LI Bei-bei, YAN Zhen-rong, CHEN Jian, XU Hong-tao, YANG Mo. Lattice Boltzmann Simulation of Double Diffusive Natural Convection in a Square Enclosure Filled With Porous Medium[J]. Applied Mathematics and Mechanics, 2016, 37(2): 184-194. doi: 10.3879/j.issn.1000-0887.2016.02.007
Citation: LI Bei-bei, YAN Zhen-rong, CHEN Jian, XU Hong-tao, YANG Mo. Lattice Boltzmann Simulation of Double Diffusive Natural Convection in a Square Enclosure Filled With Porous Medium[J]. Applied Mathematics and Mechanics, 2016, 37(2): 184-194. doi: 10.3879/j.issn.1000-0887.2016.02.007

Lattice Boltzmann Simulation of Double Diffusive Natural Convection in a Square Enclosure Filled With Porous Medium

doi: 10.3879/j.issn.1000-0887.2016.02.007
Funds:  The National Natural Science Foundation of China(51276117)
  • Received Date: 2015-07-28
  • Rev Recd Date: 2015-09-06
  • Publish Date: 2016-02-15
  • The lattice Boltzmann method was adopted to investigate the double diffusive natural convection in a square enclosure filled with porous medium. The temperature and concentration on surrounding walls were low and those on the inner heat cylinder surface were high. The influences of Darcy number Da(10-4Da≤10-2) and buoyancyratio B(-5.0≤B≤5.0) on average Nusselt number Nuav and Sherwood number Shav on the heat cylinder surface were studied. The results indicate that both Nuav and Shav increase with Da except for the case of B=-1.0,and both Nuav and Shav are almost independent of B for Da=10-4.Both Nuav and Shav first decrease and then increase with B increasing from -5.0 to 5.0 for Da=10-3 and 10-2 and reach the minimal value for B=-1.0.
  • loading
  • [1]
    王丽. 部分填充多孔介质复合腔体内流体流动及传热传质的研究[D]. 硕士学位论文. 山东: 山东建筑大学, 2010.(WANG Li. Convective heat and mass transfer in a complex cavity partially filled with porous medium[D]. Master Thesis. Shandong: Shandong Jianzhu University, 2010.(in Chinese))
    [2]
    Chamkha A J, Al-Naser H. Double-diffusive convection in an inclined porous enclosure with opposing temperature and concentration gradients[J].International Journal of Thermal Sciences,2001,40(3): 227-244.
    [3]
    刘芳, 陈宝明. 多孔介质对室内有机挥发物扩散的影响[J]. 山东建筑大学学报, 2012,27(2): 160-163.(LIU Fang, CHEN Bao-ming. Influence of porous media on diffusion of VOCs in room[J].Journal of Shandong Jianzhu University,2012,27(2): 160-163.(in Chinese))
    [4]
    Jena S K, Mahapatra S K, Sarkar A. Double diffusive buoyancy opposed natural convection in a porous cavity having partially active vertical walls[J].International Journal of Heat and Mass Transfer,2013,62: 805-817.
    [5]
    GUO Zhao-li, Zhao T S. Lattice Boltzmann simulation of natural convection with temperature-dependent viscosity in a porous cavity[J].Progress in Computational Fluid Dynamics,2005,5(1/2): 110-117.
    [6]
    Haghshenas A, Rafati Nasr M, Rahimian M H. Numerical simulation of natural convection in an open-ended square cavity filled with porous medium by lattice Boltzmann method[J].International Communications in Heat and Mass Transfer,2010,37(10): 1513-1519.
    [7]
    Djebali R, ElGanaoui M, Naffouti T. A 2D lattice Boltzmann full analysis of MHD convective heat transfer in saturated porous square enclosure[J].Computer Modeling in Engineering and Sciences,2012,84(6): 499-527.
    [8]
    WANG Liang, MI Jian-chun, GUO Zhao-li. A modified lattice Bhatnagar-Gross-Krook model for convection heat transfer in porous media[J].International Journal of Heat and Mass Transfer,2016,94: 267-291.
    [9]
    赵凯, 宣益民, 李强. 基于格子Boltzmann方法的复杂多孔介质内双扩散效应的对流传热传质机理研究[J]. 科学通报, 2010,55(1): 94-102.(ZHAO Kai, XUAN Yi-ming, LI Qiang. Investigation on the mechanism of convective heat and mass transfer with double diffusive effect inside a complex porous medium using lattice Boltzmann method[J].Chinese Science Bulletin,2010,55(1): 94-102.(in Chinese))
    [10]
    马强, 陈俊, 陈振乾. 分形多孔介质传热传质过程的格子Boltzmann模拟[J]. 化工学报, 2014,65(S1): 180-187.(MA Qiang, CHEN Jun, CHEN Zhen-qian. Lattice Boltzmann simulation for heat and mass transfer in fractal porous medium[J].CIESC Journal,2014,65(S1): 180-187.(in Chinese))
    [11]
    Yoshino M, Inamuro T. Lattice Boltzmann simulations for flow and heat/mass transfer problems in a three-dimensional porous structure[J].International Journal for Numerical Methods in Fluids,2003,43(2): 183-198.
    [12]
    Gray D D, Giorgini A. The validity of the Boussinesq approximation for liquids and gases[J].International Journal of Heat and Mass Transfer,1976,19(5): 545-551.
    [13]
    Nield D A, Bejan A.Convection in Porous Media [M]. 2nd ed. New York: Springer, 1999.
    [14]
    Martys N S. Improved approximation of the Brinkmann equation using a lattice Boltzmann method[J].Physics of Fluids,2001,13(6): 1807-1810.
    [15]
    Bouzidi M, Firdaouss M, Lallem P. Momentum transfer of a Boltzmann-lattice fluid with boundaries[J].Physics of Fluids,2001,13(11): 3452-3459.
    [16]
    GUO Zhao-li, ZHENG Chu-guang, SHI Bao-chang. Non-equilibrium extrapolation method for velocity and boundary conditions in the lattice Boltzmann method[J].Chinese Physics,2002,11(4): 366-374.
  • 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 (985) PDF downloads(661) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return