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MHD flow and heat transfer over stretching/shrinking sheets with external magnetic field, viscous dissipation and Joule effects
Author(s) -
Jafar Khamisah,
Nazar Roslinda,
Ishak Anuar,
Pop Ioan
Publication year - 2012
Publication title -
the canadian journal of chemical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.404
H-Index - 67
eISSN - 1939-019X
pISSN - 0008-4034
DOI - 10.1002/cjce.20609
Subject(s) - magnetohydrodynamics , nusselt number , laminar flow , magnetohydrodynamic drive , mechanics , boundary layer , stagnation temperature , magnetic field , heat transfer , physics , classical mechanics , thermodynamics , stagnation point , reynolds number , quantum mechanics , turbulence
The present article considers the steady magnetohydrodynamic (MHD) laminar boundary layer flow of a viscous and incompressible electrically conducting fluid near the stagnation point on a horizontal stretching or shrinking surface, with variable surface temperature and a constant magnetic field applied normal to the surface of the sheet. The governing system of partial differential equations is first transformed into a system of ordinary differential equations by introducing an appropriate similarity transformation, which is then solved numerically using a finite‐difference scheme known as the Keller‐box method. The effects of the governing parameters on the skin friction coefficient, the local Nusselt number as well as the velocity and temperature profiles are determined and discussed. Results indicate that for the stretching sheet, solution exists and is unique for all values of the stretching/shrinking parameter $\lambda $ , while for the shrinking sheet, solutions only exist up to some critical values $\lambda = \lambda _{{\rm c}} $ , and these solutions may be unique, dual and sometimes triple. © 2011 Canadian Society for Chemical Engineering