A continuum Maxwell theory for the thermal conductivity of clustered nanocolloids
Source abstract
Abstract
Colloidal clusters conduct heat more efficiently compared to fully dispersed particles at the same volume fraction. Here we present a predictive model to calculate the thermal conductivity of clusters by extending Maxwell’s theory to non-spherical particles. We treat clusters as spheres with effective thermal conductivity k c and volume fraction ϕ c . We calculate the conductivity of the cluster from the upper bound of Maxwell’s theory and the conductivity of a dispersion of such clusters from the lower limit of the theory. We find that structure effects can be represented by a single parameter and provide a method to obtain this parameter from numerical simulations. We test the theory against a system of colloidal clusters produced by controlled aggregation of silica spheres 39 nm in diameter and obtain good agreement. The results suggest that the variability of literature data and the unusually high values of thermal conductivity that have been reported in the literature can be explained quantitatively by the presence of clusters.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Nanofluid Flow and Heat Transfer · Thermal properties of materials · Thermoelastic and Magnetoelastic Phenomena
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (18)
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1. Buongiorno J, Venerus DC, Prabhat N, McKrell T, Townsend J, Christianson R, Tolmachev YV, Keblinski P, Hu LW, Alvarado JL, Bang IC, Bishnoi SW, Bonetti M, Botz F, Cecere A, Chang Y, Chen G, Chen H, Chung SJ, Chyu MK, Das SK, Paola RD, Ding Y, Dubois F, Dzido G, Eapen J, Escher W, Funfschilling D, Galand Q, Gao J, Gharagozloo PE, Goodson KE, Gutierrez JG, Hong H, Horton M, Hwang KS, Iorio CS, Jang SP, Jarzebski AB, Jiang Y, Jin L, Kabelac S, Kamath A, Kedzierski MA, Kieng LG, Kim C, Kim JH, Kim S, Lee SH, Leong KC, Manna I, Michel B, Ni R, Patel HE, Philip J, Poulikakos D, Reynaud C, Savino R, Singh PK, Song P, Sundararajan T, Timofeeva E, Tritcak T, Turanov AN, Van Vaerenbergh S, Wen D, Witharana S, Yang C, Yeh WH, Zhao XZ, Zhou SQ (2009) A benchmark study on the thermal conductivity of nanofluids. J Appl Phys 106(9):094312. doi: 10.1063/1.3245330 . URL http://link.aip.org/link/?JAP/106/094312/110.1063/1.3245330 ↗
2. Das SK, Choi SUS, Patel HE (2006) Heat transfer in nanofluids–a review. Heat Transf Eng 27(10):3–19. ISSN 01457632. doi: 10.1080/01457630600904593 . URL http://ezaccess.libraries.psu.edu/login?url=search.ebscohost.com/login.aspx?direct=true&db=a9h&AN=22483223&site=ehost-live10.1080/01457630600904593 ↗
3. Deshmukh AA, Mhlanga SD, Coville NJ (2010) Carbon spheres. Mater Sci Eng 70(1–2):1–28. ISSN 0927–796X. doi: 10.1016/j.mser.2010.06.017 . URL http://www.sciencedirect.com/science/article/B6TXH-50J9VR2-1/2/c13238e3088e756db28c8b36af3ab8b610.1016/j.mser.2010.06.017 ↗
4. DeW C, Siclen Van (1999) Walker diffusion method for calculation of transport properties of composite materials. Phys Rev E 59:2804–2807. doi: 10.1103/PhysRevE.59.2804 . URL http://link.aps.org/doi/10.1103/PhysRevE.59.280410.1103/PhysRevE.59.2804 ↗
5. Eapen J, Rusconi R, Piazza R, Yip S (2010) The classical nature of thermal conduction in nanofluids. J Heat Transf 132(10):102402. doi: 10.1115/1.4001304 . URL http://link.aip.org/link/?JHR/132/102402/110.1115/1.4001304 ↗
