scholarly journals The HPM Applied to MHD Nanofluid Flow over a Horizontal Stretching Plate

2011 ◽  
Vol 2011 ◽  
pp. 1-17 ◽  
Author(s):  
S. S. Nourazar ◽  
M. Habibi Matin ◽  
M. Simiari
Keyword(s):  
Boundary Layer ◽  
Homotopy Perturbation Method ◽  
Nonlinear Boundary ◽  
Mhd Flow ◽  
Variable Magnetic Field ◽  
Convection Boundary Layer ◽  
Nanofluid Flow ◽  
Box Scheme ◽  
Convection Boundary ◽  
Stretching Plate

The nonlinear two-dimensional forced-convection boundary-layer magneto hydrodynamic (MHD) incompressible flow of nanofluid over a horizontal stretching flat plate with variable magnetic field including the viscous dissipation effect is solved using the homotopy perturbation method (HPM). In the present work, our results of the HPM are compared with the results of simulation using the finite difference method, Keller's box-scheme. The comparisons of the results show that the HPM has the capability of solving the nonlinear boundary layer MHD flow of nanofluid with sufficient accuracy.

scholarly journals Forced convection boundary layer MHD flow of nanofluid over a permeable stretching plate with viscous dissipation

2014 ◽  
Vol 18 (suppl.2) ◽  
pp. 587-598 ◽  
Author(s):  
Matin Habibi ◽  
Pouyan Jahangiri
Keyword(s):  
Boundary Layer ◽  
Brownian Motion ◽  
Forced Convection ◽  
Volume Fraction ◽  
Solid Volume Fraction ◽  
Mhd Flow ◽  
Dimensionless Temperature ◽  
Convection Boundary Layer ◽  
Convection Boundary ◽  
Stretching Plate

Forced convection boundary layer magneto-hydrodynamic (MHD) flow of a nanofluid over a permeable stretching plate is studied in this paper. The effects of suction-injection and viscous dissi1pation are taken into account. The nanofluid model includes Brownian motion and thermophoresis effects. The governing momentum, energy and nanofluid solid volume fraction equations are solved numerically using an implicit finite difference scheme known as Keller-box method and the results are compared with available numerical data. The results for the dimensionless velocity, dimensionless temperature, dimensionless nanofluid solid volume fraction, reduced Nusselt and reduced Sherwood numbers are presented illustrating the effects of magnetic parameter, suction-injection parameter, Brownian motion parameter, thermophoresis parameter, Prandtl number, Eckert number and Lewis number.

scholarly journals Separation Points of Magneto-hydrodynamic Boundary Layer Flow Along a Vertical Plate with Exponentially Decreasing Free Stream Velocity

1970 ◽  
Vol 5 (1) ◽  
pp. 11-18 ◽  
Author(s):  
MA Alim ◽  
MM Rahman ◽  
MM Karim
Keyword(s):  
Magnetic Field ◽  
Boundary Layer ◽  
Vertical Plate ◽  
Free Stream ◽  
Stream Velocity ◽  
Convection Boundary Layer ◽  
Boundary Layer Equations ◽  
Box Scheme ◽  
Convection Boundary ◽  
Layer Flow

The points of separation of magneto-hydrodynamic mixed convection boundary layer flow along a vertical plate have been investigated. The free stream velocity is considered decreasing exponentially in the stream wise direction. The governing boundary layer equations are transformed into a non-dimensional form and the resulting nonlinear system of partial differential equations are reduced to local non-similar boundary layer equations, which are solved numerically by implicit finite difference method known as Keller box scheme. Here we have focused our attention to find the effects of suction, magnetic field and other relevant physical parameters on the position of boundary layer separation. The numerical results are expressed in terms of local shear stress showing the effects of suction, buoyancy, Prandlt number and magnetic field on the shear stress as well as on the points of separation. Keywords: Separation points, magneto-hydrodynamic, mixed convection, boundary layer, suction, finite difference method, Keller box scheme.   doi:10.3329/jname.v5i1.1868Journal of Naval Architecture and Marine Engineering Vol. 5, No. 1 (June, 2008) 11-18. 

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