TY  - EJOU
AU  - Ibrahim, Wubshet 
AU  - Shankar, Bandari 

TI  - THE EFFECTS OF THERMAL RADIATION AND NON-UNIFORM HEAT SOURCE/SINK ON STRETCHING SHEET EMBEDDED IN NON-DARCIAN POROUS MEDIUM
T2  - Frontiers in Heat and Mass Transfer

PY  - 2016
VL  - 7
IS  - 1
SN  - 2151-8629

AB  - The Numerical analysis of magneto-hydrodynamics (MHD) boundary layer flow and heat transfer of incompressible, viscous and electrically conducting fluid is presented. The flow is due to continuously stretching permeable surface embedded in non-Darcian porous medium in the presence of
transverse magnetic field, thermal radiation and non-uniform heat source/sink. The flow equations in the porous medium are governed by ForchheimerBrinkman extended Darcy model. A similarity transformation is used to transform partial differential equations into a coupled higher order non-linear
ordinary differential equations. These equations are solved numerically using implicit finite difference scheme called Keller-Box method. The effects
of the governing parameters on velocity and temperature are computed, analyzed and discussed. Moreover, the numerical results for the local skin
friction coefficient and local Nusselt number are computed for various physical parameters governing the flow problem. It is found that increasing
Darcy number accelerates the flow but increasing Forchhiemer number causes deceleration in the flow. The findings of the present study reveal that
an increase in the radiation, heat source and Forchheimer number increases the thermal boundary layer thickness. The results under the limiting case
were compared with the previously published work and found to be in good agreement.
KW  - Heat Transfer
KW  -  Boundary-Layer flow
KW  -  Non-Uniform Heat source or Sink
KW  -  Stretching Surface
KW  -  Implicit finite difference (Keller-Box ) Method
KW  -  Non-Darcy Porous Medium

DO  - 10.5098/hmt.7.37