Abstract
In this study, the specific heat of molten salt nano-eutectic (Li2CO3-K2CO3 doped with SiO2 nanoparticles) was theoretically and computationally investigated. The effective specific heat of a nano-eutectic can be significantly enhanced by the formation of needlelike nanostructures by salt eutectic. To investigate the effect of the formed nanostructure, its specific heat was theoretically calculated by a theoretical model. The mass fraction of the formed nanostructure was estimated by matlab. The theoretical prediction made a good agreement with the measured specific heat values from the literature with an error less than 3%. Additional verification of the proposed model was performed by a Molecular Dynamics simulation study. The simulated specific heat of pure molten salt eutectic made a good agreement with the literature value (1.6 kJ/kg °C with an error less than 1.7%). The simulated specific heat of nano-eutectic was 2.017 kJ/kg °C. The error between the theoretical prediction and the simulation is only 3.4% and the value made a good agreement with the experiment (1.9% max. error). The result shows that the enhanced specific heat of a nano-eutectic can be explained by the contribution of the formed nanostructures.
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References
1.
Andreu-Cabedo
,
P.
,
Mondragon
,
R.
,
Hernandez
,
L.
,
Martinez-Cuenca
,
R.
,
Cabedo
,
L.
, and
Julia
,
J. E.
, 2014
, “
Increment of Specific Heat Capacity of Solar Salt With SiO2 Nanoparticles
,” Nanoscale Res. Lett.
,
9
(1
), pp. 582
–611
.10.1186/1556-276X-9-5822.
Chieruzzi
,
M.
,
Cerritelli
,
G. F.
,
Miliozzi
,
A.
, and
Kenny
,
J. M.
, 2013
, “
Effect of Nanoparticles on Heat Capacity of Nanofluids Based on Molten Salts as PCM for Thermal Energy Storage
,” Nanoscale Res. Lett.
,
8
(1
), p. 448
.10.1186/1556-276X-8-4483.
Lasfargues
,
M.
,
Geng
,
Q.
,
Cao
,
H.
, and
Ding
,
Y.
, 2015
, “
Mechanical Dispersion of Nanoparticles and Its Effect on the Specific Heat Capacity of Impure Binary Nitrate Salt Mixtures
,” Nanomaterials
,
5
(3
), pp. 1136
–1146
.10.3390/nano50311364.
Luo
,
Y.
,
Du
,
X.
,
Awad
,
A.
, and
Wen
,
D.
, 2017
, “
Thermal Energy Storage Enhancement of a Binary Molten Salt Via In-Situ Produced Nanoparticles
,” Int. J. Heat Mass Transfer
,
104
, pp. 658
–664
.10.1016/j.ijheatmasstransfer.2016.09.0045.
Navas
,
J.
,
Sánchez-Coronilla
,
A.
,
Martín
,
E. I.
,
Teruel
,
M.
,
Gallardo
,
J. J.
,
Aguilar
,
T.
,
Gómez-Villarejo
,
R.
,
Alcántara
,
R.
,
Fernández-Lorenzo
,
C.
,
Piñero
,
J. C.
, and
Martín-Calleja
,
J.
, 2016
, “
On the Enhancement of Heat Transfer Fluid for Concentrating Solar Power Using Cu and Ni Nanofluids: An Experimental and Molecular Dynamics Study
,” Nano Energy
,
27
, pp. 213
–224
.10.1016/j.nanoen.2016.07.0046.
Riazi
,
H.
,
Mesgari
,
S.
,
Ahmed
,
N.
, and
Taylor
,
R.
, 2016
, “
The Effect of Nanoparticle Morphology on the Specific Heat of Nanosalts
,” Int. J. Heat Mass Transfer
,
94
, pp. 254
–261
.10.1016/j.ijheatmasstransfer.2015.11.0647.
Schuller
,
M.
,
Shao
,
Q.
, and
Lalk
,
T.
, 2015
, “
Experimental Investigation of the Specific Heat of a Nitrate-Alumina Nanofluid for Solar Thermal Energy Storage Systems
,” Int. J. Therm. Sci.
,
91
, pp. 142
–145
.10.1016/j.ijthermalsci.2015.01.0128.
Seo
,
J.
, and
Shin
,
D.
, 2014
, “
Enhancement of Specific Heat of Ternary Nitrate (LiNO3-NaNO3-KNO3) Salt by Doping With SiO2 Nanoparticles for Solar Thermal Energy Storage
,” Micro Nano Lett.
,
9
(11
), pp. 817
–820
.10.1049/mnl.2014.04079.
Seo
,
J.
, and
Shin
,
D.
