%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