Hall currents effect on squeezing flow of non-Newtonian nanofluid through a porous medium between two parallel plates

Abstract

An analysis is carried out to study the problem of unsteady squeezing flow of a non-Newtonian nanofluid through a porous medium between two parallel plates. The effects of Hall currents and heat source are taken into consideration. The governing partial differential equations are transformed into a set of nonlinear ordinary differential equations by using similarity transformations. A homotopy perturbation method is performed to obtain analytical solutions for that system of equations. The behaviors of the tangential velocity, normal velocity, temperature, and nanoparticles concentrations distributions are discussed analytically and graphically under the effect of different entering parameters. Physically, our model corresponds to squeezing problems in tunnelling such as study the relation between rock types and its depths in squeezing cases and time dependent stress induced problem in sandstone. This problem provides interesting results which may have many applications in chemistry, biology, and medicine.