MHD Natural Convection Flow of Fluids of Different Prandtl Numbers in the Stokes Problem for a Vertical Porous Plate
Reprinted from
FULL PAPER
MHD Natural Convection Flow of Fluids of Different Prandtl Numbers in the Stokes Problem for a Vertical Porous Plate
Basant K. JHA and Clement A. APERE
J. Phys. Soc. Jpn. 81 (2012) 064401
# 2012 The Physical Society of Japan
Person-to-person distribution by the author only. Not permitted for publication for institutional repositories or on personal Web sites.
FULL P APERS
Journal of the Physical Society of Japan 81 (2012) 064401
DOI: 10.1143/JPSJ.81.064401
MHD Natural Convection Flow of Fluids of Different Prandtl Numbers in the Stokes Problem for a Vertical Porous Plate
Basant K. JHAÃ and Clement A. APEREy
Department of Mathematics, Ahmadu Bello University, Zaria, Nigeri
(Received October 19, 2010; accepted April 6, 2012; published online May 23, 2012)
This paper investigates the effects of different Prandtl numbers on the MHD natural convection flow of fluids in the
Stokes problem for the impulsive motion of a porous vertical plate. Both cases of the applied magnetic field being fixed either to the fluid or to the moving plate are considered. Unified closed form expressions are obtained for the temperature and the velocity, which are used to compute the Nusselt number and the skin friction respectively. These equations are solved semi-analytically using the Laplace transform technique along with the Riemann-sum approximation method. The influence of different flow parameters such as Prandtl number, Grashof number and the suction/injection parameter on velocity, temperature, skin friction and the rate of heat transfer are discussed for the two cases (i.e., when the magnetic field is fixed relative to the fluid or to the moving wall) with the aid of graphs. The result obtained through this method is found to be in excellent agreement with earlier results obtained analytically.
KEYWORDS: MHD, natural convection, impulsive motion, suction, Riemann sum approximation
1.
Introduction
The flow of an incompressible
FULL PAPER
MHD Natural Convection Flow of Fluids of Different Prandtl Numbers in the Stokes Problem for a Vertical Porous Plate
Basant K. JHA and Clement A. APERE
J. Phys. Soc. Jpn. 81 (2012) 064401
# 2012 The Physical Society of Japan
Person-to-person distribution by the author only. Not permitted for publication for institutional repositories or on personal Web sites.
FULL P APERS
Journal of the Physical Society of Japan 81 (2012) 064401
DOI: 10.1143/JPSJ.81.064401
MHD Natural Convection Flow of Fluids of Different Prandtl Numbers in the Stokes Problem for a Vertical Porous Plate
Basant K. JHAÃ and Clement A. APEREy
Department of Mathematics, Ahmadu Bello University, Zaria, Nigeri
(Received October 19, 2010; accepted April 6, 2012; published online May 23, 2012)
This paper investigates the effects of different Prandtl numbers on the MHD natural convection flow of fluids in the
Stokes problem for the impulsive motion of a porous vertical plate. Both cases of the applied magnetic field being fixed either to the fluid or to the moving plate are considered. Unified closed form expressions are obtained for the temperature and the velocity, which are used to compute the Nusselt number and the skin friction respectively. These equations are solved semi-analytically using the Laplace transform technique along with the Riemann-sum approximation method. The influence of different flow parameters such as Prandtl number, Grashof number and the suction/injection parameter on velocity, temperature, skin friction and the rate of heat transfer are discussed for the two cases (i.e., when the magnetic field is fixed relative to the fluid or to the moving wall) with the aid of graphs. The result obtained through this method is found to be in excellent agreement with earlier results obtained analytically.
KEYWORDS: MHD, natural convection, impulsive motion, suction, Riemann sum approximation
1.
Introduction
The flow of an incompressible