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PARAMETRIC ANALYSIS OF VELOCITY DISTRIBUTION OF TWO IMMISCIBLE INCOMPRESSIBLE FLUID

Authors: *Erhunmwun I.D, Ikponmwosa U.B, Aibangbee G.F

ABSTRACT

In this study, a parametric analysis was carried out to determine the velocity distribution of two immiscible incompressible fluids between two stationary parallel plates using the Finite Element Method (FEM). The overall results from these finite elements were assembled to represent the velocity distribution in the entire domain of the stationary parallel plates. The results obtained showed that the velocity distribution has a parabolic profile with the maximum velocity of 13.125 m/s at 2.5m from the centre line into the less dense and less viscous region of the parallel plates. The fluid due to the no slip boundary condition had a velocity of 0 m/s at the walls of the parallel plates. The result obtained from the FEM when compared with the result obtained from the exact differential equation method showed a strong agreement.


Affiliations: Department of Production Engineering, Faculty of Engineering, University of Benin, Benin City, Nigeria
Keywords: Finite Element Method, Immiscible Fluid, Incompressible, Interpolation Function, Weak Formulation
Published date: 2018/06/30

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ISSN: 2635-3342 (Print)

ISSN: 2635-3350 (Online)

DOI: In progress

ISI Impact Factor: In progress

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Chemical Engineering Department, Faculty of Engineering, University of Benin, PMB 1154, Ugbowo, Benin City, Edo State, Nigeria.