Magneto-hydrodynamic flow of Reiner-Philippoff fluid: Stability analysis

Abstract

Abstract Analysis of magneto-hydrodynamic flow of classical non-Newtonian fluid, Reiner-Philippoff fluid, over magnetized plate is conducted numerically in this article. The mathematical model incorporates the non-linear stress deformation behavior of Reiner-Philippoff fluid and set of Maxwell’s equations to discuss the behavior of non-Newtonian fluid in a magnetic field. Boundary layer equations are obtained assuming the Reynolds and magnetic Reynolds numbers to be large enough for magnetic and momentum boundary layers to have developed. The correlation expressions for skin friction and magnetic flux on the surface for different flow and magnetic field parameters are developed by performing linear regression on numerical data. Stability analysis is conducted as well to analyze the effects of magnetic field and fluid nature on the stability of the flow.