Effect of particle migration on the heat transfer of nanofluid

  • Kang, Hyun-Uk (Department of Chemical and Biological Engineering, Korea University) ;
  • Kim, Wun-Gwi (Department of Chemical and Biological Engineering, Korea University) ;
  • Kim, Sung-Hyun (Department of Chemical and Biological Engineering, Korea University)
  • Published : 2007.11.30

Abstract

A nanofluid is a mixture of solid nanoparticles and a common base fluid. Nanofluids have shown great potential in improving the heat transfer properties of liquids. However, previous studies on the characteristics of nanofluids did not adequately explain the enhancement of heat transfer. This study examined the distribution of particles in a fluid and compared the mechanism for the enhancement of heat transfer in a nanofluid with that in a general microparticle suspension. A theoretical model was formulated with shear-induced particle migration, viscosity-induced particle migration, particle migration by Brownian motion, as well as the inertial migration of particles. The results of the simulation showed that there was no significant particle migration, with no change in particle concentration in the radial direction. A uniform particle concentration is very important in the heat transfer of a nanofluid. As the particle concentration and effective thermal conductivity at the wall region is lower than that of the bulk fluid, due to particle migration to the center of a microfluid, the addition of microparticles in a fluid does not affect the heat transfer properties of that fluid. However, in a nanofluid, particle migration to the center occurs quite slowly, and the particle migration flux is very small. Therefore, the effective thermal conductivity at the wall region increases with increasing addition of nanoparticles. This may be one reason why a nanofluid shows a good convective heat transfer performance.

