MHD BOUNDARY-LAYER FLOW AND HEAT TRANSFER OVER PERMEABLE PLATE WITH CONVECTIVE SURFACE BOUNDARY CONDITION

2013 ◽  
Vol 05 (01) ◽  
pp. 1350021 ◽  
Author(s):  
WUBSHET IBRAHIM ◽  
BANDARI SHANKER
Keyword(s):  
Boundary Layer ◽  
Boundary Condition ◽  
Heat Source ◽  
Surface Boundary ◽  
Flow And Heat Transfer ◽  
Mhd Boundary Layer ◽  
Surface Boundary Condition ◽  
Layer Flow ◽  
Source Sink ◽  
Mhd Boundary Layer Flow

A numerical analysis has been carried out to investigate the problem of magnetohydrodynamic (MHD) boundary-layer flow and heat transfer of a viscous incompressible fluid over a fixed plate. Convective surface boundary condition is taken into account for thermal boundary condition. A problem formulation is developed in the presence of thermal radiation, magnetic field and heat source/sink parameters. A similarity transformation is used to reduce the governing boundary-layer equations to couple higher-order nonlinear ordinary differential equations. These equations are numerically solved using Keller–Box method. The effect of the governing parameters such as radiation, Prandtl number, Hartman number, heat source/sink parameter on velocity and temperature profile is discussed and shown by plotting graphs. It is found that the temperature is an increasing function of convective parameter A, radiation and heat source parameters. Besides, the numerical results for the local skin friction coefficient and local Nusselt number are computed and presented in tabular form. Finally a comparison with a previously published results on a special case of the problem has done and shows excellent agreement.

scholarly journals Three-dimensional MHD boundary layer flow due to an axisymmetric shrinking sheet with radiation, viscous dissipation and heat source/sink

2016 ◽  
Vol 21 (2) ◽  
pp. 393-406
Author(s):  
M. Madhu ◽  
B. Balaswamy ◽  
N. Kishan
Keyword(s):  
Boundary Layer ◽  
Differential Equations ◽  
Heat Source ◽  
Boundary Layer Flow ◽  
Three Dimensional ◽  
Shrinking Sheet ◽  
Mhd Boundary Layer ◽  
Layer Flow ◽  
Source Sink ◽  
Mhd Boundary Layer Flow

AbstractAn analysis is made to study a three dimensional MHD boundary layer flow and heat transfer due to a porous axisymmetric shrinking sheet. The governing partial differential equations of momentum and energy are transformed into self similar non-linear ordinary differential equations by using the suitable similarity transformations. These equations are, then solved by using the variational finite element method. The flow phenomena is characterised by the magnetic parameterM, suction parameterS, porosity parameterKp, heat source/sink parameterQ, Prandtl number Pr, Eckert number Ec and radiation parameterRd. The numerical results of the velocity and temperature profiles are obtained and displayed graphically.

Effects of Non-Uniform Heat Source/Sink and Viscous Dissipation on MHD Boundary Layer Flow of Williamson Nanofluid through Porous Medium

2018 ◽  
Vol 389 ◽  
pp. 110-127 ◽  
Author(s):  
Kharabela Swain ◽  
Sampada Kumar Parida ◽  
G.C. Dash
Keyword(s):  
Magnetic Field ◽  
Boundary Layer ◽  
Porous Medium ◽  
Heat Source ◽  
Viscous Dissipation ◽  
Boundary Layer Flow ◽  
Mhd Boundary Layer ◽  
Layer Flow ◽  
Source Sink ◽  
Mhd Boundary Layer Flow

The effects of non-uniform heat source/sink and viscous dissipation on MHD boundary layer flow of Williamson nanofluid through porous medium under convective boundary conditions are studied. Surface transport phenomena such as skin friction, heat flux and mass flux are discussed besides the three boundary layers. The striking results reported as: increase in Williamson parameter exhibiting nanofluidity and external magnetic field lead to thinning of boundary layer, besides usual method of suction and shearing action at the plate, a suggestive way of controlling the boundary layer growth. It is easy to implement to augment the strength of magnetic field by regulating the voltage in the circuit. Also, addition of nano particle to the base fluid serves as an alternative device to control the growth of boundary layer and producing low friction at the wall. The present analysis is an outcome of Runge-Kutta fourth order method with a self corrective procedure i.e. shooting method.

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