Magnetic field effects on a nonlinear radioactive rate-type fluid impinging obliquely over a heated stretched plate

Abstract

Magnetic fluids with complex rheology are evident in several industrial and manufacturing processes. This study frames applied magnetic field effects on a radioactive rate-type fluid impinging obliquely over a stretched plate. The Oldroyd-B non-Newtonian model is employed, which allows relaxation and retardation effects to be included. The physical framework of the problem under consideration is attained by means of eminent Navier–Stokes theory. The governing physical problem is attained by means of scaling group of transformations, which is then solved numerically. Influence of relatable parameters on normal and tangential velocity and temperature is portrayed. The results revealed that flow and thermal characteristics are significantly affected by sundry parameters. The physical quantity of engineering interest, best known as heat transfer rate, is investigated numerically. It has been observed that thickness of momentum boundary layer decreases with Deborah number K1 and magnetic field parameter M while it enhances with Deborah number K2. Moreover boundary layer thickness related to thermal effects rises due to Deborah number K1 and magnetic field parameter M. The accuracy of the present study is authenticated through excellent agreement with previous literature as a special case.