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STEADY MHD MARANGONI CONVECTION FLOW WITH VARIABLE ELECTRICAL CONDUCTIVITY AND EFFECTS OF JOULE HEATING AND VISCOUS DISSIPATION

M.N.Raja Shekar

JNTUH College of Engineering, Nachupally (Kondagattu Village), Karimnagar – 505 501, A.P., India. Email: mamidi71@yahoo.com

ABSTRACT

An analysis is performed to study the effect of temperature dependent electrical conductivity on steady natural convection flow of a viscous incompressible low Prandtl (Pr < < 1) electrically conducting fluid along an isothermal vertical non-conducting plate in the presence of transverse magnetic field and effects of Joule heating and viscous dissipation. The governing equations of continuity, momentum and energy are transformed into ordinary differential equations via the similarity transformations. The resulting coupled non-linear ordinary differential equations are solved using Cranck-Nicolson method. The velocity and temperature distributions are discussed numerically and presented through graphs.

Keywords: Steady, MHD, Marangoni Convection, boundary layer, variable electrical conductivity, joule heating, viscous dissipation.

 


International eJournal of Mathematics and Engineering

Volume 4, Issue 3, Pages:  2164 - 2169