Effects of porous material on transient natural convection heat transfer of nano-fluids inside a triangular chamber

doi:10.1016/j.cjche.2020.01.021

摘要/Abstract

摘要： This study numerically investigates the impact of porous materials, nano-particle types, and their concentrations on transient natural convection heat transfer of nano-fluid inside a porous chamber with a triangular section. The governing equations of the two-phase mixture model are separated on the computational domain and solved using the Finite Volume Method, taking into account the Darcy-Brinkman model for porous medium. It was observed that convection heat transfer inside the triangular chamber consists of three stages named initial, transient, and semi-steady. The features of each step are provided in detail. The results suggested that the use of a hybrid nano-fluid (water/aluminum oxide-cooper) inside a porous glass material and an increase in volume fraction of nano-particles have adverse effects on heat transfer rate. In contrast, as the nano-particle volume fraction of the single nano-fluid (water/aluminum oxide) inside the chamber increased, convection heat transfer rate improved. At the same time, it was observed that the use of both nano-fluids (single and hybrid) in the porous environment of the aluminum foam could improve convection.

关键词: Transient natural convection, Mixture model, Darcy-Brinkman model, Rayleigh-Benard instability, Triangular chamber

Abstract: This study numerically investigates the impact of porous materials, nano-particle types, and their concentrations on transient natural convection heat transfer of nano-fluid inside a porous chamber with a triangular section. The governing equations of the two-phase mixture model are separated on the computational domain and solved using the Finite Volume Method, taking into account the Darcy-Brinkman model for porous medium. It was observed that convection heat transfer inside the triangular chamber consists of three stages named initial, transient, and semi-steady. The features of each step are provided in detail. The results suggested that the use of a hybrid nano-fluid (water/aluminum oxide-cooper) inside a porous glass material and an increase in volume fraction of nano-particles have adverse effects on heat transfer rate. In contrast, as the nano-particle volume fraction of the single nano-fluid (water/aluminum oxide) inside the chamber increased, convection heat transfer rate improved. At the same time, it was observed that the use of both nano-fluids (single and hybrid) in the porous environment of the aluminum foam could improve convection.

Key words: Transient natural convection, Mixture model, Darcy-Brinkman model, Rayleigh-Benard instability, Triangular chamber

Mohsen Izadi. Effects of porous material on transient natural convection heat transfer of nano-fluids inside a triangular chamber[J]. 中国化学工程学报, 2020, 28(5): 1203-1213.

Mohsen Izadi. Effects of porous material on transient natural convection heat transfer of nano-fluids inside a triangular chamber[J]. Chinese Journal of Chemical Engineering, 2020, 28(5): 1203-1213.

