纳米流体在顶部开孔底部加热的四方形容器内的三维自然对流（英文）
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摘要
构建纳米流体在顶部开孔底部加热的四方形容器流动模型,基于有限体积法,进行了纳米流体三维自然对流的数值研究。得到的控制参数为纳米粒子浓度(φ)0～0.05、前后壁倾角(α)5°～75°、Rayleigh数10~3～10~5、加热器的换热器长度0.1～1。结果表明,倾角和纳米颗粒的体积分数影响流动结构,提高了传热效果。
A numerical study based on the finite volume method has been performed to study the three-dimension natural convection in a parallelogrammic top side opened cavity filled nanofluid with partially heated square at the bottom side. Results are obtained for different governing parameters such as nanoparticle concentration(φ) from 0 to 0.05, inclination angle of the back and front walls(α) from 5° to 75°, Rayleigh number from 103 to 105, and length of heater changer from 0.1 to 1. The main finding from the obtained result showed that the inclination angle and nanoparticle volume fraction affect the flow structure and enhance the heat transfer.
A numerical study based on the finite volume method has been performed to study the three-dimension natural convection in a parallelogrammic top side opened cavity filled nanofluid with partially heated square at the bottom side. Results are obtained for different governing parameters such as nanoparticle concentration(φ) from 0 to 0.05, inclination angle of the back and front walls(α) from 5° to 75°, Rayleigh number from 103 to 105, and length of heater changer from 0.1 to 1. The main finding from the obtained result showed that the inclination angle and nanoparticle volume fraction affect the flow structure and enhance the heat transfer.
引文
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[5]JAGADEESHA R D,PRASANNA B M R,SANKAR M.Double diffusive convection in an inclined parallelogrammic porous enclosure[J].Procedia Engineering,2015,127:1346-1353.DOI:10.1016/j.proeng.2015.11.493.
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[9]de MARíA G J M,BA?RI A,COSTA V A F.Empirical correlations at high Ra for steady-state free convection in 2Dair-filled parallelogrammic enclosures with isothermal discrete heat sources[J].International Journal of Heat and Mass Transfer,2010,53:3831-3838.DOI:10.1016/j.ijheatmasstransfer.2010.04.036.
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[11]MAHMOODI M,KANDELOUSI S.Kerosene-alumina nanofluid flow and heat transfer for cooling application[J].Journal of Central South University,2016,23(4):983-990.DOI:10.1007/s11771-016-3146-5.
[12]SARI M R,KEZZAR M,ADJABI R.Heat transfer of copper/water nanofluid flow through converging-diverging channel[J].Journal of Central South University,2016,23(2):484-496.DOI:10.1007/s11771-016-3094-0.
[13]MAJID S,MOHAMMAD J.Optimal selection of annulus radius ratio to enhance heat transfer with minimum entropy generation in developing laminar forced convection of water-Al2O3 nanofluid flow[J].Journal of Central South University,2017,24(8):1850-1865.DOI:10.1007/s11771-017-3593-7.
[14]WUSIMAN K,CHUNG H,NINE MD J,HANDRY A,EOMY,KIM J,JEONG H.Heat transfer characteristics of nanofluid through circular tube[J].Journal of Central South University,2013,20(1):142-148.DOI:10.1007/s11771-013-1469-z.
[15]MOHEBBI R,LAKZAYI H,SIDIK N A C,JAPAR W M AA.Lattice boltzmann method based study of the heat transfer augmentation associated with Cu/water nanofluid in a channel with surface mounted blocks[J].International Journal of Heat and Mass Transfer,2018,117:425-435.DOI:10.1016/j.ijheatmasstransfer.2017.10.043.
[16]MOHEBBI R,IZADI M,CHAMKHA A J.Heat source location and natural convection in a C-shaped enclosure saturated by a nanofluid[J].Physics of Fluids,2017,29:122009.DOI:10.1063/1.4993866.
[17]IZADI M,HOGHOUGHI G,MOHEBBI R,SHEREMET M.Nanoparticle migration and natural convection heat transfer of Cu-water nanofluid inside a porous undulant-wall enclosure using LTNE and two-phase model[J].Journal of Molecular Liquids,2018,261:357-372.DOI:10.1016/j.molliq.2018.04.063.
