Magnetohydrodynamic squeezing flow of casson nanofluid between two parallel plates in a porous medium using method of matched asymptotic expansion

Abstract

In this paper, unsteady squeezing flow of Casson nanofluid between two parallel plates embedded in a porous medium and subjected to magnetic field is analyzed. The developed systems of partial differential equations for the fluid flow models are converted to ordinary differential equations through suitable similarity variables. The obtained ordinary differential equation is solved using method of matched asymptotic expansion. The accuracies of the approximate analytical method for the small and large values of squeezing numbers are investigated. Good agreements are established between the results of the approximate analytical method and the results numerical method using fourth-fifth order Runge-Kutta-Fehlberg method. Thereafter, the developed approximate analytical solutions are used to investigate the effects of pertinent flow parameters on the squeezing flow phenomena of the nanofluids between the two moving parallel plates. The results established that the as the squeezing number and magnetic field parameters decreases, the flow velocity increases when the plates come together. Also, the velocity of the nanofluids further decreases as the magnetic field parameter increases when the plates move apart. However, the velocity is found to be directly proportional to the nanoparticle concentration during the squeezing flow i.e. when the plates are coming together and an inverse variation between the velocity and nanoparticle concentration is recorded when the plates are moving apart. It is hope that this study will enhance the understanding the phenomena of squeezing flow in various applications.