Keywords

References

  1. Abbott J.R., N. Tetlow, A.L. Graham, S.A. Altobelli, E. Fukushima, L.A. Mondy and T.S. Stephens, 1991, Experimental observations of particle migration in concentrated suspensions: Couette flow, J. Rheol., 35, 773-795 https://doi.org/10.1122/1.550157
  2. Acrivos A., G.K. Batchelor, E.J. Hinch, D.L. Koch and R. Mauri, 1992, Longitudinal shear-induced diffusion of spheres in a dilute suspension, J. Fluid Mech., 240, 651-657 https://doi.org/10.1017/S0022112092000247
  3. Batchelor G.K., 1977, The effect of Brownian motion on the bulk stress in a suspension of spherical particles, J. Fluid Mech., 83, 97-117 https://doi.org/10.1017/S0022112077001062
  4. Brady J. 1993, The rheological behavior of concentrated colloidal dispersions, J. Chem. Phys., 99, 567-581 https://doi.org/10.1063/1.465782
  5. Chen, X, Y.C. Lam, Z.Y. Wang and K.W. Tan, 2004, Determination of phenomenological constants of shear-induced particle migration model, Comp. Mater. Sci., 30, 223-229 https://doi.org/10.1016/j.commatsci.2004.03.010
  6. Ding, Y. and D. Wen, 2005, Particle migration in a flow of nanoparticle suspensions, Powder Tech., 149, 84-92 https://doi.org/10.1016/j.powtec.2004.11.012
  7. Frank, M., D. Anderson, E.R. Weeks and J.F. Morris, 2003, Particle migration in pressure-driven flow of a Brownian suspension, J. Fluid Mech., 493, 363-378 https://doi.org/10.1017/S0022112003006001
  8. Han, M.S., C. Kim, M. Kim, S. Lee, 1999, Particle migration in tube flow of suspensions, J. Rheol., 43, 1157-1174 https://doi.org/10.1122/1.551019
  9. Ho, B.P. and L.G. Leal, 1974, Inertial migration of rigid spheres in two-dimensional unidirectional flows, J. Fluid Mech., 65, 365-400 https://doi.org/10.1017/S0022112074001431
  10. Jang, S.P. and S.U.S. Choi, 2004, Role of Brownian motion in the enhanced thermal conductivity of nanofluid, Appl. Phys. Lett., 84, 4316-4318 https://doi.org/10.1063/1.1756684
  11. Jeffrey, R.C. and J.R. Pearson, 1965, Particle motion in laminar vertical tube flow, J. Fluid Mech., 22, 721-735 https://doi.org/10.1017/S0022112065001106
  12. Kim, C., 2001, Migration in concentrated suspension of spherical particles dispersed in polymer solution, Korea-Australia Rheol. J., 13, 19-27
  13. Kim, C., 2004, Mathematical model of migration of spherical particles in tube flow under the influence of inertia and particle-particle interaction, Korean J. Chem. Eng., 21, 27-33 https://doi.org/10.1007/BF02705377
  14. Koh C., P. Hookham and L.G. Leal, 1994, An experimental investigation of concentrated suspension flows in a rectangular channel, J. Fluid Mech., 266, 1-32 https://doi.org/10.1017/S0022112094000911
  15. Koo, J. and C. Kleinstreuer, 2004, A new thermal conductivity model for nanofluids, J. Nanoparticle Res., 6, 577-588 https://doi.org/10.1007/s11051-004-3170-5
  16. Koo, J. and C. Kleinstreuer, 2005, Impact anaylsis of nanoparticle motion mechanisms on nanofluid thermal conductivity, Int. Comm. Heat Mass Transfer, 32, 1111-1118 https://doi.org/10.1016/j.icheatmasstransfer.2005.05.014
  17. Leighton, D. and A. Acrivos, 1987, The shear-induced mirgation of particles in concentrated suspensions, J. Fluid Mech., 181, 415-439 https://doi.org/10.1017/S0022112087002155
  18. Nott P. and J.F. Brady, 1994, Pressure-driven flow of suspensions: simulation and theory, J. Fluid Mech., 275, 157-199 https://doi.org/10.1017/S0022112094002326
  19. Oliver, R, 1962, Influence of particle rotation on radial migration in the Poiseuille flow of suspensions, Nature, 194, 1269-1271
  20. Prasher, R., P. Bhattacharya and P.E. Phelan, 2005, Thermal conductivity of nanoscale colloidal solutions (nanofluids), Phys. Rev. Lett., 94, 025901
  21. Phillips, R.J., R.C. Armstrong, R.A. Brown, A.L. Graham and J.R. Abbott, 1992, A constitutive equation for concentrated suspensions that accounts for shear-induced particle migration, Phys. Fluids A, Fluid Dyn., 4, 30-40 https://doi.org/10.1063/1.858498
  22. Segrè, G. and A. Silberberg, 1962, Behavior of macroscopic rigid spheres in Poiseuille flow: Part 2. Experimental results and interpretation, J. Fluid Mech., 14, 136-157 https://doi.org/10.1017/S0022112062001111
  23. Sieder E.N. and G.E. Tate, 1936, Heat Transfer and Pressure Drop of Liquids in Tube, Ind. Eng. Chem., 28(12), 1429–1435 https://doi.org/10.1021/ie50324a028
  24. Tachibana, M., 1973, 'On the behaviour of a sphere in the laminar tube flows', Rheol. Acta, 12, 58-69 https://doi.org/10.1007/BF01526901
  25. Xuan .Y and Q. Li, 2003, Investigation on convective heat transfer and flow features of nanofluids, J. Heat Trans., 125, 151-155 https://doi.org/10.1115/1.1532008
  26. Wen D. and Y. Ding, 2004, Experimental investigation into convective heat transfer of naofluids at the entrance region under laminar flow conditions, Int. J. Heat Mass Trans., 47, 5181 https://doi.org/10.1016/j.ijheatmasstransfer.2004.07.012
  27. Yang Y., Z.G. Zhang, E.A. Grulke, W.B. Anderson and G. Wu, 2005, Heat transfer properties of nanoparticle-in-fluid dispersions (nanofluids) in laminar flow, Int. J. Heat Mass Trans., 48, 117-1116