Transpiration and Viscous Dissipation Effects on Entropy Generation in Hybrid Nanofluid Flow over a Nonlinear Radially Stretching Disk
1
Department of Mathematics, Faculty of Science, Jiangsu University, Zhenjiang 212013, China
2
Department of Mathematics, COMSATS University Islamabad, Park Road, Tarlai Kalan, Islamabad 455000, Pakistan
*
Authors to whom correspondence should be addressed.
Entropy 2018, 20(9), 668; https://doi.org/10.3390/e20090668
Received: 1 July 2018
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Revised: 14 August 2018
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Accepted: 17 August 2018
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Published: 4 September 2018
(This article belongs to the Special Issue Entropy Generation and Heat Transfer)
The present research work explores the effects of suction/injection and viscous dissipation on entropy generation in the boundary layer flow of a hybrid nanofluid (Cu–Al2O3–H2O) over a nonlinear radially stretching porous disk. The energy dissipation function is added in the energy equation in order to incorporate the effects of viscous dissipation. The Tiwari and Das model is used in this work. The flow, heat transfer, and entropy generation analysis have been performed using a modified form of the Maxwell Garnett (MG) and Brinkman nanofluid model for effective thermal conductivity and dynamic viscosity, respectively. Suitable transformations are utilized to obtain a set of self-similar ordinary differential equations. Numerical solutions are obtained using shooting and bvp4c Matlab solver. The comparison of solutions shows excellent agreement. To examine the effects of principal flow parameters like suction/injection, the Eckert number, and solid volume fraction, different graphs are plotted and discussed. It is concluded that entropy generation inside the boundary layer of a hybrid nanofluid is high compared to a convectional nanofluid.
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Keywords:
hybrid nanofluid; entropy generation; Bejan number; nonlinear stretching; porous disk; viscous dissipation
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MDPI and ACS Style
Farooq, U.; Afridi, M.I.; Qasim, M.; Lu, D.C. Transpiration and Viscous Dissipation Effects on Entropy Generation in Hybrid Nanofluid Flow over a Nonlinear Radially Stretching Disk. Entropy 2018, 20, 668. https://doi.org/10.3390/e20090668
AMA Style
Farooq U, Afridi MI, Qasim M, Lu DC. Transpiration and Viscous Dissipation Effects on Entropy Generation in Hybrid Nanofluid Flow over a Nonlinear Radially Stretching Disk. Entropy. 2018; 20(9):668. https://doi.org/10.3390/e20090668
Chicago/Turabian StyleFarooq, Umer, Muhammad I. Afridi, Muhammad Qasim, and D. C. Lu. 2018. "Transpiration and Viscous Dissipation Effects on Entropy Generation in Hybrid Nanofluid Flow over a Nonlinear Radially Stretching Disk" Entropy 20, no. 9: 668. https://doi.org/10.3390/e20090668
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