Numerical simulation of natural convection in a porous enclosure with double sinusoidal heating boundary conditions

doi:10.3969/j.issn.0438-1157.2013.04.013

CIESC Journal ›› 2013, Vol. 64 ›› Issue (4): 1217-1225.DOI: 10.3969/j.issn.0438-1157.2013.04.013

Previous Articles Next Articles

Numerical simulation of natural convection in a porous enclosure with double sinusoidal heating boundary conditions

WU Feng¹, WANG Gang², MA Xiaoxun¹

1. School of Chemical Engineering, Chemical Engineering Research Center of the Ministry of Education for Advanced Use Technology of Shanbei Energy, Shaanxi Research Center of Engineering Technology for Clean Coal Conversion, Northwest University, Xi'an 710069, Shaanxi, China;
2. School of Civil Engineering, Lanzhou University of Technology, Lanzhou 730050, Gansu, China

Received:2012-07-21 Revised:2012-11-16 Online:2013-04-05 Published:2013-04-05
Supported by:
supported by the Higher School Specialized Research Fund for the Doctoral Program Funding Issue(20116101110019), the National Natural Science Foundation of China(51266006) and the Natural Science Special Research Project of Education Department of Shaanxi Province(12JK0585).

双周期温度边界下多孔介质方腔内自然对流传热数值模拟

吴峰¹, 王刚², 马晓迅¹

1. 西北大学化工学院,陕北能源先进化工利用技术教育部工程研究中心,陕西省洁净煤转化工程技术中心,陕西西安 710069;
2. 兰州理工大学土木工程学院,甘肃兰州730050

通讯作者: 吴峰
作者简介:吴峰(1978—),男,博士,副教授。
基金资助:
高等学校博士学科点专项科研基金项目(20116101110019);国家自然科学基金项目(51266006);陕西省教育厅自然科学专项研究计划项目(12JK0585)。

Abstract

Abstract: Steady non-Darcian natural convection in a square cavity filled with a heat-generating porous medium is studied numerically with the local thermal non-equilibrium model, with SIMPLER algorithm in the spatial coordinates.The top and bottom walls of the enclosure are adiabatic and the left and right walls are partially heated and cooled by sinusoidal temperature profile.The results show that the temperature fields near the left wall and local Nusselt number of left wall vary periodically because of the sinusoidal boundary condition.When the parameter N for temperature fluctuations is larger enough, the streamlines, temperature fields of fluid and solid in the enclosure are similar to the results when the temperature at boundaries are uniform, while the heat transfer is enhanced by the sinusoidal boundary conditions compared with the uniform temperature boundary conditions.

Key words: porous medium, double sinusoidal heating boundary conditions, natural convection

摘要： 采用局部非热平衡模型及方腔左右两侧壁面温度正弦波变化边界条件,数值分析了具有内热源多孔介质方腔内的稳态非达西自然对流传热。探讨了不同温度波动参数N及波动相位差τ对方腔内自然对流传热的影响。结果表明:方腔两侧壁面出现了周期性分布的温度场,随着N值的增加,方腔内流场及温度场分布逐渐趋向于壁面均一温度边界情况。壁面局部Nu沿着高度方向呈现周期性分布。相对于均一温度的边界条件而言,正弦波温度边界条件在一定程度上强化了多孔介质方腔内的整体传热过程,随着N值的增加,方腔处于温度波动边界时的散热值Q逐渐趋向于均一温度边界时的情况。

关键词: 多孔介质, 双周期温度波动边界, 自然对流

CLC Number:

TK124

WU Feng, WANG Gang, MA Xiaoxun. Numerical simulation of natural convection in a porous enclosure with double sinusoidal heating boundary conditions[J]. CIESC Journal, 2013, 64(4): 1217-1225.

吴峰, 王刚, 马晓迅. 双周期温度边界下多孔介质方腔内自然对流传热数值模拟[J]. 化工学报, 2013, 64(4): 1217-1225.

