Numerical solution for MHD Flow of an Oldroyd–B fluid over a stretching sheet in the presence of thermophoresis with chemical reaction effects

Abstract

The magnetohydrodynamic flow of an Oldroyd-B fluid across a vertical stretching sheet through a porous medium is investigated. Using a similarity transformation, the boundary layer equations for momentum, thermal energy, and concentration can be simplified into a set of linked ordinary differential equations. The successive linearization method is then used to numerically solve the system of ordinary differential equations. Graphical and tabular representations of the physical parameter effects on velocity, temperature, concentration profiles, the local skin friction coefficient, and heat and mass transfer rates are provided. Deborah's number in terms of relaxation time has been reported to resist and slow down the motion of fluid particles at different time instants in terms of relaxation time. By raising Deborah's numbers in terms of relaxation time, the temperature profile rises. Additionally, excellent agreement was found after the current results were examined and contrasted with the published results.