[18]KASAEIPOOR A,MALEKSHAH E H,KOLSI L.Free convection heat transfer and entropy generation analysis of MWCNT-Mg O(15%-85%)/water nanofluid using lattice Boltzmann method in cavity with refrigerant solid bodyExperimental thermo-physical properties[J].Powder Technology,2017,322:9-23.DOI:10.1016/j.powtec.2017.08.061.
[19]EMAMI R Y,SIAVASHI M,MOGHADDAM G S.The effect of inclination angle and hot wall configuration on Cu-water nanofluid natural convection inside a porous square cavity[J].Advanced Powder Technology,2018,29(3):519-536.DOI:10.1016/j.apt.2017.10.027.
[20]TOOSI M H,SIAVASHI M.Two-phase mixture numerical simulation of natural convection of nanofluid flow in a cavity partially filled with porous media to enhance heat transfer[J].Journal of Molecular Liquids,2017,238:553-569.DOI:10.1016/j.molliq.2017.05.015.
[21]GHASEMI K,SIAVASHI M.Lattice Boltzmann numerical simulation and entropy generation analysis of natural convection of nanofluid in a porous cavity with different linear temperature distributions on side walls[J].Journal of Molecular Liquids,2017,233:415-430.DOI:10.1016/j.molliq.2017.03.016.
[22]KOLSI L,KALIDASAN K,ALGHAMDI A,BORJINI M N,KANNA P R.Natural convection and entropy generation on a cubical cavity with twin adiabatic blocks and filled by aluminium oxide-water nanofluid[J].Numerical Heat Transfer Part A,2016,70(3):242-259.DOI:10.1080/10407782.2016.1173478.
[23]CHANDRASEKAR M,SURESH S,CHANDRA BOSE A.Experimental investigations and theoretical determination of thermal conductivity and viscosity of Al2O3/water nanofluid[J].Experimental Thermal and Fluid Science,2010,34:210-216.DOI:10.1016/j.expthermflusci.2009.10.022.
[24]ABIDI A,KOLSI L,BORJINI M N,BEN A?SSIA H.Effect of radiative heat transfer on three-dimensional double diffusive natural convection[J].Numerical Heat Transfer Part A,2011,60(9):785-809.DOI:10.1080/10407782.2011.627797.
[25]KOLSI L,ABIDI A,BORJINI M N,BEN A?SSIA H.The effect of an external magnetic field on the entropy generation in three-dimensional natural convection[J].Thermal Science,2010,14(2):341-352.DOI:10.1080/10407790601184462.
[26]FUSEGI T,HYUN J M,KUWAHARA K,FAROUK B.Anumerical study of three-dimensional natural convection in a differentially heated cubical enclosure[J].International Journal of Heat and Mass Transfer,1991,34:1543-1557.DOI:10.1016/0017-9310(91)90295-P.
[27]NONI A D,GARCIA D E,HOTZA D.A modified model for the viscosity of ceramic suspensions[J].Ceramics International,2002,28:731-735.DOI:10.1016/S0272-8842(02)00035-4.
[28]PATANKAR S V.Numerical heat transfer and fluid flow[M].Philadelphia,USA:Taylor&Francis,1981.
[29]WAKASHIMA S,SAITOH T S.Benchmark solutions for natural convection in a cubic cavity using the high-order time-space method[J].International Journal of Heat and Mass Transfer,2004,47:853-864.DOI:10.1016/j.ijheatmasstransfer.2003.08.008.
[30]?ZTOP H F,ABU-NADA E.Numerical study of natural convection in partially heated rectangular enclosures filled with nanofluids[J].International Journal of Heat and Fluid Flow,2008,29(5):1326-1336.DOI:10.1016/j.ijheatfluidflow.2008.04.009.
[31]JAHANSHAHI M,HOSSEINIZADEH S F,ALIPANAH M,DEHGHANI A,VAKILINEJAD G R.Numerical simulation of free convection based on experimental measured conductivity in a square cavity using water/Si O2 nanofluid[J].International Communications in Heat and Mass Transfer,2010,37:687-694.DOI:10.1016/j.icheatmasstransfer.2010.03.010.(Edited by YANG Hua)
[2]ALDRIDGE K D,YAO H.Flow features of natural convection in a parallelogrammic enclosure[J].International Communication in Heat and Mass Transfer,2001,28:923-931.DOI:10.1016/S0735-1933(01)00296-2.