References 20

[1]	Vafai K.Handbook of Porous Media[M].New York:Marcel Dekker Inc., 2004
[2]	Liu Wei(刘伟), Fan Aiwu(范爱武),Huang Xiaoming(黄晓明).Application and of Porous Medium Heat and Mass Transfer Theory(多孔介质传热传质理论与应用)[M].Beijing:Science Press,2006
[3]	He L W, Jin Z H, Zhang Y.Convective cooling/heating induced thermal stresses in a fluid saturated porous medium undergoing local thermal non-equilibrium[J].International Journal of Solids and Structures, 2012, 49:748-758
[4]	He L W, Jin Z H.Effects of local thermal non-equilibrium on the pore pressure and thermal stresses around a spherical cavity in a porous medium[J].International Journal of Engineering Science, 2011,49:240-252
[5]	Virto L, Carbonell M,Castilla R,Gamez-Montero P J.Heating of saturated porous media in practice:several causes of local thermal non-equilibrium[J].Int.J.Heat Mass Transfer, 2009, 52:5412-5422
[6]	Xu Guangzhan(徐广展), Sun Zhongning(孙中宁), Meng Xianke(孟现珂), et al.ONB characteristics in porous media with internal heat source[J].CIESC Journal(化工学报), 2012, 63(10):3081-3085
[7]	Li Juxiang(李菊香), Tu Shandong(涂善东).Heat transfer of laminar flow over a plate embedded in porous medium with a constant heat flux under local non-equilibrium condition[J].CIESC Journal(化工学报), 2010, 61(1):10-14
[8]	Li Mingchun(李明春), Tian Yanwen(田彦文), Zhai Yuchun(翟玉春).Coupled processes of chemical reaction, heat and mass transfer in non-thermal equilibrium porous medium[J].Journal of Chemical Industry and Engineering(China)(化工学报), 2006, 57(5):1079-1083
[9]	Mohammad A A.Non-equilibrium natural convection in a differentially heated cavity filled with saturated porous matrix[J].ASME J.Heat Transfer,2000, 122:380-384
[10]	Baytas A C, Pop I.Free convection in a square porous cavity using a thermal non-equilibrium model[J].Int. J. Thermal Sci., 2002, 41:861-870
[11]	Irfan Anjum Badruddin, Zainal Z A, Aswatha Narayanab P A, Seetharamu K N.Thermal non-equilibrium modeling of heat transfer through vertical annulus embedded with porous medium[J].Int.J.Heat Mass Transfer,2006, 49:4955-4965
[12]	Saeid N H.Conjugate natural convection in a porous enclosure:effect of conduction in one of the vertical walls[J].Int.J.Thermal Sci.,2007, 46:531-539
[13]	Bhuvaneswari M,Sivasankaran S, Kim Y J.Effect of aspect ratio on convection in a porous enclosure with partially active thermal walls[J].Computers and Mathematics with Applications, 2011, 62:3844-3856
[14]	Al-Farhany K,Turan A.Numerical study of double diffusive natural convective heat and mass transfer in an inclined rectangular cavity filled with porous medium[J].Int.Commun.Heat Mass Transfer,2012,39:174-181
[15]	Saeid N F.Natural convection in porous cavity with sinusoidal bottom wall temperature variation[J].Int. Commun. Heat Mass Transfer,2005,32:454-463
[16]	Sathiyamoorthy M, Tanmay Basak, Roy S, Pop I.Steady natural convection flow in a square cavity filled with a porous medium for linearly heated side walls[J].Int. J. Heat Mass Transfer, 2007, 50:1892-1901
[17]	Varol Y, Oztop H F, Pop I. Numerical analysis of natural convection for a porous rectangular enclosure with sinusoidally varying temperature profile on the bottom wall[J].Int.Com.Heat Mass Transfer, 2008,35:56-64
[18]	Khandelwal Manish K, Bera P, Chakrabarti A.Influence of periodicity of sinusoidal bottom boundary condition on natural convection in porous enclosure[J].Int.J.Heat Mass Transfer, 2012, 55:2889-2900
[19]	Deng Q H, Chang J J.Natural convection in a rectangular enclosure with sinusoidal temperature distributions on both sidewalls[J].Numerical Heat Transfer, Part A:Applications, 2008, 54:507-524
[20]	Nithiarasu P, Seetharamu K N, Sundararajan T.Natural convective heat transfer in a fluid saturated variable porosity medium[J].Int J.Heat Mass Transfer, 1997, 40(16):3955-3967

