Heat generation/absorption and thermal radiation impacts on three-dimensional flow of Carreau fluid with convective heat transfer

Abstract

The current article numerically investigates the three-dimensional flow and heat transport caused by a bidirectional stretching sheet. One phenomenal aspect of this review is to consider the impacts of infinite shear rate viscosity. For this reason, Carreau rheological model is accounted as a working liquid for the flow mechanism. In addition, heat transport features of the flow fields have been inspected by utilizing the impacts of magnetic field, thermal radiation and heat generation/absorption. We have incorporated the appropriate dimensionless transformations to alter the basic conservation equations into a set of partially couples ODEs. The associated system of reduced ODEs together with physical boundary restrictions are numerically integrated via versatile and extensively validated, Runge-Kutta Fehlberg method. The problem is governed by active physical parameters, such as, viscosity ratio parameter, Hartmann number, Weissenberg number, nonlinear radiation parameter, heat generation/absorption parameter, Biot number, Prandtl number and temperature ratio parameter. We exhibit and explain the impacts of these active parameters on dimensionless fluid velocity, fluid temperature, skin friction and Nusselt number by means of tables and graphs. From this study, it is observed that fluid velocity is depressed by higher Hartmann number, however, a reverse trend is noted for fluid temperature.