Experimental and theoretical studies of nanofluid thermal conductivity enhancement: a review

Abstract

Nanofluids, i.e., well-dispersed (metallic) nanoparticles at low- volume fractions in liquids, may enhance the mixture's thermal conductivity, knf, over the base-fluid values. Thus, they are potentially useful for advanced cooling of micro-systems. Focusing mainly on dilute suspensions of well-dispersed spherical nanoparticles in water or ethylene glycol, recent experimental observations, associated measurement techniques, and new theories as well as useful correlations have been reviewed.It is evident that key questions still linger concerning the best nanoparticle-and-liquid pairing and conditioning, reliable measurements of achievable knf values, and easy-to-use, physically sound computer models which fully describe the particle dynamics and heat transfer of nanofluids. At present, experimental data and measurement methods are lacking consistency. In fact, debates on whether the anomalous enhancement is real or not endure, as well as discussions on what are repeatable correlations between knf and temperature, nanoparticle size/shape, and aggregation state. Clearly, benchmark experiments are needed, using the same nanofluids subject to different measurement methods. Such outcomes would validate new, minimally intrusive techniques and verify the reproducibility of experimental results. Dynamic knf models, assuming non-interacting metallic nano-spheres, postulate an enhancement above the classical Maxwell theory and thereby provide potentially additional physical insight. Clearly, it will be necessary to consider not only one possible mechanism but combine several mechanisms and compare predictive results to new benchmark experimental data sets.

Figure 1

Experimental data for the relationship between k_nf and volume fraction. See refs. [14,16,19,23,26,32,46-48,53,87,88].

Figure 2

Experimental data for the relationship between k_nf and temperature. See refs. [14,16,26,44,48,57,63,89,90].

Figure 3

Comparison of experimental data. (a) Comparison of the experimental data for CuO-water nanofluids with Jang and Choi's model [78] for different random motion velocity definitions [80]. (b) Comparison of the experimental data for Al₂O₃-water nanofluids with Jang and Choi's model [78] for different random motion velocity definitions [80].

Figure 4

Comparisons between Prasher's model [81], the F-K model [86], and benchmark experimental data [16,44,57].

Figure 5

Comparisons between KKL model and benchmark experimental data [82].

Figure 6

Comparisons between Bao's model, F-K model and benchmark experimental data.

Figure 7

Comparisons between the F-K model and benchmark experimental data.