Numerical simulation of natural convection in a porous enclosure with double sinusoidal heating boundary conditions

双周期温度边界下多孔介质方腔内自然对流传热数值模拟

PDF (PC)

Knowledge

Cited

Abstract

Cite this article

share this article

References 20

Related Articles 15

Recommended Articles

Metrics

Comments

[1]	Xiaoxuan WANG, Xiaohong HU, Yunan LU, Shiyong WANG, Fengxian FAN. Numerical simulation of flow characteristics in a rotating membrane filter [J]. CIESC Journal, 2023, 74(4): 1489-1498.
[2]	Yinning ZHANG, Jinqing WANG, Zhi FENG, Mingxiu ZHAN, Xu XU, Guangxue ZHANG, Zuohe CHI. Growth and coalescence behavior of bubbles in porous media under heating condition [J]. CIESC Journal, 2023, 74(4): 1509-1518.
[3]	Ye WANG, Wanyu ZHANG, Bin WANG, Rui ZHUAN, Feng REN, Aifeng CAI, Guang YANG, Jingyi WU. Analytical model of bubble point pressure for metal wire screens and experimental validation [J]. CIESC Journal, 2022, 73(3): 1102-1110.
[4]	WANG Lingyue, ZHU Jinrong, WANG Congle, LYU Hui, CHENG Chunfu, ZHANG Jinye. Influence of diverter in cylinder array on its natural convection heat transfer [J]. CIESC Journal, 2021, 72(S1): 310-317.
[5]	Da TENG, Tielin LI, Ang LI, Liansuo AN, Guoqing SHEN, Shiping ZHANG. Experimental analysis of low pressure water permeability of single channel ceramic membrane tube [J]. CIESC Journal, 2020, 71(S1): 261-271.
[6]	Haidong YANG, Qiang CHEN, Kangkang XU, Chengjiu ZHU. Thermal efficiency research of regenerator for horseshoe flame glass furnace based on numerical simulation [J]. CIESC Journal, 2019, 70(12): 4608-4616.
[7]	LIANG Lin, DIAO Yanhua, KANG Yameng, ZHAO Yaohua, WEI Xiangqian, CHEN Chuanqi. Characteristic of latent heat thermal energy storage strengthened by flat micro heat pipe array-copper foam composite structure [J]. CIESC Journal, 2018, 69(S1): 34-42.
[8]	LIU Guiling, MIN Jingchun, TANG Yicun. Capillary pressure-saturation relation for gas-liquid two-phase fluid in spherical pore [J]. CIESC Journal, 2016, 67(S1): 40-46.
[9]	SHEN Chunyun, LU Tingkang, DAI Zhenghua, YANG Mo. Natural convection in cylinder with internal slotted annulus under different structures [J]. CIESC Journal, 2016, 67(S1): 84-90.
[10]	ZHU Jinrong, DAI Jinmei, CHENG Xiaomin, ZHANG Jinye, CHENG Chunfu. Natural convection heat transfer from horizontal offset elliptic tube based on holographic interferometry [J]. CIESC Journal, 2016, 67(4): 1145-1149.
[11]	ZHANG Fei, WANG Jiabing, YOU Xingwang, LIU Wei, YANG Kun. Stability analysis of natural convection in porous channel with heat generation [J]. , 2015, 66(S1): 146-153.
[12]	WANG Yuancheng, YANG Kaimin, YANG Jun. Effects of thermal radiation on natural convection heat and moisture transfer in rectangular enclosures partially filled with hygroscopic porous medium [J]. CIESC Journal, 2015, 66(S1): 130-137.
[13]	DAI Chuanshan, WANG Jue. Mechanism of natural convection around heated microwire at low Rayleigh number [J]. CIESC Journal, 2015, 66(7): 2420-2425.
[14]	YU Mingzhi, FAN Xuejing, HU Aijuan. Experimental study and mechanism analysis of liquid morphologies in particle packing porous medium [J]. CIESC Journal, 2015, 66(7): 2450-2455.
[15]	YANG Jialin, DU Xiaoze, YANG Lijun, YANG Yongping. Visualized experiment on dynamic thermal behavior of phase change material in metal foam [J]. CIESC Journal, 2015, 66(2): 497-503.