, 2016
, “
Size Effect of Nanoparticle on Specific Heat in a Ternary Nitrate (LiNO3-NaNO3-KNO3) Salt Eutectic for Thermal Energy Storage
,” Appl. Therm. Eng.
,
102
, pp. 144
–48
.10.1016/j.applthermaleng.2016.03.13410.
Shin
,
D.
, and
Banerjee
,
D.
, 2011
, “
Enhanced Specific Heat of Silica Nanofluid
,” ASME J. Heat Transfer
,
133
(2
), p. 024501
.10.1115/1.400260011.
Shin
,
D.
,
Tiznobaik
,
H.
, and
Banerjee
,
D.
, 2014
, “
Specific Heat Mechanism of Molten Salt Nanofluids
,” Appl. Phys. Lett.
,
104
(12
), p. 121914
.10.1063/1.486825412.
Shin
,
D.
, and
Banerjee
,
D.
, 2011
, “
Enhancement of Specific Heat Capacity of High-Temperature Silica-Nanofluids Synthesized in Alkali Chloride Salt Eutectics for Solar Thermal-Energy Storage Applications
,” Int. J. Heat Mass Transfer
,
54
(5–6
), pp. 1064
–1070
.10.1016/j.ijheatmasstransfer.2010.11.01713.
Chieruzzi
,
M.
,
Cerritelli
,
G.
,
Miliozzi
,
A.
,
Kenny
,
J.
, and
Torre
,
L.
, 2017
, “
Heat Capacity of Nanofluids for Solar Energy Storage Produced by Dispersing Oxide Nanoparticles in Nitrate Salt Mixture Directly at High Temperature
,” Sol. Energy Mater. Sol. Cells
,
167
, pp. 60
–69
.10.1016/j.solmat.2017.04.01114.
Shin
,
D.
, and
Banerjee
,
D.
, 2014
, “
Specific Heat of Nanofluids Synthesized by Dispersing Alumina Nanoparticles in Alkali Salt Eutectic
,” Int. J. Heat Mass Transfer
,
74
, pp. 210
–214
.10.1016/j.ijheatmasstransfer.2014.02.06615.
Shin
,
D.
, and
Banerjee
,
D.
, 2013
, “
Enhanced Specific Heat Capacity of Nanomaterials Synthesized by Dispersing Silica Nanoparticles in Eutectic Mixtures
,” ASME J. Heat Transfer
,
135
(3
), p. 032801
.10.1115/1.400516316.
Tian
,
H.
,
Wang
,
W.
,
Ding
,
J.
,
Wei
,
X.
, and
Huang
,
C.
, 2016
, “
Preparation of Binary Eutectic Chloride/Expanded Graphite as High-Temperature Thermal Energy Storage Materials
,” Sol. Energy Mater. Sol. Cells
,
149
, pp. 187
–94
.10.1016/j.solmat.2015.12.03817.
Tiznobaik
,
H.
, and
Shin
,
D.
, 2013
, “
Enhanced Specific Heat Capacity of High-Temperature Molten Salt-Based Nanofluids
,” Int. J. Heat Mass Transfer
,
57
(2
), pp. 542
–48
.10.1016/j.ijheatmasstransfer.2012.10.06218.
Zhang
,
L.
,
Chen
,
X.
,
Wu
,
Y.
,
Lu
,
Y.
, and
Ma
,
C.
, 2016
, “
Effect of Nanoparticle Dispersion on Enhancing the Specific Heat Capacity of Quaternary Nitrate for Solar Thermal Energy Storage Application
,” Sol. Energy Mater. Sol. Cells
,
157
, pp. 808
–13
.10.1016/j.solmat.2016.07.04619.
Zhang
,
Z.
,
Yuan
,
Y.
,
Ouyang
,
L.
,
Sun
,
Q.
,
Cao
,
X.
, and
Alelyani
,
S.
, 2017
, “
Enhanced Thermal Properties of Li2CO3–Na2CO3–K2CO3 Nanofluids With Nanoalumina for Heat Transfer in High-Temperature CSP Systems
,” J. Therm. Anal. Calorim.
,
128
(3
), pp. 1783
–1792
.10.1007/s10973-016-6050-120.
Devaradjane
,
R.
, and
Shin
,
D.
, 2016
, “
Nanoparticle Dispersion on Ternary Nitrate Salts for Heat Transfer Fluid Applications in Solar Thermal Power
,” ASME J. Heat Transfer
,
138
(5
), p. 051901
.10.1115/1.403090321.
Dudda
,
B.
, and
Shin
,
D.
