Technical Brief

Role of Thermal-Interaction Between Aggregated Particles in Thermal Conductivity Enhancement of Nanofluids

[+] Author and Article Information
Jae Sik Jin

Department of Mechanical Engineering,
Massachusetts Institute of Technology,
Cambridge, MA 02139
e-mail: jinjs91@snu.ac.kr

Joon Sik Lee

Division of WCU Multiscale Mechanical Design,
School of Mechanical and Aerospace Engineering,
Seoul National University,
Seoul 151-744, South Korea

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the Journal of Heat Transfer. Manuscript received September 24, 2011; final manuscript received October 3, 2012; published online February 8, 2013. Assoc. Editor: Patrick E. Phelan.

J. Heat Transfer 135(3), 034501 (Feb 08, 2013) (4 pages) Paper No: HT-11-1457; doi: 10.1115/1.4022995 History: Received September 24, 2011; Revised October 03, 2012

This study investigates the role of thermal-interaction (TI) between aggregated particles (APs) on the enhanced thermal conductivity of nanofluids. With the assumption of configurations of linear chain-like aggregates in the direction transverse to the thermal flux, two-dimensional heat conduction is considered for estimation of the effective thermal conductivity of regular arrays, which is separated into three components, namely, no thermal-interaction (NTI) effect, longitudinal thermal-interaction (LTI) effect, and transverse thermal-interaction (TTI) effect. We have obtained a solution to the 1D confine case of APs, and a thermal analysis is carried out for different confine systems to investigate their relatively quantitative assessments of thermal contribution to the enhanced effective thermal conductivity using the first-order approximation. We show that these effects are represented as a function of ϕ (where ϕ is the volume fraction of APs) for engineering purposes. It is also found that TI contribution to the enhanced thermal conduction reaches up to around 87.5% when APs contact with each other and that TTI has an important role in the range 0.3785 ≤ ϕ ≤ 0.7031 due to the confine effect of field-variation caused by transversely bidirectional thermal-interactions. When ϕ > 0.7031, LTI effect again plays key role in heat conduction in nanofluid systems owing to closed packing of APs. Consequently, to achieve energy-efficient heat transfer nanofluids that are required in many industrial applications, both APs' distribution configuration and APs' volume fraction have to be considered in the thermal analysis of nanofluids.

Copyright © 2013 by ASME
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Gao, J. W., Zheng, R. T., and Ohtani, H., Zhu, D. S., and Chen, G., 2009, “Experimental Investigation of Heat Conduction Mechanisms in Nanofluids. Clue on Clustering,” Nano Lett., 9(12), pp. 4128–4132. [CrossRef]
Fan, J., and Wang, L., 2011, “Review of Heat Conduction in Nanofluids,” ASME J. Heat Transfer, 133(4), p. 040801. [CrossRef]
Philip, J., Shima, P. D., and Raj, B., 2008, “Evidence for Enhanced Thermal Conduction Through Percolating Structures in Nanofluids,” Nanotechnology, 19(30), p. 305706. [CrossRef]
Prasher, R., Evans, W., and Meakin, P., Fish, J., Phelan, P., and Keblinski, P., 2006, “Effect of Aggregation on Thermal Conduction in Colloidal Nanofluids,” Appl. Phys. Lett., 89(14), p. 143119. [CrossRef]
Prasher, R., Phelan, P. E., and Bhattacharya, P., 2006, “Effect of Aggregation Kinetics on the Thermal Conductivity of Nanoscale Colloidal Solutions (Nanofluid),” Nano Lett., 6(7), pp. 1529–1534. [CrossRef]
Meakin, P., 1983, “Formation of Fractal Clusters and Networks by Irreversible Diffusion-Limited Aggregation,” Phys. Rev. Lett., 51(13), pp. 1119–1122. [CrossRef]
Kolb, M., Botet, R., and Jullien, R., 1983, “Scaling of Kinetically Growing Clusters,” Phys. Rev. Lett., 51(13), pp. 1123–1126. [CrossRef]
Islam, M. R., and Pramila, A., 1999, “Thermal Conductivity of Fiber Reinforced Composites by the FEM,” J. Compos. Mater., 33(18), pp. 1699–1715. [CrossRef]
Yan, P., Jiang, C. P., and Song, F., 2010, “A Complex Variable Solution of Two-Dimensional Heat Conduction of Composites Reinforced With Periodic Arrays of Cylindrically Orthotropic Fibers,” Comput. Mater. Sci., 50(2), pp. 704–713. [CrossRef]
Prasher, R., Song, D., Wang, J., and Phelan, P., 2006, “Measurements of Nanofluid Viscosity and Its Implications for Thermal Applications,” Appl. Phys. Lett., 89(13), p. 133108. [CrossRef]
Kole, M., and Dey, T. K., 2011, “Effect of Aggregation on the Viscosity of Copper Oxide-Gear Oil Nanofluids,” Int. J. Therm. Sci., 50(9), pp. 1741−1747. [CrossRef]


Grahic Jump Location
Fig. 1

Schematics of several arrays considering in present study with heat flux in the x-direction: (a) 1D confine; (b) infinite; and (c) 2D confine

Grahic Jump Location
Fig. 2

(a) A comparison of dimensionless thermal conductivity of 1D confine with the infinite and 2D confine as a function of volume fraction. (b) Contribution of each component of NTI, LTI, and TTI to the effective thermal conductivity enhancement. Here, NTI_app, LTI_app, and TTI_app are obtained from the first-order approximation.



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