[3]HUSSEIN A K,MUSTAFA A W.Natural convection in fully open parallelogrammic cavity filled with Cu-water nanofluid and heated locally from its bottom wall[J].Thermal Science and Engineering Progress,2017,1:66-77.DOI:10.1016/j.tsep.2017.03.002.
[4]HUSSEIN A K.Computational analysis of natural convection in a parallelogrammic cavity with a hot concentric circular cylinder moving at different vertical locations[J].International Communications in Heat and Mass Transfer,2013,46:126-133.DOI:10.1016/j.icheatmasstransfer.2013.05.008.
[5]JAGADEESHA R D,PRASANNA B M R,SANKAR M.Double diffusive convection in an inclined parallelogrammic porous enclosure[J].Procedia Engineering,2015,127:1346-1353.DOI:10.1016/j.proeng.2015.11.493.
[6]BAIRI A.On the Nusselt number definition adapted to natural convection in parallelogrammic cavities[J].Applied Thermal Engineering,2008,28:1267-1271.DOI:10.1016/j.applthermaleng.2007.10.025.
[7]COSTA V A F,OLIVEIRA M S A,SOUSA A C M.Laminar natural convection in a vertical stack of parallelogrammic partial enclosures with variable geometry[J].International Journal of Heat and Mass Transfer,2005,48:779-792.DOI:10.1016/j.ijheatmasstransfer.2004.09.012.
[8]HAN H S,HYUN J M.Buoyant convection in a parallelogrammic enclosure filled with a porous mediumGeneral analysis and numerical simulations[J].International Journal of Heat and Mass Transfer,2008,51:2980-2989.DOI:10.1016/j.ijheatmasstransfer.2007.09.015.
[9]de MARíA G J M,BA?RI A,COSTA V A F.Empirical correlations at high Ra for steady-state free convection in 2Dair-filled parallelogrammic enclosures with isothermal discrete heat sources[J].International Journal of Heat and Mass Transfer,2010,53:3831-3838.DOI:10.1016/j.ijheatmasstransfer.2010.04.036.
[10]VILLENEUVE T,BOUDREAU M,DUMAS G.The thermal diode and insulating potentials of a vertical stack of parallelogrammic air-filled enclosures[J].International Journal of Heat and Mass Transfer,2017,108:2060-2071.DOI:10.1016/j.ijheatmasstransfer.2016.12.067.
[11]MAHMOODI M,KANDELOUSI S.Kerosene-alumina nanofluid flow and heat transfer for cooling application[J].Journal of Central South University,2016,23(4):983-990.DOI:10.1007/s11771-016-3146-5.
[12]SARI M R,KEZZAR M,ADJABI R.Heat transfer of copper/water nanofluid flow through converging-diverging channel[J].Journal of Central South University,2016,23(2):484-496.DOI:10.1007/s11771-016-3094-0.
[13]MAJID S,MOHAMMAD J.Optimal selection of annulus radius ratio to enhance heat transfer with minimum entropy generation in developing laminar forced convection of water-Al2O3 nanofluid flow[J].Journal of Central South University,2017,24(8):1850-1865.DOI:10.1007/s11771-017-3593-7.
[14]WUSIMAN K,CHUNG H,NINE MD J,HANDRY A,EOMY,KIM J,JEONG H.Heat transfer characteristics of nanofluid through circular tube[J].Journal of Central South University,2013,20(1):142-148.DOI:10.1007/s11771-013-1469-z.
[15]MOHEBBI R,LAKZAYI H,SIDIK N A C,JAPAR W M AA.Lattice boltzmann method based study of the heat transfer augmentation associated with Cu/water nanofluid in a channel with surface mounted blocks[J].International Journal of Heat and Mass Transfer,2018,117:425-435.DOI:10.1016/j.ijheatmasstransfer.2017.10.043.
[16]MOHEBBI R,IZADI M,CHAMKHA A J.Heat source location and natural convection in a C-shaped enclosure saturated by a nanofluid[J].Physics of Fluids,2017,29:122009.DOI:10.1063/1.4993866.
[17]IZADI M,HOGHOUGHI G,MOHEBBI R,SHEREMET M.Nanoparticle migration and natural convection heat transfer of Cu-water nanofluid inside a porous undulant-wall enclosure using LTNE and two-phase model[J].Journal of Molecular Liquids,2018,261:357-372.DOI:10.1016/j.molliq.2018.04.063.