6. Evans W, Prasher R, Fish J, Meakin P, Phelan P, Keblinski P (2008) Effect of aggregation and interfacial thermal resistance on thermal conductivity of nanocomposites and colloidal nanofluids. Int J Heat Mass Transf 51(5–6):1431–1438. ISSN 0017–9310. doi: 10.1016/j.ijheatmasstransfer.2007.10.017 . URL http://www.sciencedirect.com/science/article/pii/S001793100700627810.1016/j.ijheatmasstransfer.2007.10.017 ↗
7. Keblinski P, Prasher R, Eapen J (2008) Thermal conductance of nanofluids: is the controversy over? J Nanoparticle Res 10(7):1089–1097. doi: 10.1007/s11051-007-9352-1 . URL http://dx.doi.org/10.1007/s11051-007-9352-110.1007/s11051-007-9352-1 ↗
8. Lotfizadeh S, Desai T, Matsoukas T (2014) The thermal conductivity of clustered nanocolloids. APL Mater 2(6):066102. doi: 10.1063/1.4880975 . URL http://scitation.aip.org/content/aip/journal/aplmater/2/6/10.1063/1.488097510.1063/1.4880975 ↗
9. Maxwell JK (1954) Treatise on electricity and magnetism. Dover, reprint of the 1891 edition
10. Prasher R, Evans W, Meakin P, Fish J, Phelan P, Keblinski P (2006a) Effect of aggregation on thermal conduction in colloidal nanofluids. Appl Phys Lett 89(14):143119. doi: 10.1063/1.2360229 . URL http://link.aip.org/link/?APL/89/143119/110.1063/1.2360229 ↗
11. Prasher R, Phelan PE, Bhattacharya P (2006b) Effect of aggregation kinetics on the thermal conductivity of nanoscale colloidal solutions (nanofluid). Nano Lett 6(7):1529–1534. doi: 10.1021/nl060992s . URL http://pubs.acs.org/doi/abs/10.1021/nl060992s10.1021/nl060992s ↗
12. Timofeeva EV, Gavrilov AN, McCloskey JM, Tolmachev YV, Sprunt S, Lopatina LM, Selinger JV (2007) Thermal conductivity and particle agglomeration in alumina nanofluids: experiment and theory. Phys Rev E 76(6):061203. doi: 10.1103/PhysRevE.76.06120310.1103/PhysRevE.76.061203 ↗
13. Visinee T, Somchai W (2007) Critical review of heat transfer characteristics of nanofluids. Renew Sustain Energy Rev 11(3):512–523. ISSN 1364–0321. doi: 10.1016/j.rser.2005.01.010 . URL http://www.sciencedirect.com/science/article/B6VMY-4FW7K7H-1/2/75b617fe4d027d23c1c06caa47eb82ab10.1016/j.rser.2005.01.010 ↗
14. Venerus D, Jiang Y (2011) Investigation of thermal transport in colloidal silica dispersions (nanofluids). J Nanoparticle Res 13(7):3075–3083. doi: 10.1007/s11051-010-0207-9 . URL http://dx.doi.org/10.1007/s11051-010-0207-910.1007/s11051-010-0207-9 ↗
15. Wang BX, Zhou LP, Peng XF (2003) A fractal model for predicting the effective thermal conductivity of liquid with suspension of nanoparticles. Int J Heat Mass Transf 46(14):2665–2672. ISSN 0017–9310. doi: 10.1016/S0017-9310(03)00016-4 . URL http://www.sciencedirect.com/science/article/B6V3H-47YPF5N-2/2/5fbe086f006c9c3091dc8f83349e60e910.1016/S0017-9310(03)00016-4 ↗
16. Wong KV, Castillo MJ (2010) Heat transfer mechanisms and clustering in nanofluids. Adv Mech Eng 2010: Article ID 795478. doi: 10.1155/2010/79547810.1155/2010/795478 ↗
17. Wong Kaufui V, De Leon Omar (2010) Applications of nanofluids: current and future. Adv Mech Eng 210:519659. doi: 10.1155/2010/51965910.1155/2010/519659 ↗
18. Xu J, Yu BM, Yun MJ (2006) Effect of clusters on thermal conductivity in nanofluids. Chinese Phys Lett, 23(10):2819. URL http://stacks.iop.org/0256-307X/23/i=10/a=053