Magnetic field effects upon heat transfer for laminar flow of electrically conducting liquid over a melting slab

• Published in: International journal of heat and mass transfer Vol. 46; no. 9; pp. 1599 - 1605
• Main Authors: Seeniraj, R.V., Kannan, N.P.
• Format: Journal Article
• Language: English
• Published: Oxford Elsevier Ltd 01-04-2003; Elsevier
• Subjects: Exact sciences and technology; Fluid dynamics; Fundamental areas of phenomenology (including applications); Heat flow in porous media; Heat transfer; Heat transfer in inhomogeneous media, in porous media, and through interfaces; Magnetohydrodynamics and electrohydrodynamics; Physics; MHD flow; Liquid solid interface; Laminar boundary layer; Melting; Digital simulation; Magnetic field effects; Modelling; Velocity distribution; Conducting fluid; Plates; Heat transfer
• ISSN: 0017-9310; 1879-2189
• DOI: 10.1016/S0017-9310(02)00436-2

A mathematical model is presented to study the role of an applied magnetic field on heat transfer during melting of a semi-infinite slab swept by a laminar flow of an electrically conducting liquid. The integral forms of the governing equations were solved by taking into account the sensitivity of the velocity profile to the magnetic field. Numerical results were obtained for a specified set of characteristic dimensionless numbers, i.e. Reynolds number, Prandtl number, Stefan numbers and magnetic parameter and their influence on heat transfer and melt generation is reported.