Effect of Uniform Magnetic Field on Melting at Various Rayleigh Numbers
Melting phenomena occurs in various industrial applications, such as metal castings of turbine blades, environmental engineering, PCM-based thermal storage devices, etc. During the design of these devices, they are designed for efficient heat transfer rate. To improve the heat transfer rate, understanding of the important flow processes during the melting (and solidification) is necessary. An objective of the present work is to study the effect of natural convection and magnetic field on interface morphology and thereby on melting rate. In this work, therefore, an effect of uniform transverse magnetic field on the melting inside a cavity, filled initially with solid gallium, at various Rayleigh numbers (Ra=3×105, 6×105, and 9×105) is presented. A 2D unsteady numerical simulation, with the enthalpy-porosity formulation, is performed using ANSYS-Fluent. The magnetic field is characterized by the Hartmann number (Ha) and the results are shown for the Ha = 0, 30 and 50. The horizontal walls of the cavity are considered insulated and vertical walls are respectively considered hot and cold. It is observed that the role of natural convection during the melting is significant on the temperature distribution and solid-liquid interface. The increased magnetic field (Ha = 30 and 50) found to have a suppressing effect on the dominance of natural convection at all Rayleigh numbers (Ra=3×105, 6×105, and 9×105).
Ostrach, S. “Natural Convection in Enclosures.” Journal of Heat Transfer 110, no. 4b (1988): 1175. doi:10.1115/1.3250619.
Gau, C., and R. Viskanta. “Melting and Solidification of a Pure Metal on a Vertical Wall.” Journal of Heat Transfer 108, no. 1 (1986): 174. doi:10.1115/1.3246884.
Dadzis, K., G. Lukin, D. Meier, P. Bönisch, L. Sylla, and O. Pätzold. “Directional Melting and Solidification of Gallium in a Traveling Magnetic Field as a Model Experiment for Silicon Processes.” Journal of Crystal Growth 445 (July 2016): 90–100. doi:10.1016/j.jcrysgro.2016.03.037.
Brent, A. D., V. R. Voller, and K. J. Reid. “Enthalpy-Porosity Technique for Modeling Convection-Diffusion Phase Change: Application to the Melting of a Pure Metal.” Numerical Heat Transfer 13, no. 3 (April 1988): 297–318. doi:10.1080/10407788808913615.
Bertrand, Olivier, Bruno Binet, Hervé Combeau, Stéphane Couturier, Yves Delannoy, Dominique Gobin, Marcel Lacroix, et al. “Melting Driven by Natural Convection A Comparison Exercise: First Results.” International Journal of Thermal Sciences 38, no. 1 (January 1999): 5–26. doi:10.1016/s0035-3159(99)80013-0.
Farsani, Rouhollah Yadollahi, Afrasiab Raisi, Afshin Ahamadi Nadooshan, and Srinivas Vanapalli. “The Effect of a Magnetic Field on the Melting of Gallium in a Rectangular Cavity.” Heat Transfer Engineering 40, no. 1–2 (December 22, 2017): 53–65. doi:10.1080/01457632.2017.1404821.
Rady, M. A., and A. K. Mohanty. "Natural convection during melting and solidification of pure metals in a cavity." Numerical Heat Transfer, Part A Applications 29, no. 1 (1996): 49-63. doi:10.1080/10407789608913778.
Bucchignani, Edoardo. "An implicit unsteady finite volume formulation for natural convection in a square cavity." Fluid Dyn. Mater. Process 5, no. 1 (2009): 37-60. doi:10.3970/fdmp.2009.005.037.
Joulin, Annabelle, Zohir Younsi, Laurent Zalewski, Daniel R. Rousse, and Stéphane Lassue. “A Numerical Study of the Melting of Phase Change Material Heated from a Vertical Wall of a Rectangular Enclosure.” International Journal of Computational Fluid Dynamics 23, no. 7 (August 2009): 553–566. doi:10.1080/10618560903203723.
Ben-David, O., A. Levy, B. Mikhailovich, M. Avnaim, and A. Azulay. “Impact of Traveling Permanent Magnets on Low Temperature Metal Melting in a Cuboid.” International Journal of Heat and Mass Transfer 99 (August 2016): 882–894. doi:10.1016/j.ijheatmasstransfer.2016.04.017.