, 2013
, “
Effect of Nanoparticle Dispersion on Specific Heat Capacity of a Binary Nitrate Salt Eutectic for Concentrated Solar Power Applications
,” Int. J. Therm. Sci.
,
69
, pp. 37
–42
.10.1016/j.ijthermalsci.2013.02.00322.
Ho
,
M.
, and
Pan
,
C.
, 2017
, “
Experimental Investigation of Heat Transfer Performance of Molten HITEC Salt Flow With Alumina Nanoparticles
,” Int. J. Heat Mass Transfer
,
107
, pp. 1094
–1103
.10.1016/j.ijheatmasstransfer.2016.11.01523.
Ho
,
M.
, and
Pan
,
C.
, 2014
, “
Optimal Concentration of Alumina Nanoparticles in Molten Hitec Salt to Maximize Its Specific Heat Capacity
,” Int. J. Heat Mass Transfer
,
70
, pp. 174
–84
.10.1016/j.ijheatmasstransfer.2013.10.07824.
Hu
,
Y.
,
He
,
Y.
,
Zhang
,
Z.
, and
Wen
,
D.
, 2017
, “
Effect of Al2O3 Nanoparticle Dispersion on the Specific Heat Capacity of a Eutectic Binary Nitrate Salt for Solar Power Applications
,” Energy Convers. Manage.
,
142
, pp. 366
–73
.10.1016/j.enconman.2017.03.06225.
Jo
,
B.
, and
Banerjee
,
D.
, 2014
, “
Enhanced Specific Heat Capacity of Molten Salt-Based Nanomaterials: Effects of Nanoparticle Dispersion and Solvent Material
,” Acta Mater.
,
75
, pp. 80
–91
.10.1016/j.actamat.2014.05.00526.
Lasfargues
,
M.
,
Bell
,
A.
, and
Ding
,
A.
, 2016
, “
In Situ Production of Titanium Dioxide Nanoparticles in Molten Salt Phase for Thermal Energy Storage and Heat-Transfer Fluid Applications
,” J. Nanopart. Res.
,
18
(6
), pp. 1
–11
.27.
Hentschke
,
R.
, 2016
, “
On the Specific Heat Capacity Enhancement in Nanofluids
,” Nanoscale Res. Lett.
,
11
(1
), pp. 1
–11
.28.
Tiznobaik
,
H.
, and
Shin
,
D.
, 2013
, “
Experimental Validation of Enhanced Heat Capacity of Ionic Liquid-Based Nanomaterial
,” Appl. Phys. Lett.
,
102
(17
), pp. 173906
–14
.10.1063/1.480164529.
Choi
,
S.
, 1995
, “
Enhancing Thermal Conductivity of Fluids With Nanoparticles
,” ASME-Publications-Fed, 231, pp. 99-106.
30.
Keblinski
,
P.
,
Eastman
,
J.
, and
Cahill
,
D.
, 2005
, “
Nanofluids for Thermal Transport
,” Mater. Today
,
8
(6
), pp. 36
–44
.10.1016/S1369-7021(05)70936-631.
Wang
,
X. Q.
, and
Mujumdar
,
A.
, 2007
, “
Heat Transfer Characteristics of Nanofluids: A Review
,” Int. J. Therm. Sci.
,
46
(1
), pp. 1
–19
.10.1016/j.ijthermalsci.2006.06.01032.
Zhou
,
S. Q.
, and
Ni
,
R.
, 2008
, “
Measurement of the Specific Heat Capacity of Water-Based Al2 O3 Nanofluid
,” Appl. Phys. Lett.
,
92
(9
), p. 093123
.10.1063/1.289043133.
Namburu
,
P.
,
Kulkarni
,
D.
,
Dandekar
,
A.
, and
Das
,
D.
, 2007
, “
Experimental Investigation of Viscosity and Specific Heat of Silicon Dioxide Nanofluids
,” Micro Nano Lett.
,
2
(3
), pp. 67
–71
.10.1049/mnl:2007003734.
Vajjha
,
R. S.
, and
Das
,
D. K.
, 2009
, “
Specific Heat Measurement of Three Nanofluids and Development of New Correlations
,” ASME J. Heat Transfer
,
131
(7
), p. 071601
.10.1115/1.309081335.
Buongiorno
,
J.
, 2006
, “
Convective Transport in Nanofluids
,” ASME J. Heat Transfer
,
128
(3
), pp. 240
–250
.10.1115/1.215083436.
Wang
,
L.
,
Tan
,
Z.
,
Sh
,
M.
,
Liang
,
D.
, and
Li
,
G.
, 2001
, “
Enhancement of Molar Heat Capacity of Nanostructured Al2O3
,” J. Nanopart. Res.
