Study on magnetohydrodynamics nanofluid flow through expanding or contracting channel with permeable walls

Abstract

The present study investigates the influence of external magnetic field on unsteady incompressible flow of water-based nanofluid through a successively expanding or contracting channel with porous walls. The basic governing equations with boundary conditions are non-dimensionalized using appropriate transformation to ordinary differential equations, which are then being solved using power series with the help of Hermite-Padè approximation method. The bifurcation diagrams of velocity field and wall shear stress are gained which signifies the stability of the flow. The regular effects of the different governing physical parameters specifically Hartmann number, volume fraction of nanoparticles, non-dimensional wall dilation rate and permeable Reynolds number on velocity profiles are depicted graphically. This research work also investigates the influence of external magnetic field on unsteady incompressible flow of water based different nanofluid (Cu,Ag,Al2O3) through a successively expanding or contracting channel with porous walls. This research shows the stability of the flow through bifurcation diagram of velocity versus non-dimensional wall dilation rate.