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Numerical Simulation of Entropy Generation with Thermal Radiation on MHD Carreau Nanofluid towards a Shrinking Sheet

Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China
Department of Mathematics, Quaid-I-Azam University, Islamabad 44000, Pakistan
Shanghai Key Lab of Vehicle Aerodynamics and Vehicle Thermal Management Systems, Tongji University, Shanghai 201804, China
ENN-Tongji Clean Energy Institute of advanced studies, Shanghai 200072, Tongji University, China
Mechanical Engineering Department, College of Engineering, King Saud University, P. O. Box 800, Riyadh 11421, Saudi Arabia
Author to whom correspondence should be addressed.
Academic Editors: Giulio Lorenzini and Omid Mahian
Entropy 2016, 18(6), 200;
Received: 8 April 2016 / Revised: 15 May 2016 / Accepted: 19 May 2016 / Published: 24 May 2016
(This article belongs to the Special Issue Entropy in Nanofluids)
PDF [3877 KB, uploaded 24 May 2016]


In this article, entropy generation with radiation on non-Newtonian Carreau nanofluid towards a shrinking sheet is investigated numerically. The effects of magnetohydrodynamics (MHD) are also taken into account. Firstly, the governing flow problem is simplified into ordinary differential equations from partial differential equations with the help of similarity variables. The solution of the resulting nonlinear differential equations is solved numerically with the help of the successive linearization method and Chebyshev spectral collocation method. The influence of all the emerging parameters is discussed with the help of graphs and tables. It is observed that the influence of magnetic field and fluid parameters oppose the flow. It is also analyzed that thermal radiation effects and the Prandtl number show opposite behavior on temperature profile. Furthermore, it is also observed that entropy profile increases for all the physical parameters. View Full-Text
Keywords: nanofluid; entropy generation; Carreau fluid; shrinking sheet nanofluid; entropy generation; Carreau fluid; shrinking sheet

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Bhatti, M.M.; Abbas, T.; Rashidi, M.M.; Ali, M.E.-S. Numerical Simulation of Entropy Generation with Thermal Radiation on MHD Carreau Nanofluid towards a Shrinking Sheet. Entropy 2016, 18, 200.

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