Impacts of multiple slip on magnetohydrodynamic Williamson and Maxwell nanofluid over a stretching sheet saturated in a porous medium

Abstract

This study addresses the magnetohydrodynamic boundary layer with multiple slip conditions on Williamson and Maxwell nanofluid across a stretching sheet saturated in a porous medium. Due to the existence of nanoparticles, Brownian motion and thermophoresis effects are assumed. Here, we considered the impact of thermal radiation, viscous dissipation, Ohmic heating, and chemical reaction. The governing Partial Differential Equations (PDEs) are nondimensionalized using suitable similarity conversions and transmuted into nonlinear Ordinary Differential Equations (ODEs). Solutions are acquired numerically using the bvp4c solver in MATLAB. Moreover, the relevant physical parameters like magnetic, permeability, Brownian motion, Prandtl and Eckert number, radiation, thermophoresis, and chemical reaction on velocity, temperature, and concentration fields are depicted graphically. We perceived that augments in magnetic and permeability parameters cause a downfall in the velocity profile, while the opposite trend is notable for the remaining profiles. Velocity declines when escalating the Williamson and Maxwell parameter values. Results show that increasing velocity, thermal, and concentration slip parameters reduce the relevant profiles. Skin friction increases for increasing values of the Williamson, Maxwell, and suction parameters, whereas other parameters exhibit the opposite trend. A dual solution is performed for the velocity and temperature profiles with and without suction. Our current solution has been compared with existing literature and is determined to be in perfect accord.

Keywords:

• Multiple slip
• porous medium
• stretching sheet
• Williamson nanofluid 
• Maxwell nanofluid

Disclosure statement

No potential conflict of interest was reported by the authors.