Effect of Thermophoresis, Brownian and Turbulent Mass Fluxes in the Simulation of Two-Phase Turbulent Free Convection of Nanofluid Inside the Enclosure using v2-f Model

Document Type : Research Article

Author

department of renewable energy, faculty of mechanical engineering, urmia university of technology

Abstract

In this article, two-phase alumina-water turbulent natural convection with Reynolds-averaged Navier-Stokes based v2-f model in a square cavity has been investigated. Buongiorno’s two-phase model is modified for considering the nanoparticles diffusion via turbulent flow eddies. Using the finite volume method and the semi-implicit method for pressure-linked equations algorithm, the governing equations along with boundary conditions have been discretized. The left and right vertical walls of the cavity are kept at constant temperatures, while the other walls are thermally insulated. Calculations are performed for high Rayleigh numbers (107–109) and average volume fractions of nanoparticles (0 - 0.04). The results are analyzed through the thermal and dynamical fields with a particular interest in the turbulent intensity, turbulent kinetic energy, thermophoresis, Brownian and turbulent mass flux distribution inside the cavity, and Nusselt number variations. It is shown that nanoparticles had no significant effects on turbulent kinetic energy and intensity, and the thermophoresis effect is dominant at the near-wall regions. Furthermore, there are optimal average volume fractions with the maximum heat transfer rate depending on the Rayleigh number. Moreover, the magnitude of the turbulent Schmidt number had a negligible effect on the estimation of heat transfer rate. Against, low turbulent Prandtl numbers predicted higher values for the Nusselt number.

