Abstract

This paper proposes a thermal metamaterial based on the theory of thermodynamics transformation, which can achieve uniform temperature distribution. The required anisotropic thermal conductivity is theoretically derived. This thermal metamaterial structure is achieved by alternating aluminum and polyimide of different lengths. The temperature distribution under the condition of different convective heat transfer coefficients was simulated and compared with pure aluminum. The simulation and experimental results show that the metamaterial significantly reduced the non-uniformity of the temperature distribution.

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References

1.
Li
,
B.
,
Wang
,
L.
, and
Casati
,
G.
,
2004
, “
Thermal Diode: Rectification of Heat Flux
,”
Phys. Rev. Lett.
,
93
(
18
), p.
184301
.
2.
Chang
,
C. W.
,
Okawa
,
D.
,
Majumdar
,
A.
, and
Zettl
,
A.
,
2006
, “
Solid-State Thermal Rectifier
,”
Science
,
314
(
5802
), pp.
1121
1124
.
3.
Li
,
B.
,
Wang
,
L.
, and
Casati
,
G.
,
2006
, “
Negative Differential Thermal Resistance and Thermal Transistor
,”
Appl. Phys. Lett.
,
88
(
14
), p.
143501
.
4.
Stenger
,
N.
,
Wilhelm
,
M.
, and
Wegener
,
M.
,
2012
, “
Experiments on Elastic Cloaking in Thin Plates
,”
Phys. Rev. Lett.
,
108
(
1
), p.
014301
.
5.
Fan
,
C. Z.
,
Gao
,
Y.
, and
Huang
,
J. P.
,
2008
, “
Shaped Graded Materials With an Apparent Negative Thermal Conductivity
,”
Appl. Phys. Lett.
,
92
(
25
), p.
251907
.
6.
Chen
,
T.
,
Weng
,
C. N.
, and
Chen
,
J. S.
,
2008
, “
Cloak for Curvilinearly Anisotropic Media in Conduction
,”
Appl. Phys. Lett.
,
93
(
11
), p.
114103
.
7.
Guenneau
,
S.
,
Amra
,
C.
, and
Veynante
,
D.
,
2012
, “
Transformation Thermodynamics: Cloaking and Concentrating Heat Flux
,”
Opt. Expr.
,
20
(
7
), pp.
8207
8218
.
8.
Schittny
,
R.
,
Kadic
,
M.
,
Guenneau
,
S.
, and
Wegener
,
M.
,
2013
, “
Experiments on Transformation Thermodynamics: Molding the Flow of Heat
,”
Phys. Rev. Lett.
,
110
(
19
), p.
195901
.
9.
Park
,
G.
,
Kang
,
S.
,
Lee
,
H.
, and
Choi
,
W.
,
2017
, “
Tunable Multifunctional Thermal Metamaterials: Manipulation of Local Heat Flux Via Assembly of Unit-Cell Thermal Shifters
,”
Sci. Rep.
,
7
(
1
), pp.
1
15
.
10.
Wang
,
R.
,
Xu
,
L.
,
Ji
,
Q.
, and
Huang
,
J.
,
2018
, “
A Thermal Theory for Unifying and Designing Transparency, Concentrating and Cloaking
,”
J. Appl. Phys.
,
123
(
11
), p.
115117
.
11.
Li
,
Y.
,
Shen
,
X.
,
Wu
,
Z.
,
Huang
,
J.
,
Chen
,
Y.
,
Ni
,
Y.
, and
Huang
,
J.
,
2015
, “
Temperature-Dependent Transformation Thermotics: From Switchable Thermal Cloaks to Macroscopic Thermal Diodes
,”
Phys. Rev. Lett.
,
115
(
19
), p.
195503
.
12.
Gao
,
Y.
, and
Huang
,
J. P.
,
2013
, “
Unconventional Thermal Cloak Hiding an Object Outside the Cloak
,”
Europhys. Lett.
,
104
(
4
), p.
44001
.
13.
Raza
,
M.
,
Liu
,
Y.
,
Lee
,
E. H.
, and
Ma
,
Y.
,
2016
, “
Transformation Thermodynamics and Heat Cloaking: A Review
,”
J. Opt.
,
18
(
4
), p.
044002
.
14.
Hu
,
R.
,
Zhou
,
S.
,
Yu
,
X.
, and
Luo
,
X.
,
2016
, “
Exploring the Proper Experimental Conditions in 2D Thermal Cloaking Demonstration
,”
J. Phys. D: Appl. Phys.
,
49
(
41
), p.
415302
.
15.
Hou
,
Q.
,
Zhao
,
X.
,
Meng
,
T.
, and
Liu
,
C.
,
2016
, “
Illusion Thermal Device Based on Material With Constant Anisotropic Thermal Conductivity for Location Camouflage
,”
Appl. Phys. Lett.
,
109
(
10
), p.
103506
.
16.
Hamed
,
A.
, and
Ndao
,
S.
,
2018
, “
High Anisotropy Metamaterial Heat Spreader
,”
Int. J. Heat Mass Transfer
,
121
, pp.
10
14
.
17.
Liu
,
Y.
,
Jiang
,
W.
,
He
,
S.
, and
Ma
,
Y.
,
2014
, “
An Efficient Plate Heater With Uniform Surface Temperature Engineered With Effective Thermal Materials
,”
Opt. Expr.
,
22
(
14
), pp.
17006
17015
.
18.
Han
,
T.
,
Bai
,
X.
,
Liu
,
D.
,
Gao
,
D.
,
Li
,
B.
,
Thong
,
J. T.
, and
Qiu
,
C. W.
,
2015
, “
Manipulating Steady Heat Conduction by Sensu-Shaped Thermal Metamaterials
,”
Sci. Rep.
,
5
(
1
), p.
10242
.
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