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Analysis of transient Rivlin-Ericksen fluid and irreversibility of exothermic reactive hydromagnetic variable viscosity

Olakunle, Salawu
; 
Kareem, Rasaq
; 
Yan, Yubin
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Affiliation
Landmark University; Lagos State Polytechnic; University of Chester
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Publication Date
2019-03-15
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Mathematics
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Abstract
The study analysed unsteady Rivlin-Ericksen fluid and irreversibility of exponentially temperature dependent variable viscosity of hydromagnetic two-step exothermic chemical reactive flow along the channel axis with walls convective cooling. The non-Newtonian Hele-Shaw flow of Rivlin-Erickson fluid is driven by bimolecular chemical kinetic and unvarying pressure gradient. The reactive fluid is induced by periodic changes in magnetic field and time. The Newtons law of cooling is satisfied by the constant heat coolant convection exchange at the wall surfaces with the neighboring regime. The dimensionless non-Newtonian reactive fluid equations are numerically solved using a convergent and consistence semi-implicit finite difference technique which are confirmed stable. The response of the reactive fluid flow to variational increase in the values of some entrenched fluid parameters in the momentum and energy balance equations are obtained. A satisfying equations for the ratio of irreversibility, entropy generation and Bejan number are solved with the results presented graphically and discussed quantitatively. From the study, it was obtained that the thermal criticality conditions with the right combination of thermo-fluid parameters, the thermal runaway can be prevented. Also, the entropy generation can minimize by at low dissipation rate and viscosity.
Citation
Olakunle, S., Kareem, R. & Yan, Y. (2019). Analysis of transient Rivlin-Ericksen fluid and irreversibility of exothermic reactive hydromagnetic variable viscosity. Journal of Applied and Computational Mechanics, 6(1), 26-36. https://doi.org/10.22055/JACM.2019.28216.1460
Publisher
Shahid Chamran University of Ahvaz
Journal
Journal of Applied and Computational Mechanics
Research Unit
URI
http://hdl.handle.net/10034/622063
DOI
10.22055/jacm.2019.28216.1460
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Type
Article
Language
en
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ISSN
EISSN
2383-4536
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http://jacm.scu.ac.ir/article_14202.html