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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.

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References

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Figures

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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