APPLICATION OF LIE GROUP ANALYSIS IN MAGNETO-TANGENT HYPERBOLIC FLUID FLOW OVER A POROUS ELONGATED SHEET WITH TEMPERATURE- RELIANT THERMAL CONDUCTIVITY

Abstract

An investigation of an electrically conducting hyperbolic tangent fluid motion along a porous sheet which stretches vertically upward with temperature-reliant thermal conductivity was scrutinized in this study. The current model characterizes thermal radiation and the impact of internal heat source in the heat equation plus velocity and thermal slipperation at the wall. The translation of the transport equations was carried out via the scaling Lie group technique and the resultant equations were numerically tackled by means of shooting method plus Runge-Kutta Fehlberg integration scheme. The results were publicized through various graphs to showcase the reactions of the parameters on the thermal and velocity fields. From these investigations, it was found that escalating values of the material Weissenberg number, slip and suction terms depleted the hydrodynamic boundary film whereas the heat field improved directly with thermal conductivity.