LU Wei, WANG Ting-ting, XU Hong-tao, CHEN Jian, YANG Mo. LBM Simulation of Double Diffusive Mixed Convection in a Porous Medium Composite Cavity[J]. Applied Mathematics and Mechanics, 2017, 38(7): 780-793. doi: 10.21656/1000-0887.370175
Citation: LU Wei, WANG Ting-ting, XU Hong-tao, CHEN Jian, YANG Mo. LBM Simulation of Double Diffusive Mixed Convection in a Porous Medium Composite Cavity[J]. Applied Mathematics and Mechanics, 2017, 38(7): 780-793. doi: 10.21656/1000-0887.370175

LBM Simulation of Double Diffusive Mixed Convection in a Porous Medium Composite Cavity

doi: 10.21656/1000-0887.370175
Funds:  The National Natural Science Foundation of China(51406121)
  • Received Date: 2016-06-03
  • Rev Recd Date: 2016-12-05
  • Publish Date: 2017-07-15
  • Based on the coupled lattice Bhatnagar-Gross-Krook (CLBGK) model, the lattice Boltzmann method was used and the concentration distribution function was introduced to investigate the double diffusive mixed convection in a lid-driven composite cavity composed of a porous medium layer and the rest space full of pure fluid. At Ri=1.0, Le=2.0, Gr=104, Pr=0.7, ε=0.7, the influences of the porous layer locations and the buoyancy ratios(-5.0≤N≤5.0) on the double diffusive mixed convection in the porous medium composite cavity were studied at the pore scale. Results presented in the distribution diagrams of local and average Nusselt and Sherwood numbers at the high temperature and concentration wall of the cavity show the mixed convection rule.
  • loading
  • [1]
    许瑛, 张寅平. 平板建材挥发性有机物单面散发模型及应用[J]. 工程热物理学报, 2004,25(3): 451-453.(XU Ying, ZHANG Yan-ping. A new mass transfer based model for analyzing VOC emissions from building materials[J]. Journal of Engineering Thermophysics,2004,25(3): 451-453.( in Chinese))
    [2]
    王新柯, 张寅平, 赵荣义. 干板材VOC双面散发特性研究[J]. 科学通报, 2006,51(18): 2205-2211.(WANG Xin-ke, ZHANG Yan-ping, ZHAO Rong-yi. Characteristic studies for VOC emissions in the twoside of dry plank[J]. Chinese Science Bulletin,2006,51(18): 2205-2211.(in Chinese))
    [3]
    Lee Y K, Kim H J. The effects of temperature and bake-out on formaldehyde emission from wood composites of urea-formaldehyde resin[C]// The 〖STBX〗10th International Conference on Indoor Air Quality and Climate . Beijing, 2005: 4-9.
    [4]
    Zuraimi M S, Roulet C A. A comparative study of VOCs in Singapore and Europeanoffice buildings[J]. Building and Environment,2006(41): 316-329.
    [5]
    Goyeau B, Gobin D. Heat transfer by thermosolutal natural convection in a vertical composite fluid-porous cavity[J]. International Communications in Heat and Mass Transfer,1999,26(8): 1115-1126.
    [6]
    Mharzi M, Daguenet M, Daoudi S. Thermosolutal natural convection in a vertically layered fluid-porous medium heated from the side[J]. Energy Conversion and Management,2000,41(10): 1065-1090.
    [7]
    Bennacer R, Beji H, Mohamad A A. Double diffusive convection in a vertical enclosure inserted with two saturated porous layers confining a fluid layer[J]. International Journal of Thermal Sciences,2003,42(2): 141-151.
    [8]
    Gobin D, Goyeau B, Neculae A. Convective heat and solute transfer in partially porous cavities[J]. International Journal of Heat and Mass Transfer,2005,48(10): 1898-1908.
    [9]
    Akbal S, Bayta〖KG-*5〗 〖KG*4〗F. Effects of non-uniform porosity on double diffusive natural convection in a porous cavity with partially permeable wall[J]. International Journal of Thermal Sciences,2008,47(7): 875-885.
    [10]
    Baytas A C, Baytas A F, Ingham D B, et al. Double diffusive natural convection in an enclosure filled with a step type porous layer: non-Darcy flow[J]. International Journal of Thermal Sciences,2009,48(4): 665-673.
