Lie group analysis of upper convected Maxwell fluid flow along stretching surface

Abstract

In this article, significance of inclined magnetohydrodynamic flow of an upper-convected Maxwell (UCM) liquid along a penetrable stretched plate is explored. Heat transfer phenomenon is studied with heat generation and absorption effect. We utilize Lie group methodology for adaptation of non-linear differential equations and calculate its absolute invariants explicitly. A numerical method, namely the fourth-order Runge Kutta algorithm with shooting technique is used to solve non-linear ordinary differential equations along with boundary conditions. Velocity profiles for flow of Newtonian and UCM liquid are compared. Plots reflecting effect of inclined and non-inclined MHD for the variations of various parameters are explored and examined. It is observed that oposite behaviour occurs corresponding to heat absorption and generation parameter for both cases of inclination and non-inclination MHD.

Keywords

• Lie group analysis
• Upper convected Maxwell model
• Inclined MHD
• Heat generation/absorption