参考文献

[1] Z. Haddad, H.F. Oztop, E. Abu-Nada, A. Mataoui, A review on natural convective heat transfer of nanofluids, Renew. Sust. Energ. Rev. 16(2012) 5363-5378.
[2] M. Izadi, M.M. Shahmardan, M. Norouzi, A.M. Rashidi, A. Behzadmehr, Cooling performance of a nanofluid flow in a heat sink microchannel with axial conduction effect, Applied Physics A:Materials Science and Processing 117(2014) 1821-1833.
[3] M. Izadi, M.M. Shahmardan, A. Behzadmehr, Richardson number ratio effect on laminar mixed convection of a nanofluid flow in an annulus, International Journal of Computational Methods in Engineering Science and Mechanics 14(2013) 304-316.
[4] M. Izadi, A. Behzadmehr, M.M. Shahmardan, Effects of inclination angle on mixed convection heat transfer of a nanofluid in a square cavity, International Journal of Computational Methods in Engineering Science and Mechanics 16(2015) 11-21.
[5] M. Izadi, A. Behzadmehr, M.M. Shahmardan, Effects of discrete source-sink arrangements on mixed convection in a square cavity filled by nanofluid, Korean J. Chem. Eng. 31(2014) 12-19.
[6] M. Izadi, A. Behzadmehr, D. Jalali-Vahida, Numerical study of developing laminar forced convection of a nanofluid in an annulus, Int. J. Therm. Sci. 48(2009) 2119-2129.
[7] M. Izadi, M. Shahmardan, M. Maghrebi, A. Behzadmehr, Numerical study of developed laminar mixed convection of Al₂O₃/Water nanofluid in an annulus, Chem. Eng. Commun. 200(7) (2013) 878-894.
[8] M. Izadi, S. Sinaei, S. Mehryan, H.F. Oztop, N. Abu-Hamdeh, Natural convection of a nanofluid between two eccentric cylinders saturated by porous material:Buongiorno's two phase model, Int. J. Heat Mass Transf. 127(2018) 67-75.
[9] A. Bhattad, J. Sarkar, P. Ghosh, Discrete phase numerical model and experimental study of hybrid nanofluid heat transfer and pressure drop in plate heat exchanger, International Communications in Heat and Mass Transfer 91(2018) 262-273.
[10] A.A. Minea, W.M. El-Maghlany, Influence of hybrid nanofluids on the performance of parabolic trough collectors in solar thermal systems:Recent findings and numerical comparison, Renew. Energy 120(2018) 350-364.
[11] S. Mehryan, M. Izadi, Z. Namazian, A.J. Chamkha, Natural convection of multi-walled carbon nanotube-Fe₃O₄/water magnetic hybrid nanofluid flowing in porous medium considering the impacts of magnetic field-dependent viscosity, J. Therm. Anal. Calorim. 138(2019) 1541-1555, https://doi.org/10.1007/s10973-019-08164-1.
[12] R.Mohebbi,S.Mehryan, M. Izadi,O.Mahian, Natural convection ofhybridnanofluids inside a partitioned porous cavityfor application insolar power plants, J. Therm. Anal. Calorim. 137(2019) 1719-1733, https://doi.org/10.1007/s10973-019-08019-9.
[13] V. Kumar, J. Sarkar, Two-phase numerical simulation of hybrid nanofluid heat transfer in minichannel heat sink and experimental validation, International Communications in Heat and Mass Transfer 91(2018) 239-247.
[14] M. Izadi, M.A. Sheremet, S. Mehryan, I. Pop, H.F. Öztop, N. Abu-Hamdeh, MHD thermogravitational convection and thermal radiation of a micropolar nanoliquid in a porous chamber, International Communications in Heat and Mass Transfer 110(2020) 104409.
[15] M. Izadi, S. Mehryan, M.A. Sheremet, Natural convection of CuO-water micropolar nanofluids inside a porous enclosure using local thermal non-equilibrium condition, J. Taiwan Inst. Chem. Eng. 88(2018) 89-103.
[16] S. Mehryan, M. Ghalambaz, M. Izadi, Conjugate natural convection of nanofluids inside an enclosure filled by three layers of solid, porous medium and free nanofluid using Buongiorno's and local thermal non-equilibrium models, J. Therm. Anal. Calorim. 135(2019) 1047-1067.
[17] R.A. Mahdi, H.A. Mohammed, K.M. Munisamy, N.H. Saeid, Review of convection heat transfer and fluid flow in porous media with nanofluid, Renew. Sust. Energ. Rev. 41(2015) 715-734.
[18] A.-R. Khaled, K. Vafai, The role of porous media in modeling flow and heat transfer in biological tissues, Int. J. Heat Mass Transf. 46(2003) 4989-5003.
[19] E.F. Kent, Numerical analysis of laminar natural convection in isosceles triangular enclosures for cold base and hot inclined walls, Mech. Res. Commun. 36(2009) 497-508.
[20] N. Mittal, V. Manoj, D. Santhosh Kumar, S. Anbalagan, Numerical simulation of mixed convection in a porous medium filled with water/Al₂O₃ nanofluid, Heat Transfer Asian Res. 42(1) (2013) 46-59.
[21] 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, Int. J. Heat Mass Transf. 82(2015) 396-405.
[22] M.A. Sheremet, T. Groşan, I. Pop, Steady-state free convection in right-angle porous trapezoidal cavity filled by a nanofluid:Buongiorno's mathematical model, European Journal of Mechanics-B/Fluids 53(2015) 241-250.
[23] M. Izadi, R. Mohebbi, A.A. Delouei, H. Sajjadi, Natural convection of a magnetizable hybrid nanofluid inside a porous enclosure subjected to two variable magnetic fields, Int. J. Mech. Sci. 151(2019) 154-169.
[24] S.A.M. Mehryan, Farshad M. Kashkooli, Mohammad Ghalambaz, Ali J. Chamkha, Free convection of hybrid Al₂O₃-Cu water nanofluid in a differentially heated porous cavity, Adv. Powder Technol. 28(2017) 2295-2305.
[25] M. Manninen, V. Taivassalo, S. Kallio, On the Mixture Model for Multiphase Flow, VTT Publications, 288(1996) 67.
[26] Mohammad Hesam Toosi, Majid Siavashi, Two-phase mixture numerical simulation of natural convection of nanofluid flow in a cavity partially filled with porous media to enhance heat transfer, Journal of Molecular Liquids 238(2017) 553-569.
[27] D.A. Nield, A. Bejan, Convection in Porous Media, 3rd ed. Springer, New York, N.Y., Great Britain, 2006.
[28] M. Chandrasekar, S. Suresh, A.C. Bose, Experimental investigations and theoretical determination of thermal conductivity and viscosity of Al₂O₃/water nanofluid, Exp. Thermal Fluid Sci. 34(2010) 210-216.
[29] R.-Y. Jou, S.-C. Tzeng, Numerical research of nature convective heat transfer enhancement filled with nanofluids in rectangular enclosures, International Communications in Heat and Mass Transfer 33(2006) 727-736.
[30] Rajesh Nimmagadda, K. Venkatasubbaiah, Conjugate heat transfer analysis of microchannel using novel hybrid nanofluids (Al₂O₃ + Ag/water), Eur. J. Mech. B. Fluids 52(2015) 19-27.
[31] Chengwang Lei, Steven W. Armfield, John C. Patterson, Unsteady natural convection in a water-filled isosceles triangular enclosure heated from below, Int. J. Heat Mass Transf. 51(2008) 2637-2650.
[32] Saber Yekani Motlagh, Salar Taghizadeh, Hosseinali 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(2016) 2526-2540.