    [11]
    Chen B, Wang L, Liu F, et al. Effect of mesoscopic structure of interface on heat and mass transfer in a partially porous cavity[C]// ASME 〖STBX〗2009 Second International Conference on Micro/Nanoscale Heat and Mass Transfer . American Society of Mechanical Engineers, 2009: 699-705.
    [12]
    Liu F, Chen B M. Natural convection in a cavity partially filled with a vertical porous medium[J]. Advanced Materials Research,2011,321: 15-18.
    [13]
    Hadidi N, Ould-Amer Y, Bennacer R. Bi-layered and inclined porous collector: optimum heat and mass transfer[J]. Energy, 2013,51: 422-430.
    [14]
    Hadidi N, Bennacer R, Ould-Amer Y. Two-dimensional thermosolutal natural convective heat and mass transfer in a bi-layered and inclined porous enclosure[J]. Energy,2015,93(11): 2582-2592.
    [15]
    Hadidi N, Bennacer R. Three-dimensional double diffusive natural convection across a cubical enclosure partially filled by vertical porous layer[J]. International Journal of Thermal Sciences,2016,101: 143-157.
    [16]
    张国庆, 陈宝明, 刘智, 等. 格子Boltzmann方法对多孔介质复合通道内流动的研究[J]. 节能, 2014,33(5): 10-13.(ZHANG Guo-qing, CHEN Bao-ming, LIU Zhi, et al. Lattice Boltzmann method for the studies of flow in porous media composite channel[J]. Energy Conservations,2014,33(5): 10-13.(in Chinese))
    [17]
    Kang Q, Zhang D, Chen S, et al. Lattice Boltzmann simulation of chemical dissolution in porous media[J]. Physical Review E,2002,65(3): 036318.
    [18]
    Kang Q, Lichtner P C, Zhang D. Lattice Boltzmann pore-scale model for multicomponent reactive transport in porous media[J]. Journal of Geophysical Research: Solid Earth,2006,111(B5): 1-9.doi: 10.1029/2005JB003951.
    [19]
    Kang Q, Lichtner P C, Zhang D. An improved lattice Boltzmann model for multicomponent reactive transport in porous media at the pore scale[J]. Water Resources Research,2007,43(12): 2578-2584.
    [20]
    Wang M, Wang J, Pan N, et al. Mesoscopic predictions of the effective thermal conductivity of microscale random porous media[J]. Physical Review E,2007,75: 036702.
    [21]
    Bird R B. Transport phenomena[J]. Applied Mechanics Reviews,2002,55(1): R1-R4.
    [22]
    Ghassemi A, Pak A. Pore scale study of permeability and tortuosity for flow through particulate media using lattice Boltzmann method[J]. International Journal for Numerical and Analytical Methods in Geomechanics,2011,35(8): 886-901.
    [23]
    Sheikholeslami M, Gorji-Bandpy M, Ganji D D. Investigation of nanofluid flow and heat transfer in presence of magnetic field using KKL model[J]. Arabian Journal for Science and Engineering,2014,39(6): 5007-5016.
    [24]
    Guo Z, Shi B, Zheng C. A coupled lattice BGK model for the Boussinesq equations[J]. International Journal for Numerical Methods in Fluids,2002,39(4): 325-342.
    [25]
    Qian Y H, Dhumieres D, Lallemand P. Lattice BGK models for Navier-Stokes equations[J]. Europhysics Letters,1992,17(6): 479-484.
    [26]
    Guo Z L, Zheng C G, Shi B C. Non-equilibrium extrapolation method for velocity and pressure boundary conditions in the lattice Boltzmann method[J]. Chinese Physics,2002,11(4): 366-374.
    [27]
    Chen S, Martinez D, Mei R. On boundary conditions in lattice Boltzmann methods[J]. Physics of Fluids,1996,8(9): 2527-2536.
    [28]
    Teamah M A, El-Maghlany W M. Numerical simulation of double-diffusive mixed convective flow in rectangular enclosure with insulated moving lid[J]. International Journal of Thermal Sciences,2010,49(9): 1625-1638.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (1137) PDF downloads(1077) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return