Heat transfer analysis of Jeffery fluid flow over a stretching sheet with suction/injection and magnetic dipole effect

Abstract

The purpose of the present paper was to investigate the flow and heat transfer of Jeffery fluid past a linearly stretching sheet with the effect of a magnetic dipole. The governing differential equations of motion and heat transfer are transformed into nonlinear coupled ordinary differential equations (ODEs) using appropriate similarity transformations. Then the ODEs are solved by adopting two different schemes, Runge–Kutta with shooting technique and series solution based on GA and NM. The effect of various physical parameters including ferromagnetic interaction parameter (β), Deborah number (γ1), Prandtl number (Pr), suction/injection parameter (S), ratio of relaxation to retardation times (λ2) on velocity and temperature profiles is illustrated graphically and in tabular form by considering two types of thermal process namely prescribed surface temperature (PST) and prescribed heat flux (PHF). Comparison with available results for particular cases is found an excellent agreement.