%0 Journal Article %A Moorthy, M. B. K. %A Thangavelu, Kannan %A Senthilvadivu, K. %D 2017 %I Begell House %K free convection, thermal stratification, non-Newtonian, variable viscosity, porous medium, internal heat generation %N 1 %P 9-22 %R 10.1615/HeatTransRes.2016008318 %T FREE CONVECTION IN NON-NEWTONIAN POWER-LAW FLUIDS ALONG A VERTICAL PLATE WITH VARIABLE VISCOSITY AND THERMAL STRATIFICATION IN THE PRESENCE OF INTERNAL HEAT GENERATION %U https://www.dl.begellhouse.com/journals/46784ef93dddff27,293227985b205145,776698cc516a5f0a.html %V 48 %X An investigation has been carried out to discuss the effects of variable viscosity and thermal stratification in the presence of internal heat generation on free convection flow along a nonisothermal vertical plate. The plate is semi-infinite and embedded in a porous medium which is saturated with a non-Newtonian power-law fluid. The governing equations of continuity, momentum, and energy are transformed into nonlinear ordinary differential equations using similarity transformations. The Runge−Kutta−Gill method and shooting technique are employed to solve the resulting equations. For the nonisothermal plate, the heat transfer rate increases as θc → 0 for liquids, whereas it decreases for gases as θc → 0 due to the thermal stratification in the presence of internal heat generation. The velocity decreases near the plate and increases away from the plate as θc → 0 for gases. In the case of liquids, the result is reversed. The obtained results are depicted graphically for different parameters involved. %8 2016-11-10