Numerical simulation has been conducted for the chaotic flow in a 3D closed-loop pulsating heat pipe (PHP). Heat flux and constant temperature boundary conditions were applied for evaporator and condenser sections, respectively. Water and ethanol were used as working fluids. Volume of fluid (VOF) method has been employed for two-phase flow simulation. Spectral analysis of temperature time series was carried out using power spectrum density (PSD) method. Existence of dominant peak in PSD diagram indicated periodic or quasi-periodic behavior in temperature oscillations at particular frequencies. Correlation dimension values for ethanol as working fluid were found to be higher than that for water under the same operating conditions. Similar range of Lyapunov exponent values for the PHP with water and ethanol as working fluids indicated strong dependency of Lyapunov exponent on the structure and dimensions of the PHP. An O-ring structure pattern was obtained for reconstructed 3D attractor at periodic or quasi-periodic behavior of temperature oscillations. Minimum thermal resistance of 0.85 °C/W and 0.88 °C/W were obtained for PHP with water and ethanol, respectively. Simulation results showed good agreement with the experimental results from other work under the same operating conditions.

References

References
1.
Shafii
,
M. B.
,
Faghri
,
A.
, and
Zhang
,
Y.
,
2001
, “
Thermal Modeling of Unlooped and Looped Pulsating Heat Pipes
,”
ASME J. Heat Transfer
,
123
(
6
), pp.
1159
1172
.
2.
Shafii
,
M. B.
,
Faghri
,
A.
, and
Zhang
,
Y.
,
2002
, “
Analysis of Heat Transfer in Unlooped and Looped Pulsating Heat Pipes
,”
Int. J. Numer. Methods Heat Fluid Flow
,
12
(
5
), pp.
585
609
.
3.
Zhang
,
Y.
, and
Faghri
,
A.
,
2002
, “
Heat Transfer in a Pulsating Heat Pipe With Open End
,”
Int. J. Heat Mass Transfer
,
45
(
4
), pp.
755
764
.
4.
Zhang
,
Y.
, and
Faghri
,
A.
,
2003
, “
Oscillatory Flow in Pulsating Heat Pipes With Arbitrary Numbers of Turns
,”
J. Thermophys. Heat Transfer
,
17
(
3
), pp.
340
347
.
5.
Zhang
,
Y.
, and
Faghri
,
A.
,
2008
, “
Advances and Unsolved Issues in Pulsating Heat Pipes
,”
Heat Transfer Eng.
,
29
(
1
), pp.
20
44
.
6.
Shao
,
W.
, and
Zhang
,
Y.
,
2011
, “
Thermally-Induced Oscillatory Flow and Heat Transfer in an Oscillating Heat Pipe
,”
J. Enhanced Heat Transfer
,
18
(
3
), pp.
177
190
.
7.
Kim
,
S.
,
Zhang
,
Y.
, and
Choi
,
J.
,
2013
, “
Entropy Generation Analysis for a Pulsating Heat Pipe
,”
Heat Transfer Res.
,
44
(
1
), pp.
1
30
.
8.
Kim
,
S.
,
Zhang
,
Y.
, and
Choi
,
J.
,
2013
, “
Effects of Fluctuations of Heating and Cooling Section Temperatures on Performance of a Pulsating Heat Pipe
,”
Appl. Therm. Eng.
,
58
(
1
), pp.
42
51
.
9.
Ma
,
H. B.
,
Borgmeyer
,
B.
,
Cheng
,
P.
, and
Zhang
,
Y.
,
2008
, “
Heat Transport Capability in an Oscillating Heat Pipe
,”
ASME J. Heat Transfer
,
130
(
8
), p.
081501
.
10.
Thompson
,
S. M.
,
Ma
,
H. B.
,
Winholtz
,
R. A.
, and
Wilson
,
C.
,
2009
, “
Experimental Investigation of Miniature Three-Dimensional Flat-Plate Oscillating Heat Pipe
,”
ASME J. Heat Transfer
,
131
(
4
), p.
043210
.
11.
Thompson
,
S. M.
,
Cheng
,
P.
, and
Ma
,
H. B.
,
2011
, “
An Experimental Investigation of a Three-Dimensional Flat-Plate Oscillating Heat Pipe With Staggered Microchannels
,”
Int. J. Heat Mass Transfer
,
54
(
17
), pp.
3951
3959
.
12.
Ma
,
H. B.
,
2015
,
Oscillating Heat Pipes
,
Springer
,
New York
.
13.
Shafii
,
M. B.
,
Arabnejad
,
S.
,
Saboohi
,
Y.
, and
Jamshidi
,
H.
