Investigation on Nanoparticle Velocity in Two Phase Approach

Numerical investigation on the generality of nanoparticle velocity equation had been done on the previous published work. The three dimensional governing equations (continuity, momentum and energy) were solved using finite volume method (FVM). Parametric study of thermal performance between pure water-cooled and nanofluid-cooled are evaluated for volume fraction in the range of 1% to 4%, and nanofluid type of gamma-Al2O3 at Reynolds number range of 67.41 to 286.77. The nanofluid is modeled using single and two phase approach. Three different existing Brownian motion velocities are applied in comparing the generality of the equation for a wide parametric condition. Deviation in between the Brownian motion velocity is identified to be due to the different means of mean free path and constant value used in diffusion equation.





References:
[1] Akbari, M., N. Galanis, and A. Behzadmehr, Comparative analysis of
single and two-phase models for CFD studies of nanofluid heat transfer.
International Journal of Thermal Sciences, 2011. 50: p. 1343-1354. [2] Kalteh, M., et al., Eulerian-Eulerian two-phase numerical simulation of
nanofluid laminar forced convection in a microchannel. International
Journal of Heat and Fluid Flow, 2011. 32(1): p. 107-116.
[3] Chein, R. and G. Huang., Analysis of microchannel heat sink
performance using nanofluids. Applied Thermal Engineering, 2005.
25(17-18): p. 3104-3114.
[4] Alinia, M., D.D. Ganji, and M. Gorji-Bandpy, Numerical study of mixed
convection in an inclined two sided lid driven cavity filled with
nanofluid using two-phase mixture model. International
Communications in Heat and Mass Transfer, 2011. 38(10): p. 1428-
1435.
[5] Mirmasoumi, S. and A. Behzadmehr., Numerical study of laminar mixed
convection of a nanofluid in a horizontal tube using two-phase mixture
model. Applied Thermal Engineering, 2008. 28(7): p. 717-727.
[6] Shariat, M., et al., Numerical study of two phase laminar mixed
convection nanofluid in elliptic ducts. Applied Thermal Engineering,
2011. 31(14-15): p. 2348-2359.
[7] Kalteh, M., et al., Experimental and numerical investigation of nanofluid
forced convection inside a wide microchannel heat sink. Applied
Thermal Engineering 2012. 36: p. 260-268.
[8] Patankar, S.V., Numerical Heat Transfer and Fluid Flow. 1980, New
York: Hemisphere Publishing Corporation.
[9] Sahoo, B.C., Measurement of Rheological and Thermal Properties and
the Freeze-Thaw Characteristics of Nanofluids. 2008: University of
Alaska Fairbanks.
[10] Vajjha, R.S. and D.K. Das, Measurement of thermal conductivity of
three nanofluids and development of new correlations. Int. J. Heat Mass
Transfer, 2009. 52: p. 4675-4682.
[11] Xuan, Y. and W. Roetzel, Conceptions for heat transfer correlation of
nanofluids. Int. J. Heat Mass Transfer, 2000. 43(19): p. 3701-3707.
[12] Patel, H.E., et al., A micro-convection model for thermal conductivity of
nanofuids. Journal of Physics, 2005. 65(5): p. 863-869.
[13] Jang, S.P. and S.U.S. Choi, Role of Brownian motion in the enhanced
thermal conductivity of nanofluids. Appl. Phys. Lett, 2004. 84.
[14] Koo, J. and C. Kleinstreuer, A new thermal conductivity model for
nanofluids. Journal of Nanoparticle Research, 2004. 6(6): p. 577-588.
[15] Prasher, R., P. Bhattacharya, and P.E. Phelan, Brownian-Motion-Based
Convective-Conductive Model for the Effective Thermal Conductivity
of Nanofluids. Journal of Heat Transfer, 2006. 128: p. 588-595.
[16] Probstein, R.F., Physicochemical Hydrodynamics-A Introduction. 2003:
A Wiley-Interscience Publication, John Wiley & Sons, INC.