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Hall current and suction/injection effects on the entropy generation of third grade fluid

Opanuga, A. A. and Gbadeyan, J.A. and Okagbue, H. I. and Agboola, O.O. (2018) Hall current and suction/injection effects on the entropy generation of third grade fluid. International Journal of Advanced and Applied Sciences, 5 (7). pp. 108-115.

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Abstract

In this work, effects of Hall current and suction/injection on a steady, viscous, incompressible and electrically conducting third grade fluid past a semi-infinite plate with entropy generation is investigated. It is assumed that the fluid motion is induced by applied pressure gradient. Hot fluid is injected with a constant velocity at the injection wall while it is sucked off at the upper wall with the same velocity. The governing equations of Navier-Stoke, energy and entropy generation obtained are non-dimensionalised, the resulting dimensionless velocity and temperature profiles are solved by Adomian decomposition technique due to the nonlinearity of the coupled system of equations. The obtained solution for the velocity profile is validated by the exact solution and the existing one in literature at M = 0 and the analytical expressions for fluid velocity and temperature are utilized to calculate the entropy generation and irreversibility ratio. Various plots are presented and discussed. It is found that increasing Hall current parameter increases primary velocity, temperature, entropy generation and Bejan number while the reverse trend is observed when both suction/injection and magnetic field parameters are increased. It is also noticed that entropy production at the upper wall is due to heat transfer.

Item Type: Article
Uncontrolled Keywords: Hall current Suction/Injection Third grade fluid Entropy generation Adomian decomposition method
Subjects: Q Science > Q Science (General)
Q Science > QA Mathematics
Divisions: Faculty of Engineering, Science and Mathematics > School of Mathematics
Depositing User: Mrs Patricia Nwokealisi
Date Deposited: 28 Jun 2018 10:51
Last Modified: 28 Jun 2018 10:51
URI: http://eprints.covenantuniversity.edu.ng/id/eprint/11081

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