Abstract
This article provides a response to a recent brief communication ‘Comments on the effect of liquid layering on the thermal conductivity of nanofluids’ by Doroodchi et al. in J Nanopart Res 11(6):1501–1507, 2009. It provides an opportunity for us to clarify the fundamental differences between the models of Yu and Choi (2003) and Leong et al. (2006) mentioned in the communication, followed by an explanation of the development of Leong et al.’s model. While we re-affirm that the model of Leong et al. (2006) was developed based on the right methodology, appropriate boundary conditions and mathematical basis and is therefore valid, there are at least three incorrect equations in Doroodchi et al.’s communication which raise serious doubts on their results calculated from the above models. Hence, the comments by Doroodchi et al. (2009) about the model of Leong et al. (2006) are not well-justified.
References
Das SK, Putra N, Thiesen P, Roetzel W (2003) Temperature dependence of thermal conductivity enhancement for nanofluids. J Heat Transf 125:567–574
Doroodchi E, Evans TM, Moghtaderi B (2009) Comments on the effect of liquid layering on the thermal conductivity of nanofluids. J Nanopart Res 11:1501–1507
Hadjov KB (2009) Modified self-consisted scheme to predict the thermal conductivity of nanofluids. Int J Therm Sci 48:2249–2254
Hamilton RL, Crosser OK (1962) Thermal conductivity of heterogeneous two component systems. Ind Eng Chem Fund 1:187–191
Kwak K, Kim C (2005) Viscosity and thermal conductivity of copper oxide nanofluid dispersed in ethylene glycol. Korea-Australia Rheol J 17(2):35–40
Lee YM, Yang RB, Gau SS (2006) A generalized self-consistent method for calculation of effective thermal conductivity of composites with interfacial contact conductance. Int Commun Heat Mass Transf 33:142–150
Leong KC, Yang C, Murshed SMS (2006) A model for the thermal conductivity of nanofluids—the effect of interfacial layer. J Nanopart Res 8:245–254
Lide DR (1991) Handbook of chemistry and physics, 72nd edn. The Chemical Rubber Co., Boca Raton, USA
Maxwell JC (1891) A treatise on electricity and magnetism, 3rd edn. Clarendon Press, Oxford, UK
Schwartz LM, Garboczi EJ, Bentz DP (1995) Interfacial transport in porous media: application to DC electrical conductivity of mortars. J Appl Phys 78(10):5898–5908
Tychonov AN, Samarski AA (1967) Partial differential equations of mathematical physics, vol II. Holden-Day, Inc., San Francisco, USA
Xie HQ, Wang JC, Xi TG, Liu Y, Ai F, Wu Q (2002) Thermal conductivity enhancement of suspensions containing nanosized alumina particles. J Appl Phys 91:4568–4572
Xue Q (2002) A novel model of dielectric constant of two-phase composites with interfacial shells. Int J Mod Phys B 16:3855–3863
Xue Q, Xu WM (2005) A model of thermal conductivity of nanofluids with interfacial shells. Mater Chem Phys 90:298–301
Yu W, Choi SUS (2003) The role of interfacial layers in the enhanced thermal conductivity of nanofluids: a renovated Maxwell model. J Nanopart Res 5:167–171
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Murshed, S.M.S., Leong, K.C. & Yang, C. A response to ‘Comments on the effect of liquid layering on the thermal conductivity of nanofluids’, E. Doroodchi, T. M. Evans & B. Moghtaderi, 2009. J Nanopart Res 11(6):1501–1507. J Nanopart Res 12, 2007–2010 (2010). https://doi.org/10.1007/s11051-010-9901-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11051-010-9901-x