Effect of magnetite nanoparticles on couple stress fluid between two parallel squeezing and expanding surfaces

Abstract

This article investigates the analysis of hydromagnetic flow of a couple stress fluid through two parallel squeezing surfaces where magnetite nanoparticles are suspended in it. Here ethylene glycol is considered as the base fluid. The dissipations due to magnetic field, viscous and couple stress fluid are considered in the energy equation. The modelled governing differential equations are transformed into dimensionless form of nonlinear coupled ordinary differential equations with the aid of similarity transformations. A shooting method with Runge–Kutta 4th order is utilized to solve the system of reduced flow field equations. The influence of various parameters on the velocity (axial and radial) components and temperature are studied for squeezing and expanding cases for distinct physical parameter through graphs. The results indicate that the axial velocity and temperature show increasing trend for augmenti values of couple stress fluid parameter. Further, radial velocity and temperature also depict augmenting trend for all increasing values of Hartmann number.