A novel mathematical model of MHD boundary layer flow of an activated micropolar nanofluid over a stretching surface under the effect of electro-osmosis forces

Abstract

The major objective of this research is to create a novel mathematical model for the flow of an electro-osmotic boundary layer in a micropolar Williamson nanofluid. This development is achieved by considering the influence of electro-osmotic force on an incompressible micropolar Williamson nanofluid through a Darcian flow (Darcy model) when combined with a binary chemical reaction and the energy of activation over a linearly stretching sheet. The constituent parts of the energy equation include heat radiation, thermal and mass transport, along with joule-based heating and dissipation of viscous fluids. The problem is computationally analyzed using an equation set of nonlinear partial differential equations (PDEs), which are then similarly converted into a system of ordinary differentiation equations (ODEs). The obtained ODEs system is solved numerically using the built-in command (Parametric ND Solve) via MATHEMATICA software. A series of figures are used to demonstrate numerically and graphically the influence of physical characteristics on the fluid behavior. The behavior of flow is obtained by studying the streamlines around the plate in contour and three-dimensional form. In the case of non-Newtonian fluid, the results indicated that the boundary layer velocity is slower compared with the Newtonian fluid case. It is also mentioned that the graphic representation of the results shows that increasing the radiation parameter enhances thermal distribution, which means that the rate of heat transfer improved. The main findings revealed that the upward trend in the Williamson number diminishes the nanofluid flow while enhancing the skin friction coefficient. Also, it is discovered that as [Formula: see text] rises, the fluid’s velocity distributions in the boundary layer rise. Consequently, this type of research’s significance stems from its potential uses in biomedical engineering since it could be used to dewater liquids and solids from infected human tissues.