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Technical Brief

Investigating Entropy Generation in a Thermal Cloak Corresponding Different Material Layer Number

[+] Author and Article Information
Haochun Zhang

School of Energy Science and Engineering,
Harbin Institute of Technology,
Harbin 15001, China
e-mail: zhc5@vip.163.com

Guoqiang Xu

School of Energy Science and Engineering,
Harbin Institute of Technology,
Harbin 15001, China
e-mail: hitenergyxgq@126.com

Haiyan Yu

School of Energy Science and Engineering,
Harbin Institute of Technology,
Harbin 15001, China
e-mail: daisy36900@sina.com

Yao Li

School of Materials Science and Engineering,
Harbin Institute of Technology,
Harbin 15001, China
e-mail: liyao@hit.edu.cn

Yanqiang Wei

School of Energy Science and Engineering,
Harbin Institute of Technology,
Harbin 15001, China
e-mail: 1106245112@qq.com

1Corresponding author.

Presented at the 2016 ASME 5th Micro/Nanoscale Heat & Mass Transfer International Conference. Paper Number MNHMT2016-6554.Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received May 26, 2016; final manuscript received November 27, 2016; published online February 14, 2017. Assoc. Editor: Zhuomin Zhang.

J. Heat Transfer 139(5), 054501 (Feb 14, 2017) (5 pages) Paper No: HT-16-1308; doi: 10.1115/1.4035357 History: Received May 26, 2016; Revised November 27, 2016

In this study, entropy analysis was introduced to characterize the thermodynamic properties of a two-dimensional (2D) thermal cloak consisting of multiple layers. The local entropy generation rate distribution was obtained, and the total entropy generation of different models was calculated. The irreversible extent of the heat transfer increased in the even layers with larger thermal conductivities. A better thermal cloak not only enhances thermal protection but also concentrates the energy fluctuations on the plate. The augmentation entropy generation number is used to identify the best cloaking scheme by varying the cloaking layer number from 1 to 20. This work shows that the fitting equation derived by analysis of variance (ANOVA) can be used to optimize the number of layers of the cloaking structure.

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Figures

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Fig. 1

The geometry of three simulation models: (a) TC model, (b) PO model, and (c) plate model

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Fig. 2

The entropy generation rate distribution of three models at times: (a) TC model, (b) PO model, and (c) plate model

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Fig. 3

Entropy generation rate along the measure line versus time

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Fig. 4

The total entropy generation of three models versus time

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Fig. 5

The augmentation entropy generation number of different cloaking schemes versus time

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Fig. 6

The variance of Ns,a with the increasing layer numbers at 120 s (the heat transfer process achieved an equilibrium at 120 s)

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