, Volume 46, Issue 5, pp 1103–1112 | Cite as

Effect of Hall current on MHD mixed convection boundary layer flow over a stretched vertical flat plate



In this paper, the steady magnetohydrodynamic (MHD) mixed convection boundary layer flow of an incompressible, viscous and electrically conducting fluid over a stretching vertical flat plate is theoretically investigated with Hall effects taken into account. The governing equations are solved numerically using an implicit finite-difference scheme known as the Keller-box method. The effects of the magnetic parameter, the Hall parameter and the buoyancy parameter on the velocity profiles, the cross flow velocity profiles and the temperature profiles are presented graphically and discussed. Investigated results indicate that the Hall effect on the temperature is small, and the magnetic field and Hall currents produce opposite effects on the shear stress and the heat transfer at the stretching surface.


Stretched flat plate Hall effect Magnetohydrodynamic Mixed convection Boundary layer 





the strength of the imposed magnetic field


skin friction coefficient in x-direction


skin friction coefficient in z-direction


electric charge (C)


dimensionless stream function


acceleration due to gravity (m s−2)


local Grashof number


external magnetic field


Hall parameter


the mass of an electron (kg)


magnetic parameter


electron number density


Prandtl number


local Reynolds number


fluid temperature (K)


electron collision time (s)


surface temperature (K)


ambient temperature (K)


velocity components along the x, y and z directions, respectively (m s−1)


velocity of the stretching plate (m s−1)


Cartesian coordinates along the stretching surface, normal to it, and transverse to the xy plane, respectively (m)

Greek Letters


thermal diffusivity (m2 s−1)


thermal expansion coefficient (1/K)


constant buoyancy or mixed convection parameter


dimensionless temperature


kinematic viscosity (m2 s−1)


dynamic viscosity (kg m−1 s−1)


magnetic permeability (H m−1)


fluid density (kg m−3)


wall shear stress (Pa)



condition at the surface

ambient condition


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Copyright information

© Springer Science+Business Media B.V. 2010

Authors and Affiliations

  1. 1.Department of MathematicsUniversiti Putra MalaysiaUPM SerdangMalaysia
  2. 2.School of Mathematical Sciences, Faculty of Science & TechnologyUniversiti Kebangsaan MalaysiaUKM BangiMalaysia
  3. 3.Department of Mathematics & Institute for Mathematical ResearchUniversiti Putra MalaysiaUPM SerdangMalaysia
  4. 4.Faculty of MathematicsUniversity of ClujClujRomania

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