Investigation on Nanoparticle Velocity in Two Phase Approach

Authors: E. Mat Tokit, Yusoff M. Z, Mohammed H.

Abstract:

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.

Keywords: Brownian nanoparticle velocity, heat transfer enhancement, nanofluid, two phase model.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1088534

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.