Effect of Coriolis Force on Modified Eyring Powell Fluid flow
Abayomi S. Oke
*
Department of Mathematical Sciences, Adekunle Ajasin University, Nigeria and Department of Mathematics and Actuarial Science, Kenyatta University, Kenya.
Temitope Eyinla
Applied and Computational Mathematics and Statistics, University of Notre Dame, USA.
Belindar A. Juma
Department of Mathematics and Actuarial Science, Kenyatta University, Kenya.
*Author to whom correspondence should be addressed.
Abstract
Recently, it has been shown that under certain conditions, the Eyring-Powell fluid model can exhibit shearthickening properties without losing the known Newtonian or shear-thinning properties. The Eyring-Powell and Modified Eyring-Powell fluids have shown great potential in enhancing armour production and reducing the cost of maintenance for bullet proof vests. The Coriolis force, on the other hand, explains natural phenomena such as the direction of cyclones and the true direction of sun rays on earth. In this paper, the shear-thinning properties of the Eyring-Powell fluid is explored under the action of Coriolis force. The flow is modelled as a system of PDEs which are transformed into a system of ODEs by means of similarity variables. A numerical solution of the equations are sought using the Runge-Kutta scheme alongside the Shooting technique. The effects of the Eyring-Powell fluid parameter and Coriolis force are explored on the flow velocity and flow temperature and the results are illustrated as graphs. The outcomes show that temperature increases with increasing Coriolis force but flow velocity decreases as Coriolis force increases.
Keywords: Eyring-powell fluid, non-newtonian fluid, Modified eyring-powell fluid