Passive Control of Nanoparticles on MHD Jeffrey Nanofluid past a Convectively Heated Moving Plate with Thermal Radiation

Abstract

A theoretical study is conducted to investigate the thermal radiation effect on boundary layer flow of magneto-hydrodynamic (MHD) Jeffrey nanofluid across a moving plate with convective boundary condition. More physically acceptable model of passively controlled wall nanoparticle concentration is executed. Similarity transformation variables are utilised to transform the partial differential equations to non-linear ordinary differential equations. An effective Runge-Kutta Fehlberg Fourth-Fifth order (RKF45) method is employed to solve the obtained equations numerically. Validation of the present results has been made with the existing studies under the limiting cases and the results are found to be in a good agreement. Numerical solutions for several pertinent parameters are provided graphically over specified distributions. The results indicate that the temperature profile intensifies attributable to the increasing thermal radiation parameter. Besides, the increase of Brownian motion parameter pronounces negligible effect on the temperature profile, whereas nanoparticle concentration profile declines. Moreover, increment in the thermophoresis diffusion parameter results in the escalation of the temperature and nanoparticle concentration profiles.