Eyring-Powell Fluid Flow Past a Shrinking Sheet: Effect of Magnetohydrodynamic (MHD) and Joule Heating

Abstract

This paper examines the effect of magnetohydrodynamic (MHD) on Eyring-Powell fluid flow over a shrinking sheet. The sheet is permeable and it is shrunk with power-law velocity. By employing the suitable similarity transformations, the governing equations are transformed into the similarity equations, and MATLAB software is used to program the code with the aid of the bvp4c function. Results reveal that the magnetic and the suction parameters raise both the velocity and temperature gradients, which consequently increases the skin friction and the heat transfer coefficients. However, these physical quantities are reduced with the Eyring-Powell fluid parameter. The domain of the solutions is affected by the rise of the magnetic and the Eyring-Powell fluid parameters. From the stability analysis, the second solution is unstable while the first solution is stable over time.