with a local heat source, Thermophysics and Aeromechanics, 2016, Vol. 23, No. 4, P. 553–565.
N.S. Bondareva and M.A. Sheremet, Natural convection heat transfer combined with melting process in a cubical cavity under the effects of uniform inclined magnetic field and local heat source, Int. J. Heat Mass Transfer, 2017, Vol. 108, P. 1057–1067.
G.V. Kuznetsov and M.A. Sheremet, Conjugate natural convection in a closed domain containing a heat-releasing element with a constant heat-release density, J. Appl. Mech. Tech. Phys., 2010, Vol. 51, No. 5, P. 699–712.
N.S. Bondareva and M.A. Sheremet, Effect of inclined magnetic field on natural convection melting in a square cavity with a local heat source, J. Magnetism and Magnetic Materials, 2016, Vol. 419, P. 476–484.
Author information
Authors and Affiliations
Corresponding author
Additional information
The work was financially supported by the Russian Science Foundation (Agreement No. 17-79-20141).
Rights and permissions
About this article
Cite this article
Bondareva, N.S., Sheremet, M.A. Numerical investigation of the two-dimensional natural convection inside the system based on phase change material with a source of volumetric heat generation. Thermophys. Aeromech. 25, 525–537 (2018). https://doi.org/10.1134/S0869864318040066
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0869864318040066