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Second law analysis for nonlinear convective flow of a reactive couple stress fluid through a vertical channel.

Authors
  • Adesanya, Samuel O1, 2
  • Ogunseye, H A3
  • Lebelo, R S2
  • Moloi, K C2
  • Adeyemi, O G4
  • 1 Department of Mathematical Sciences, College of Natural Sciences, Redeemer's University, Ede, Nigeria. , (Niger)
  • 2 Department of Education, Vaal University of Technology, Vanderbijlpark 1911, South Africa. , (South Africa)
  • 3 Department of Mathematics, University of Lagos, Akoka, Nigeria. , (Niger)
  • 4 Department of Chemical Sciences, College of Natural Sciences, Redeemer's University, Ede, Nigeria. , (Niger)
Type
Published Article
Journal
Heliyon
Publisher
Elsevier
Publication Date
Nov 01, 2018
Volume
4
Issue
11
Identifiers
DOI: 10.1016/j.heliyon.2018.e00907
PMID: 30456322
Source
Medline
Keywords
Language
English
License
Unknown

Abstract

The present article investigates the entropy generation rate in the nonlinear convective flow of a reactive couple stress liquid through a channel filled with saturated materials and subjected to convective cooling. Analytical solutions of the coupled nonlinear boundary-value problems arising from the mathematical formulation are obtained by using the Homotopy Analysis Method (HAM). The analytical solutions are further validated numerically with the fourth order Runge-Kutta (RK4) to establish the accuracy of the method. Velocity, temperature, entropy generation, and heat irreversibility ratio profiles are presented and discussed extensively. The result of the computation shows that entropy generation increases significantly with increasing buoyancy parameter.

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