A new model for nanofluid conductivity based on the effects of clustering due to Brownian motion

Heat Transfer - Asian Research

Volumn 40, Issue 4, 2011, Pages 352-368

  Akbari, Mahmood ^a   Galanis, Nicolas ^a   Behzadmehr, Amin ^b  

^a UNIVERSITÉ DE SHERBROOKE   (Canada)

^b UNIVERSITY OF SISTAN AND BALUCHESTAN   (Iran)

Author keywords

Cluster size; Conductivity; Fractal theory; Micro convection; Nanofluids

Indexed keywords

CLUSTER SIZES; CONDUCTIVITY; FRACTAL THEORY; MICRO-CONVECTION; NANOFLUIDS;

BROWNIAN MOVEMENT;

NANOFLUIDICS;

EID: 79956134347     PISSN: 10992871     EISSN: 15231496     Source Type: Journal    
DOI: 10.1002/htj.20350     Document Type: Article

References (33)

1. Nan CW, Birringer R, Clarke DR. Effective thermal conductivity of particulate composites with interfacial thermal resistance. J Appl Phys 1997;81(10):6692-6699.
2. Buongiorno J, Venerus DC, Prabhat N. A benchmark study on the thermal conductivity of nanofluids. J Appl Phys 2009;106:094312.
3. Wang X, Mujumdar AS. A review on nanofluids-Part I: Theoretical and numerical investigations. Brazilian J Chem Eng 2008;25:613-630.
4. Murshed SMS, Leong KC, Yang C. Thermophysical and electrokinetic properties of nanofluids-A critical review. Appl Therm Eng 2008;28:2109-2125.
5. Maxwell JC. Electricity and magnetism. Oxford, UK: Clarendon; 1873.
6. Hamilton RL, Crosser OK. Thermal conductivity of heterogeneous two-component systems. Ind Eng Chem Fund 1962;1:187-191.
7. Xuan Y, Li Q, Hu W. Aggregation structure and thermal conductivity of nanofluids. AICHE J 2003;49:1038-1043.
8. Xu J, Yu B, Zou M. A new model for heat conduction of nanofluids based on fractal distributions of nanoparticles. J Phys D Appl Phys 2006;39:4486-4490.
9. Wen D, Ding Y. Experimental investigation into convective heat transfer of nanofluids at the entrance region under laminar flow conditions. Intl J Heat Mass Transf 2004;47:5181-5188.
10. Wen D, Ding Y. Formulation of nanofluids for natural convective heat transfer applications. Intl J Heat Fluid Flow 2005;26:855-864.
11. Masuda H, Ebata A, Teramae K. Alteration of thermal conductivity and viscosity of liquid by dispersing ultra-fine particles (Dispersion of γ -Al2O3, SiO2, and TiO2 ultra-fine particles). Netsu Bussei 1993.4:227-233.
12. Xie H, Wang J, Xi T. Thermal conductivity enhancement of suspensions containing nanosized alumina particles. J Appl Phys 2002;91:4568-4572.
13. Eastman JA, Choi US, Li S. Enhanced thermal conductivity through the development of nanofluids. Proceedings of the 1996 MRS Fall Symposium, Anonymous Materials Research Society, (Volume 457 pp. 3-11) December 2-5, Boston, MA, USA. 1997.
14. Das SK, Putra N, Thiesen P. Temperature dependence of thermal conductivity enhancement for nanofluids. Trans ASME, J Heat Transf 2003;125:567-574.
15. Wang X, Xu X, Choi SUS. Thermal conductivity of nanoparticle-fluid mixture. J Thermophys Heat Transf 1999;13:474-480.
16. Eastman JA, Choi SUS, Li S. Anomalously increased effective thermal conductivities of ethylene glycol-based nanofluids containing copper nanoparticles. Appl Phys Lett 2001;78:718-720.
17. Lee S, Choi SUS, Li S. Measuring thermal conductivity of fluids containing oxide nanoparticles. Trans ASME, J Heat Transf 1999;121:280-289.
18. Hwang Y, Park HS, Lee JK. Thermal conductivity and lubrication characteristics of nanofluids. Current Appl Phys 2006;6:e67-e71.
19. Liu M, Lin MC, Huang IT, Wang CC. Enhancement of thermal conductivity with CuO for nanofluids. Chem Eng Technol 2006;29:72-77.
20. Prasher R, Bhattacharya P, Phelan PE. Brownian-motion-based convective-conductive model for the effective thermal conductivity of nanofluids. J Heat Transf 2006;128:588-595.
21. Kumar DH, Patel HE, Kumar VRR. Model for heat conduction in nanofluids. Phys Rev Lett 2004;93:144301-1-144301-4.
22. Jang SP, Choi SUS. Effects of various parameters on nanofluid thermal conductivity. Trans ASME, J Heat Transf 2007;129:617-623.
23. Koo J, Kleinstreuer C. A new thermal conductivity model for nanofluids. J Nanoparticle Res 2004;6:577-588.
24. Shukla RK, Dhir VK. Effect of Brownian motion on thermal conductivity of nanofluids. J Heat Transf 2008;130: art. no. 042406.
25. Incropera FP, Dewitt DP. Fundamentals of heat and mass transfer. John Wiley & Sons: New York; 1976.
26. Brodkey RS, Kim DS, Sidner W. Fluid to particle heat transfer in a fluidized bed and to single particles. Int J Heat Mass Transf 1991;34:2327-2337.
27. Tomotika S, Aoi T, Yosinobu H. On the forces acting on a circular cylinder set obliquely in a uniform stream at low values of Reynolds number. Proc Roy Soc London, Anonymous 1953;219:233-244.
28. Meakin P. Fractal aggregates. Adv Colloid Interface Sci 1987;28:249-331.
29. Leonard MS. Fractal growth processes. Nature 1986;322:789-793.
30. Havlin S, Ben-Avraham D. Theoretical and numerical study of fractal dimensionality in self-avoiding walks. Physical Rev A 1982;26:1728-1734.
31. Danielson TJ, Muzzio FJ, Ottino JM. Aggregation and structure formation in chaotic and regular flows. Phys Rev Lett 1991;66:3128-3131.
32. Hansen S, Ottino JM. Aggregation and cluster size evolution in nonhomogeneous flows. J Colloid Interface Sci 1996;179:89-103.
33. Hong KS, Hong TK, Yang HS. Thermal conductivity of Fe nanofluids depending on the cluster size of nanoparticles. Appl Phys Lett 2006;88:1-3.