TY - EJOU
AU - Umeshaiah, M.
AU - Prasannakumara, B.C.
TI - NONLINEAR RADIATIVE HEAT TRANSFER TO CARREAU FLUID OVER A NONLINEAR STRETCHING SHEET IN A POROUS MEDIUM IN THE PRESENCE OF NON-UNIFORM HEAT SOURCE/SINK AND VISCOUS DISSIPATION
T2 - Frontiers in Heat and Mass Transfer
PY - 2017
VL - 9
IS - 1
SN - 2151-8629
AB - This article presents the effect of nonlinear thermal radiation on boundary layer flow and heat transfer of Carreau fluid model over a nonlinear stretching
sheet embedded in a porous medium in the presence of non-uniform heat source/sink and viscous dissipation with convective boundary condition. The
governing partial differential equations with the corresponding boundary conditions are reduced to a set of ordinary differential equations using
similarity transformation, which is then solved numerically by the fourth-fifth order Rungeâ€“Kutta-Fehlberg integration scheme featuring a shooting
technique. The influence of significant parameters such as power law index parameter, Stretching parameter, Weissenberg number, permeability
parameter, temperature ratio parameter, radiation parameter, Biot number, heat source/sink parameters, Eckert number and Prandtl number on the flow
and heat transfer characteristics is discussed. The obtained results shows that for shear thinning fluid the fluid velocity is depressed by the Weissenberg
number while opposite behavior for the shear thickening fluid is observed. A comparison with previously published data in limiting cases is performed
and they are in excellent agreement.
KW - *Carreau fluid model; nonlinear stretching sheet; nonlinear thermal radiation; convective boundary condition; non-uniform heat source/sink; numerical solution.*
DO - 10.5098/hmt.9.4