[18]KASAEIPOOR A,MALEKSHAH E H,KOLSI L.Free convection heat transfer and entropy generation analysis of MWCNT-Mg O(15%-85%)/water nanofluid using lattice Boltzmann method in cavity with refrigerant solid bodyExperimental thermo-physical properties[J].Powder Technology,2017,322:9-23.DOI:10.1016/j.powtec.2017.08.061.
[19]EMAMI R Y,SIAVASHI M,MOGHADDAM G S.The effect of inclination angle and hot wall configuration on Cu-water nanofluid natural convection inside a porous square cavity[J].Advanced Powder Technology,2018,29(3):519-536.DOI:10.1016/j.apt.2017.10.027.
[20]TOOSI M H,SIAVASHI M.Two-phase mixture numerical simulation of natural convection of nanofluid flow in a cavity partially filled with porous media to enhance heat transfer[J].Journal of Molecular Liquids,2017,238:553-569.DOI:10.1016/j.molliq.2017.05.015.
[21]GHASEMI K,SIAVASHI M.Lattice Boltzmann numerical simulation and entropy generation analysis of natural convection of nanofluid in a porous cavity with different linear temperature distributions on side walls[J].Journal of Molecular Liquids,2017,233:415-430.DOI:10.1016/j.molliq.2017.03.016.
[22]KOLSI L,KALIDASAN K,ALGHAMDI A,BORJINI M N,KANNA P R.Natural convection and entropy generation on a cubical cavity with twin adiabatic blocks and filled by aluminium oxide-water nanofluid[J].Numerical Heat Transfer Part A,2016,70(3):242-259.DOI:10.1080/10407782.2016.1173478.
[23]CHANDRASEKAR M,SURESH S,CHANDRA BOSE A.Experimental investigations and theoretical determination of thermal conductivity and viscosity of Al2O3/water nanofluid[J].Experimental Thermal and Fluid Science,2010,34:210-216.DOI:10.1016/j.expthermflusci.2009.10.022.
[24]ABIDI A,KOLSI L,BORJINI M N,BEN A?SSIA H.Effect of radiative heat transfer on three-dimensional double diffusive natural convection[J].Numerical Heat Transfer Part A,2011,60(9):785-809.DOI:10.1080/10407782.2011.627797.
[25]KOLSI L,ABIDI A,BORJINI M N,BEN A?SSIA H.The effect of an external magnetic field on the entropy generation in three-dimensional natural convection[J].Thermal Science,2010,14(2):341-352.DOI:10.1080/10407790601184462.
[26]FUSEGI T,HYUN J M,KUWAHARA K,FAROUK B.Anumerical study of three-dimensional natural convection in a differentially heated cubical enclosure[J].International Journal of Heat and Mass Transfer,1991,34:1543-1557.DOI:10.1016/0017-9310(91)90295-P.
[27]NONI A D,GARCIA D E,HOTZA D.A modified model for the viscosity of ceramic suspensions[J].Ceramics International,2002,28:731-735.DOI:10.1016/S0272-8842(02)00035-4.
[28]PATANKAR S V.Numerical heat transfer and fluid flow[M].Philadelphia,USA:Taylor&Francis,1981.
[29]WAKASHIMA S,SAITOH T S.Benchmark solutions for natural convection in a cubic cavity using the high-order time-space method[J].International Journal of Heat and Mass Transfer,2004,47:853-864.DOI:10.1016/j.ijheatmasstransfer.2003.08.008.
[30]?ZTOP H F,ABU-NADA E.Numerical study of natural convection in partially heated rectangular enclosures filled with nanofluids[J].International Journal of Heat and Fluid Flow,2008,29(5):1326-1336.DOI:10.1016/j.ijheatfluidflow.2008.04.009.
[31]JAHANSHAHI M,HOSSEINIZADEH S F,ALIPANAH M,DEHGHANI A,VAKILINEJAD G R.Numerical simulation of free convection based on experimental measured conductivity in a square cavity using water/Si O2 nanofluid[J].International Communications in Heat and Mass Transfer,2010,37:687-694.DOI:10.1016/j.icheatmasstransfer.2010.03.010.(Edited by YANG Hua)