Scaling Group Transformation under the Effect of Thermal Radiation Heat Transfer of a Non-Newtonian Power-Law Fluid over a Vertical Stretching Sheet with Momentum Slip Boundary Condition

Abstract

An analysis is conducted to study the problem of heat transfer with thermal radiation effect of a non-Newtonian power-law fluid over a vertical stretching sheet with momentum slip boundary condition. The partial differential equations governing the physical situation are converted into a set of nonlinear coupled ordinary differential equations using scaling group of transformation. These equations are then solved numerically using the Runge–Kutta–Fehlberg fourth-fifth order numerical method under Maple 13. The radiation parameter leads to increased velocity and temperature, but it decreases the rate of heat transfer and skin friction coefficient for both Newtonian and non-Newtonian fluid. The velocity decreases, whereas the temperature increases with momentum slip parameter for Newtonian and non-Newtonian. The skin friction coefficient decreases with both momentum slip and power-law parameter. The rate of heat transfer falls with momentum slip, but rises with power-law parameter. Good agreement is found between the numerical results of this paper with published results both for Newtonian and non-Newtonian fluid.