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
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Date
2021
Authors
Oke, Abayomi Samuel
Mutuku, Winifred Nduku
Journal Title
Journal ISSN
Volume Title
Publisher
Digital Commons @PVAMU
Abstract
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.
Description
An Article Published in Applications and Applied Mathematics: An International Journal
Keywords
Coriolis Force, Eyring-Powell