an investigation on effects of magnetic parameter and brownian motion on fluid flow between two equal plates: application of analytical methods

In the present paper, the heat transfer and fluid velocity between two horizontal plates is examined in existence of magnetic parameter. the parameters such as magnetic fluid flow, viscosity, brownian motion, and thermo-phoretic have been investigated according to this analysis. the innovation of this paper is using two analytical methods to solve differential equations and compare the obtained results. in this paper, the effects of magnetic field on fluid flow for industrial use were investigated. the effects of magnetic field on fluid flow are surveyed by using variation iteration method (vim), adomian decomposition method (adm) and compare these methods with numerical runge-kutta method. according to results, increasing the values of magnetic parameter, the fluid velocity decreased and the fluid viscosity increased. also, brownian motion and thermo-phoretic parameters were directly related to the coefficient of friction. the brownian motion of nanoparticles resulted in thermophoresis phenomenon and increasing both brownian motion and thermophoresis causes an increase in temperature.