,
2010
, “
Experimental Investigation of Pulsating Heat Pipes and a Proposed Correlation
,”
Heat Transfer Eng.
,
31
(
10
), pp.
854
861
.
14.
Qu
,
J.
,
Wu
,
H.
, and
Cheng
,
P.
,
2009
, “
Experimental Study on Thermal Performance of a Silicon-Based Micro Pulsating Heat Pipe
,”
ASME
Paper No. MNHMT2009-18525.
15.
Qu
,
J.
,
Wu
,
H.
, and
Wang
,
Q.
,
2012
, “
Experimental Investigation of Silicon-Based Micro-Pulsating Heat Pipe for Cooling electronics
,”
Nanoscale Microscale Thermophys. Eng.
,
16
(
1
), pp.
37
49
.
16.
Turkyilmazoglu
,
M.
,
2015
, “
Anomalous Heat Transfer Enhancement by Slip Due to Nanofluids in Circular Concentric Pipes
,”
Int. J. Heat Mass Transfer
,
85
, pp.
609
614
.
17.
Turkyilmazoglu
,
M.
,
2015
, “
Analytical Solutions of Single and Multi-Phase Models for the Condensation of Nanofluid Film Flow and Heat Transfer
,”
Eur. J. Mech. B/Fluids
,
53
, pp.
272
277
.
18.
Turkyilmazoglu
,
M.
,
2015
, “
A Note on the Correspondence Between Certain Nanofluid Flows and Standard Fluid Flows
,”
ASME J. Heat Transfer
,
137
(
2
), p.
024501
.
19.
Xian
,
H.
,
Xu
,
W.
,
Zhang
,
Y.
,
Du
,
X.
, and
Yang
,
Y.
,
2015
, “
Experimental Investigations of Dynamic Fluid Flow in Oscillating Heat Pipe Under Pulse Heating
,”
Appl. Therm. Eng.
,
88
, pp.
376
383
.
20.
Jiaqiang
,
E.
,
Zhao
,
X.
,
Deng
,
Y.
, and
Zhu
,
H.
,
2016
, “
Pressure Distribution and Flow Characteristics of Closed Oscillating Heat Pipe During the Starting Process at Different Vacuum Degrees
,”
Appl. Therm. Eng.
,
93
, pp.
166
173
.
21.
Khandekar
,
S.
,
Schneider
,
M.
, and
Groll
,
M.
,
2002
, “
Mathematical Modeling of Pulsating Heat Pipes: State of the Art and Future Challenges
,”
Heat and Mass Transfer
,
S. K.
Saha
,
S. P.
Venkateshen
,
B. V. S. S. S.
Prasad
, and
S. S.
Sadhal
, eds.,
Tata McGraw-Hill Publishing Company
,
New Delhi, India
, pp.
856
862
.
22.
Dobson
,
R. T.
,
2004
, “
Theoretical and Experimental Modelling of an Open Oscillatory Heat Pipe Including Gravity
,”
Int. J. Therm. Sci.
,
43
(
2
), pp.
113
119
.
23.
Xiao-Ping
,
L.
, and
Cui
,
F. Z.
,
2008
, “
Modelling of Phase Change Heat Transfer System for Micro-channel and Chaos Simulation
,”
Chin. Phys. Lett.
,
25
(
6
), pp.
2111
2114
.
24.
Song
,
Y.
, and
Xu
,
J.
,
2009
, “
Chaotic Behavior of Pulsating Heat Pipes
,”
Int. J. Heat Mass Transfer
,
52
(
13
), pp.
2932
2941
.
25.
Qu
,
J.
,
Wu
,
H.
,
Cheng
,
P.
, and
Wang
,
X.
,
2009
, “
Non-Linear Analyses of Temperature Oscillations in a Closed-Loop Pulsating Heat Pipe
,”
Int. J. Heat Mass Transfer
,
52
(
15
), pp.
3481
3489
.
26.
Pouryoussefi
,
S. M.
, and
Zhang
,
Y.
,
2016
, “
Numerical Investigation of Chaotic Flow in a 2D Closed-Loop Pulsating Heat Pipe
,”
Appl. Therm. Eng.
,
98
, pp.
617
627
.
27.
Kantz
,
H.
, and
Schreiber
,
T.
,
2004
,
Nonlinear Time Series Analysis
,
Cambridge University Press
,
Cambridge
.
28.
Bradley
,
E.
,
1999
, “
Time-Series Analysis
,”
Intelligent Data Analysis: An Introduction
,
Springer
,
Berlin
.
29.
Strogatz
,
S. H.
,
2014
,
Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering
,
Westview Press
,
Boulder, CO
.
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