Impact of nonlinear thermal radiation on magnetohydrodynamic three dimensional boundary layer flow of Jeffrey nanofluid over a nonlinearly permeable stretching sheet

The motivation behind the existing paper is to investigate the effect of space and temperature dependent heat generation/absorption, nonlinear thermal radiation on three dimensional magnetohydrodynamic Jeffrey fluid stream over a nonlinearly permeable stretching sheet in the presence of the porous medium. An electrically conducting fluid in the presence of a uniform magnetic field is taken into account. Problem formulation is developed by assuming small magnetic Reynolds number subject to boundary layer theory. The governing partial differential equations are changed to a system of ordinary differential equations. Then obtained equations are solved numerically by applying RKF-45 method. The convergence of its solutions has been verified through plots and numerical data. A detailed parametric study is carried out to explore the effects of various physical parameters on the velocity, temperature, and nanoparticles concentration profiles. Local Nusselt numbers and Sherwood number are tabulated and discussed. Some of the results of the investigation are effect of magnetic field is to suppress the velocity field, which in turn causes the enhancement of the temperature field. Further, temperature and concentration profiles show similar behavior for thermophoresis parameter, but the opposite tendency is noted in the case of Brownian motion parameter. • Three-dimensional flow of Jeffrey fluid with thermophoresis and Brownian motion is examined. • The impacts of nonlinear radiative heat and temperature dependent heat generation/absorption are also accounted. • Numerical solutions are developed of the arising problem via Runge-Kutta based shooting approach. • Exploration of the impacts of pertinent parameters on velocity, temperature fields are performed via graphical illustrations.