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References

[1] G. Zhang, S.G. Kandlikar, A critical review of cooling techniques in proton exchange membrane fuel cell stacks, international journal of hydrogen energy, 37(3) (2012) 2412-2429.
[2] T.B. Gorji, A. Ranjbar, Thermal and exergy optimization of a nanofluid-based direct absorption solar collector, Renewable Energy, 106 (2017) 274-287.
[3] M. Bouhalleb, H. Abbassi, Natural convection in an inclined rectangular enclosure filled by CuO–H2O nanofluid, with sinusoidal temperature distribution, International Journal of Hydrogen Energy, 40(39) (2015) 13676-13684.
[4] A. Boualit, N. Zeraibi, T. Chergui, M. Lebbi, L. Boutina, S. Laouar, Natural convection investigation in square cavity filled with nanofluid using dispersion model, International Journal of Hydrogen Energy, 42(13) (2017) 8611-8623.
[5] M. Bovand, S. Rashidi, J. Esfahani, Enhancement of heat transfer by nanofluids and orientations of the equilateral triangular obstacle, Energy conversion and management, 97 (2015) 212-223.
[6] S. Jayhooni, M. Rahimpour, Effect of different types of nanofluids on free convection heat transfer around spherical mini-reactor, Superlattices and Microstructures, 58 (2013) 205-217.
[7] R. Jmai, B. Ben-Beya, T. Lili, Heat transfer and fluid flow of nanofluid-filled enclosure with two partially heated side walls and different nanoparticles, Superlattices and Microstructures, 53 (2013) 130-154.
[8] D. Wen, Y. Ding, Experimental investigation into convective heat transfer of nanofluids at the entrance region under laminar flow conditions, International journal of heat and mass transfer, 47(24) (2004) 5181-5188.
[9] Y. He, Y. Men, Y. Zhao, H. Lu, Y. Ding, Numerical investigation into the convective heat transfer of TiO2 nanofluids flowing through a straight tube under the laminar flow conditions, Applied Thermal Engineering, 29(10) (2009) 1965-1972.
[10] R.M. Moghari, A. Akbarinia, M. Shariat, F. Talebi, R. Laur, Two phase mixed convection Al2O3–water nanofluid flow in an annulus, International Journal of Multiphase Flow, 37(6) (2011) 585-595.
[11] J. Buongiorno, Convective transport in nanofluids,  (2006).
[12] M. Corcione, M. Cianfrini, A. Quintino, Two-phase mixture modeling of natural convection of nanofluids with temperature-dependent properties, International Journal of Thermal Sciences, 71 (2013) 182-195.
[13] M. Corcione, E. Habib, A. Quintino, A two-phase numerical study of buoyancy-driven convection of alumina–water nanofluids in differentially-heated horizontal annuli, International Journal of Heat and Mass Transfer, 65 (2013) 327-338.
[14] H.A. Pakravan, M. Yaghoubi, Analysis of nanoparticles migration on natural convective heat transfer of nanofluids, International Journal of Thermal Sciences, 68 (2013) 79-93.
[15] G.A. Sheikhzadeh, M. Dastmalchi, H. Khorasanizadeh, Effects of nanoparticles transport mechanisms on Al2O3–water nanofluid natural convection in a square enclosure, International Journal of Thermal Sciences, 66 (2013) 51-62.
[16] F. Garoosi, S. Garoosi, K. Hooman, Numerical simulation of natural convection and mixed convection of the nanofluid in a square cavity using Buongiorno model, Powder technology, 268 (2014) 279-292.
[17] M.A. Sheremet, T. Groşan, I. Pop, Free convection in shallow and slender porous cavities filled by a nanofluid using Buongiorno's model, Journal of heat transfer, 136(8) (2014).
[18] M.A. Sheremet, I. Pop, M.M. Rahman, Three-dimensional natural convection in a porous enclosure filled with a nanofluid using Buongiorno’s mathematical model, International Journal of Heat and Mass Transfer, 82 (2015) 396-405.
[19] N. Hazeri-Mahmel, Y. Shekari, A. Tayebi, Numerical Study of Mixed Convection Heat Transfer in a Cavity Filled with NonNewtonian Nanofluids Utilizing Two-phase Mixture Model, Amirkabir Journal of Mechanical Engineering, 50(6) (2019) 1199-1212.
[20] S.Y. Motlagh, H. Soltanipour, Natural convection of Al2O3-water nanofluid in an inclined cavity using Buongiorno's two-phase model, International Journal of Thermal Sciences, 111 (2017) 310-320.
[21] S.Y. Motlagh, S. Taghizadeh, H. Soltanipour, Natural convection heat transfer in an inclined square enclosure filled with a porous medium saturated by nanofluid using Buongiorno’s mathematical model, Advanced Powder Technology, 27(6) (2016) 2526-2540.
[22] S.Y. Motlagh, E. Golab, A.N. Sadr, Two-phase modeling of the free convection of nanofluid inside the inclined porous semi-annulus enclosure, International Journal of Mechanical Sciences, 164 (2019) 105183.
[23] G.A. Sheikhzadeh, M. Sepehrnia, M. Rezaie, M. Mollamahdi, Natural Convection of Turbulent Al2O3-Water Nanofluid with Variable Properties in a Cavity with a Heat Source and Heat Sink on Vertical Walls, Amirkabir Journal of Mechanical Engineering, 50(6) (2017) 1237-1250.
[24] H. Sajjadi, M. Gorji, G. Kefayati, D. Ganji, Lattice Boltzmann simulation of turbulent natural convection in tall enclosures using Cu/water nanofluid, Numerical Heat Transfer, Part A: Applications, 62(6) (2012) 512-530.
[25] F. Garoosi, G. Bagheri, F. Talebi, Numerical simulation of natural convection of nanofluids in a square cavity with several pairs of heaters and coolers (HACs) inside, International Journal of Heat and Mass Transfer, 67 (2013) 362-376.
[26] V. Bianco, O. Manca, S. Nardini, Entropy generation analysis of turbulent convection flow of Al2O3–water nanofluid in a circular tube subjected to constant wall heat flux, Energy Conversion and Management, 77 (2014) 306-314.
[27] S. Bahrehmand, A. Abbassi, Heat transfer and performance analysis of nanofluid flow in helically coiled tube heat exchangers, Chemical Engineering Research and Design, 109 (2016) 628-637.
[28] F. Garoosi, F. Hoseininejad, Numerical study of natural and mixed convection heat transfer between differentially heated cylinders in an adiabatic enclosure filled with nanofluid, Journal of Molecular Liquids, 215 (2016) 1-17.
[29] M. Ghanbarpour, E.B. Haghigi, R. Khodabandeh, Thermal properties and rheological behavior of water based Al2O3 nanofluid as a heat transfer fluid, Experimental Thermal and Fluid Science, 53 (2014) 227-235.
[30] P.A. Durbin, Near-wall turbulence closure modeling without “damping functions”, Theoretical and computational fluid dynamics, 3(1) (1991) 1-13.
[31] P. Durbin, Application of a near-wall turbulence model to boundary layers and heat transfer, International Journal of Heat and Fluid Flow, 14(4) (1993) 316-323.
[32] P.A. Durbin, Separated flow computations with the k-epsilon-v-squared model, AIAA journal, 33(4) (1995) 659-664.
[33] F.-S. Lien, G. Kalitzin, Computations of transonic flow with the v2–f turbulence model, International Journal of Heat and Fluid Flow, 22(1) (2001) 53-61.
[34] A. Sveningsson, L. Davidson, Assessment of realizability constraints in v2–f turbulence models, International journal of heat and fluid flow, 25(5) (2004) 785-794.
[35] S. Patankar, Numerical heat transfer and fluid flow, Taylor & Francis, 2018.
[36] C. Ho, W. Liu, Y. Chang, C. Lin, Natural convection heat transfer of alumina-water nanofluid in vertical square enclosures: an experimental study, International Journal of Thermal Sciences, 49(8) (2010) 1345-1353.
[37] R. Henkes, F. Van Der Vlugt, C. Hoogendoorn, Natural-convection flow in a square cavity calculated with low-Reynolds-number turbulence models, International Journal of Heat and Mass Transfer, 34(2) (1991) 377-388.
[38] N.C. Markatos, K. Pericleous, Laminar and turbulent natural convection in an enclosed cavity, International journal of heat and mass transfer, 27(5) (1984) 755-772.
[39] G. Barakos, E. Mitsoulis, D. Assimacopoulos, Natural convection flow in a square cavity revisited: laminar and turbulent models with wall functions, International journal for numerical methods in fluids, 18(7) (1994) 695-719.
[40] M. Goodarzi, M.R. Safaei, K. Vafai, G. Ahmadi, M. Dahari, S.N. Kazi, N. Jomhari, Investigation of nanofluid mixed convection in a shallow cavity using a two-phase mixture model, International Journal of Thermal Sciences, 75 (2014) 204-220 1290-0729.
 
AUT Journal of Mechanical Engineering
Volume 4, Issue 4
December 2020
Pages 365-480

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