RP-Department of Statistics and Actuarial Science

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Significance of Coriolis F Significance of Coriolis Force on E ce on Eyring-P yring-Powell Flow Ov owell Flow Over A Rotating Non-uniform Surface
(Digital Commons @PVAMU, 2021) Oke, Abayomi Samuel; Mutuku, Winifred Nduku
Coriolis force plays significant roles in natural phenomena such as atmospheric dynamics, weather patterns, etc. Meanwhile, to circumvent the unreliability of Newtonian law for flows involving varying speed, Eyring-Powell fluid equations are used in computational fluid dynamics. This paper unravels the significance of Coriolis force on Eyring-Powell fluid over the rotating upper horizontal surface of a paraboloid of revolution. Relevant body forces are included in the Navier-Stokes equations to model the flow of non-Newtonian Eyring-Powell fluid under the influence of Coriolis force. Using similarity transformation, the governing equations are nondimensionalized, thereby transforming the nonlinear partial differential equations to a system of boundary value nonlinear ordinary differential equations. The shooting technique is adopted to convert the boundary value problem to an initial value problem, which is in turn solved using the Runge-Kutta-Gill Scheme. At low Coriolis force, temperature profiles increase as Eyring-Powell parameter increases, whereas at high Coriolis force, temperature profiles decrease with increasing Eyring-Powell parameter.