Melting heat transfer analysis on magnetohydrodynamics buoyancy convection in an enclosure : a numerical study

Venkatadri, K; Abdul Gaffar, S; Reddy, MS; Prasad, VR; Khan, MH; Beg, OA

Abstract

Therollof melting heat transfer on magnetohydrodynamic natural convection in a square enclosurewithheatingof the bottom wall is examinednumericallyin this article.The dimensionlessgoverning partial differential equations are transformed into vorticity and stream functionformulationand then solved using the finite difference method(FDM). The effects of thermal Rayleigh number(Ra), melting parameter(M) and Hartmann number(Ha) are illustrated graphically.With an increasing melting parameter and Rayleigh number, the rate of fluid flow and temperature gradients are seen to increase. And in the presence of magnetic field, the temperature gradient reduces and hence the conductionmechanism dominated for larger Ha. Greater heat transfer rate is observed in the case of uniform heating compared with non-uniform case. The average Nusselt number reduces with increasing magnetic parameterin the both cases of heating of bottom wall.

• Journal Article Type: Article
• Acceptance Date: Jun 12, 2019
• Online Publication Date: Jul 6, 2019
• Publication Date: Jan 1, 2020
• Deposit Date: Jun 17, 2019
• Publicly Available Date: Jul 15, 2019
• Journal: Journal of Applied and Computational Mechanics
• Electronic ISSN: 2383-4536
• Volume: 6
• Issue: 1
• Pages: 52-62
• DOI: https://doi.org/10.22055/jacm.2019.28761.1504
• Publisher URL: http://jacm.scu.ac.ir/