Heat transfer and entropy generation analysis of non-Newtonian fluid flow through vertical microchannel with convective boundary condition

O361; The entropy generation and heat transfer characteristics of magnetohydrodynamic (MHD) third-grade fluid flow through a vertical porous microchannel with a convective boundary condition are analyzed.Entropy generation due to flow of MHD non-Newtonian third-grade fluid within a microchannel and...

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Published in:应用数学和力学(英文版) Vol. 40; no. 9; pp. 1285 - 1300
Main Authors: M.MADHU, N.S.SHASHIKUMAR, B.MAHANTHESH, B.J.GIREESHA, N.KISHAN
Format: Journal Article
Language:English
Published: Department of Studies and Research in Mathematics, Kuvempu University,Shankaraghatta 577451, India%Department of Mathematics, Christ Deemed to be University, Bangalore 560029, India%Department of Mathematics, Osmania University, Telangana 500007, India 01-09-2019
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Summary:O361; The entropy generation and heat transfer characteristics of magnetohydrodynamic (MHD) third-grade fluid flow through a vertical porous microchannel with a convective boundary condition are analyzed.Entropy generation due to flow of MHD non-Newtonian third-grade fluid within a microchannel and temperature-dependent viscosity is studied using the entropy generation rate and Vogel's model.The equations describing flow and heat transport along with boundary conditions are first made dimensionless using proper non-dimensional transformations and then solved numerically via the finite element method (FEM).An appropriate comparison is made with the previously published results in the literature as a limiting case of the considered problem.The comparison confirms excellent agreement.The effects of the Grashof number,the Hartmann number,the Biot number,the exponential space-and thermal-dependent heat source (ESHS/THS) parameters,and the viscous dissipation parameter on the temperature and velocity are studied and presented graphically.The entropy generation and the Bejan number are also calculated.From the comprehensive parametric study,it is recognized that the production of entropy can be improved with convective heating and viscous dissipation aspects.It is also found that the ESHS aspect dominates the THS aspect.
ISSN:0253-4827
DOI:10.1007/s10483-019-2516-9