References
- 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
- 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
- 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
- Brady J. 1993, The rheological behavior of concentrated colloidal dispersions, J. Chem. Phys., 99, 567-581 https://doi.org/10.1063/1.465782
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- Kim, C., 2001, Migration in concentrated suspension of spherical particles dispersed in polymer solution, Korea-Australia Rheol. J., 13, 19-27
- 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
- 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
- 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
- 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
- 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
- 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
- Oliver, R, 1962, Influence of particle rotation on radial migration in the Poiseuille flow of suspensions, Nature, 194, 1269-1271
- Prasher, R., P. Bhattacharya and P.E. Phelan, 2005, Thermal conductivity of nanoscale colloidal solutions (nanofluids), Phys. Rev. Lett., 94, 025901
- 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
- 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
- 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
- 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
- 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
- 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
- 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