Heat Transfer Analyses for Falkner-Skan Boundary Layer Flow (BLF) past a Static Wedge with respect to Velocity Slip Condition and Temperature-Dependent Thermal Conductivity

Abstract

This article is mainly studying the heat transfer for Falkner-Skan BLF passing a wedge, by considering N and A, they are: slip condition and variable thermal conductivity respectively. So, by using scaling group of transformation technique, the BLEs that are governing the problem has been transformed to a set of ODEs. Then, by using Runge–Kutta–Fehlberg method, the system is solved numerically to obtain that the heat transfer rate and the fluid temperature are decreasing whenever the A increase. Also, there is an increase of the N to increase the rate of the heat transfer and velocity as well. N is also decreasing both of the shear stress coefficient and temperature. Nevertheless, the shear stress coefficient and the velocity rate of the heat transfer respectively are increasing with m while the fluid temperature decreases with m, such that, m is the Falkner-Skan power law parameter. A compression is done between the results obtained at the end of this paper with previous published results.