Meccanica

, Volume 46, Issue 5, pp 1103–1112

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

Article

DOI: 10.1007/s11012-010-9371-3

Cite this article as:
Ali, F.M., Nazar, R., Arifin, N.M. et al. Meccanica (2011) 46: 1103. doi:10.1007/s11012-010-9371-3

Abstract

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.

Keywords

Stretched flat plateHall effectMagnetohydrodynamicMixed convectionBoundary layer

Nomenclature

a,c

constants

B0

the strength of the imposed magnetic field

Cfx

skin friction coefficient in x-direction

Cfz

skin friction coefficient in z-direction

e

electric charge (C)

f

dimensionless stream function

g

acceleration due to gravity (m s−2)

Grx

local Grashof number

H0

external magnetic field

m

Hall parameter

me

the mass of an electron (kg)

M

magnetic parameter

ne

electron number density

Pr

Prandtl number

Rex

local Reynolds number

T

fluid temperature (K)

Te

electron collision time (s)

Tw

surface temperature (K)

T

ambient temperature (K)

u,v,w

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

uw(x)

velocity of the stretching plate (m s−1)

x,y,z

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

Greek Letters

α

thermal diffusivity (m2 s−1)

β

thermal expansion coefficient (1/K)

λ

constant buoyancy or mixed convection parameter

θ

dimensionless temperature

ν

kinematic viscosity (m2 s−1)

μ

dynamic viscosity (kg m−1 s−1)

μe

magnetic permeability (H m−1)

ρ

fluid density (kg m−3)

τw

wall shear stress (Pa)

Subscripts

w

condition at the surface

ambient condition

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