,
3
(5/6
), pp. 483
–487
.10.1023/A:101251421642937.
Wang
,
B. X.
,
Zhou
,
L. P.
, and
Peng
,
X. F.
, 2006
, “
Surface and Size Effects on the Specific Heat Capacity of Nanoparticles
,” Int. J. Thermophys.
,
27
(1
), pp. 139
–151
.10.1007/s10765-006-0022-938.
Salanne
,
M.
, and
Madden
,
P. A.
, 2011
, “
Polarization Effects in Ionic Solids and Melts
,” Mol. Phys.
,
109
(19
), pp. 2299
–2315
.10.1080/00268976.2011.61752339.
Chakraborty
,
B.
,
Wang
,
J.
, and
Eapen
,
J.
, 2013
, “
Multicomponent Diffusion in Molten LiCl-KCl: Dynamical Correlations and Divergent Maxwell-Stefan Diffusivities
,” Phys. Rev. E
,
87
(5
), p. 052312
.10.1103/PhysRevE.87.05231240.
Saeedian
,
M.
,
Mahjour-Shafiei
,
M.
,
Shojaee
,
E.
, and
Mohammadizadeh
,
M. R.
, 2012
, “
Specific Heat Capacity of TiO2 Nanoparticles
,” J. Comput. Theor. Nanosci.
,
9
(4
), pp. 616
–620
.10.1166/jctn.2012.207041.
Luo
,
W.
,
Hu
,
W.
, and
Xiao
,
S.
, 2008
, “
Size Effect on the Thermodynamic Properties of Silver Nanoparticles
,” J. Phys. Chem. C
,
112
(7
), pp. 2359
–2369
.10.1021/jp077015542.
Avramov
,
I.
, and
Michailov
,
M.
, 2008
, “
Specific Heat of Nanocrystals
,” J. Phys. Condens. Matter
,
20
(29
), p. 295224
.10.1088/0953-8984/20/29/29522443.
Janz
,
G.
, 2013
, Molten Salts Handbook
,
Elsevier
, Amsterdam, The Netherlands
.44.
Araki
,
N.
,
Matsuura
,
M.
,
Makino
,
A.
,
Hirata
,
T.
, and
Kato
,
Y.
, 1988
, “
Measurement of Thermophysical Properties of Molten Salts: Mixtures of Alkaline Carbonate Salts
,” Int. J. Thermophys.
,
9
(6
), pp. 1071
–1080
.10.1007/BF0113327445.
Chase
,
M.
, Jr.
,
Curnutt
,
J.
,
Downey
,
J.
, Jr.
,
McDonald
,
R.
,
Syverud
,
A.
, and
Valenzuela
,
E.
, 1982
, “
JANAF Thermochemical Tables, 1982 Supplement
,” J. Phys. Chem. Ref. Data
,
11
(3
), pp. 695
–940
.10.1063/1.55566646.
Parthé
,
E.
, and
Gelato
,
L. M.
, 1984
, “
The Standardization of Inorganic Crystal‐Structure Data: Erratum
,” Acta Crystallogr. Sect. A
,
40
(5
), pp. 616
–616
.10.1107/S010876738400125247.
Gray
,
D. E.
, 1972
, American Institute of Physics Handbook
,
McGraw‐Hill
,
New York
.48.
Hemingway
,
B. S.
, 1987
, “
Quartz; Heat Capacities From 340 to 1000 K and Revised Values for the Thermodynamic Properties
,” Am. Miner.
,
72
(3–4
), pp. 273
–279
. https://pubs.geoscienceworld.org/msa/ammin/article-abstract/72/3-4/273/104940/Quartz-heat-capacities-from-340-to-1000-K-and?redirectedFrom=fulltext49.
Pawar
,
V. B.
, 2015
, “
Computational Analysis of Nanostructures Formed in Molten Salt Nanofluids
,” MS thesis
,
The University of Texas at Arlington
, Arlington, TX
.https://rc.library.uta.edu/uta-ir/bitstream/handle/10106/24971/Pawar_uta_2502M_12967.pdf?sequence=150.
Plimpton
,
S.
, 1995
, “
Computational Limits of Classical Molecular Dynamics Simulations
,” Comput. Mater. Sci.
,
4
(4
), pp. 361
–364
.10.1016/0927-0256(95)00037-151.
Stukowski
,
A.
, 2010
, “
Visualization and Analysis of Atomistic Simulation Data With OVITO-the Open Visualization Tool
,” Modell. Simul. Mater. Sci. Eng.
,
18
(1
), p. 015012
.10.1088/0965-0393/18/1/015012Copyright © 2021 by ASME
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