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Thermodynamic Analysis of Entropy Generation Minimization in Thermally Dissipating Flow Over a Thin Needle Moving in a Parallel Free Stream of Two Newtonian Fluids

1
Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City 700,000, Vietnam
2
Department of Mechanical Engineering, College of Engineering, Prince Mohammad Bin Fahd University, Al Khobar 31952, Saudi Arabia
3
Department of Mathematics, COMSATS University Islamabad (CUI), Park Road, Tarlai Kalan, Islamabad-455000, Pakistan
4
Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Majmaah 11952, Saudi Arabia
*
Author to whom correspondence should be addressed.
Entropy 2019, 21(1), 74; https://doi.org/10.3390/e21010074
Received: 21 November 2018 / Revised: 25 December 2018 / Accepted: 28 December 2018 / Published: 16 January 2019
(This article belongs to the Special Issue Entropy Generation Minimization II)
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Abstract

This article is devoted to study sustainability of entropy generation in an incompressible thermal flow of Newtonian fluids over a thin needle that is moving in a parallel stream. Two types of Newtonian fluids (water and air) are considered in this work. The energy dissipation term is included in the energy equation. Here, it is presumed that u (the free stream velocity) is in the positive axial direction (x-axis) and the motion of the thin needle is in the opposite or similar direction as the free stream velocity. The reduced self-similar governing equations are solved numerically with the aid of the shooting technique with the fourth-order-Runge-Kutta method. Using similarity transformations, it is possible to obtain the expression for dimensionless form of the volumetric entropy generation rate and the Bejan number. The effects of Prandtl number, Eckert number and dimensionless temperature parameter are discussed graphically in details for water and air taken as Newtonian fluids. View Full-Text
Keywords: entropy generation; Bejan number; thin needle; two Newtonian fluids; self-similar equations entropy generation; Bejan number; thin needle; two Newtonian fluids; self-similar equations
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Khan, I.; Khan, W.A.; Qasim, M.; Afridi, I.; Alharbi, S.O. Thermodynamic Analysis of Entropy Generation Minimization in Thermally Dissipating Flow Over a Thin Needle Moving in a Parallel Free Stream of Two Newtonian Fluids. Entropy 2019, 21, 74.

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