International journal of

ADVANCED AND APPLIED SCIENCES

EISSN: 2313-3724, Print ISSN:2313-626X

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 Volume 5, Issue 7 (July 2018), Pages: 108-115

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 Original Research Paper

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

 Author(s): Abiodun A. Opanuga 1, *, Jacob A. Gbadeyan 2, Hilary I. Okagbue 1, Olasunmbo O. Agboola 1

 Affiliation(s):

 1Department of Mathematics, College of Science and Technology, Covenant University, Ota, Nigeria
 2Department of Mathematics, Faculty of Physical Science, University of Ilorin, Ilorin, Nigeria

 https://doi.org/10.21833/ijaas.2018.07.013

 Full Text - PDF          XML

 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. 

 © 2018 The Authors. Published by IASE.

 This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

 Keywords: Hall current, Suction/Injection, Third grade fluid, Entropy generation, Adomian decomposition method

 Article History: Received 25 November 2017, Received in revised form 25 March 2018, Accepted 10 May 2018

 Digital Object Identifier: 

 https://doi.org/10.21833/ijaas.2018.07.013

 Citation:

 Opanuga AA, Gbadeyan JA, Okagbue HI, and Agboola OO (2018). Hall current and suction/injection effects on the entropy generation of third grade fluid. International Journal of Advanced and Applied Sciences, 5(7): 108-115

 Permanent Link:

 http://www.science-gate.com/IJAAS/2018/V5I7/Opanuga.html

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