Kang, Sarah, Kwi-Seok Ha, Hyoung Tae Kim, Ji Hyun Kim, and In Cheol Bang. “An Experimental Study on Natural Convection Heat Transfer of Liquid Gallium in a Rectangular Loop.” International Journal of Heat and Mass Transfer 66 (November 2013): 192–199. doi:10.1016/j.ijheatmasstransfer.2013.07.026.
Bondareva, Nadezhda S., and Mikhail A. Sheremet. “Effect of Inclined Magnetic Field on Natural Convection Melting in a Square Cavity with a Local Heat Source.” Journal of Magnetism and Magnetic Materials 419 (December 2016): 476–484. doi:10.1016/j.jmmm.2016.06.050.
Juel, A., T. Mullin, H. Ben Hadid, and D. Henry. “Magnetohydrodynamic Convection in Molten Gallium.” Journal of Fluid Mechanics 378 (January 10, 1999): 97–118. doi:10.1017/s0022112098003061.
Xu, B., B.Q. Li, and D.E. Stock. “An Experimental Study of Thermally Induced Convection of Molten Gallium in Magnetic Fields.” International Journal of Heat and Mass Transfer 49, no. 13–14 (July 2006): 2009–2019. doi:10.1016/j.ijheatmasstransfer.2005.11.033.
Sathiyamoorthy, M., and Ali J. Chamkha. “Natural Convection Flow Under Magnetic Field in a Square Cavity for Uniformly (or) Linearly Heated Adjacent Walls.” International Journal of Numerical Methods for Heat & Fluid Flow 22, no. 5 (June 8, 2012): 677–698. doi:10.1108/09615531211231307.
Ghalambaz, Mohammad, Ali Doostanidezfuli, Hossein Zargartalebi, and Ali J. Chamkha. “MHD Phase Change Heat Transfer in an Inclined Enclosure: Effect of a Magnetic Field and Cavity Inclination.” Numerical Heat Transfer, Part A: Applications 71, no. 1 (January 2, 2017): 91–109. doi:10.1080/10407782.2016.1244397.
Avnaim, M.H., B. Mikhailovich, A. Azulay, and A. Levy. “Numerical and Experimental Study of the Traveling Magnetic Field Effect on the Horizontal Solidification in a Rectangular Cavity Part 1: Liquid Metal Flow Under the TMF Impact.” International Journal of Heat and Fluid Flow 69 (February 2018): 23–32. doi:10.1016/j.ijheatfluidflow.2017.11.003.
Avnaim, M.H., B. Mikhailovich, A. Azulay, and A. Levy. “Numerical and Experimental Study of the Traveling Magnetic Field Effect on the Horizontal Solidification in a Rectangular Cavity Part 2: Acting Forces Ratio and Solidification Parameters.” International Journal of Heat and Fluid Flow 69 (February 2018): 9–22. doi:10.1016/j.ijheatfluidflow.2017.11.004.
Kaneda, Masayuki, Toshio Tagawa, and Hiroyuki Ozoe. “Natural Convection of Liquid Metal Under a Uniform Magnetic Field with an Electric Current Supplied from Outside.” Experimental Thermal and Fluid Science 30, no. 3 (January 2006): 243–252. doi:10.1016/j.expthermflusci.2005.07.001.
Zaïdat, Kader, Nathalie Mangelinck-Noël, and René Moreau. “Control of Melt Convection by a Travelling Magnetic Field During the Directional Solidification of Al–Ni Alloys.” Comptes Rendus Mécanique 335, no. 5–6 (May 2007): 330–335. doi:10.1016/j.crme.2007.05.010.
Doostani, Ali, Mohammad Ghalambaz, and Ali J. Chamkha. “MHD Natural Convection Phase-Change Heat Transfer in a Cavity: Analysis of the Magnetic Field Effect.” Journal of the Brazilian Society of Mechanical Sciences and Engineering 39, no. 7 (February 8, 2017): 2831–2846. doi:10.1007/s40430-017-0722-z.
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