Y. M. Al Badawi, H. M. Duwairi. MHD Natural Convection With Joule and Viscous Heating Effects in Iso-Flux Porous Media-Filled Enclosures[J]. Applied Mathematics and Mechanics, 2010, 31(9): 1057-1065. doi: 10.3879/j.issn.1000-0887.2010.09.006
Citation: Y. M. Al Badawi, H. M. Duwairi. MHD Natural Convection With Joule and Viscous Heating Effects in Iso-Flux Porous Media-Filled Enclosures[J]. Applied Mathematics and Mechanics, 2010, 31(9): 1057-1065. doi: 10.3879/j.issn.1000-0887.2010.09.006

MHD Natural Convection With Joule and Viscous Heating Effects in Iso-Flux Porous Media-Filled Enclosures

doi: 10.3879/j.issn.1000-0887.2010.09.006
  • Received Date: 1900-01-01
  • Rev Recd Date: 2010-07-07
  • Publish Date: 2010-09-15
  • In this study the magnetohydrodynamics(MHD)natural convection heat transfer with Joule and viscous heating effects inside iso-flux porous media filled inclined rectangular enclosures was studied numerically.An iso-heat flux was applied for heating and cooling the two opposing walls of the enclosure while the other walls were adiabatic.The Forchheimer extension of Darcy-Oberbeck-Boussinesq and energy equations were transformed into dimensionless form using a set of suitable variables than solved using a finite difference scheme.The governing parameters are:the magnetic influence number,the modified Rayleigh number,the inclination angle,and the aspect ratio of the enclosure.The results show that the viscous and Joule heating effects decrease heat transfer rates.
  • loading
  • [1]
    Kim S-J, Lee C M. Numerical investigation of cross-flow around a circular cylinder at a low-Reynolds number flow under an electromagnetic force[J]. Journal of Mechanical Science and Technology, 2002, 16(3): 363-375.
    [2]
    Chandra B, Gosh N. MHD flow of a viscoelastic liquid through porous medium[J]. International Journal of Numerical Methods for Heat and Fluid, 2001, 11: 682- 698. doi: 10.1108/09615530110406090
    [3]
    Raptis A, Singh A K. MHD free convection flow past an accelerated vertical plate[J]. Int Comm Heat Mass Transfer, 1983, 10(4): 313-321. doi: 10.1016/0735-1933(83)90016-7
    [4]
    Hossain M A. Viscous and Joule heating effects on MHD-free convection flow with variable plate temperature[J]. Int J Heat Mass Transfer, 1992, 35(12): 3485-3487. doi: 10.1016/0017-9310(92)90234-J
    [5]
    Garandet J P, Alboussiere T, Moreau R. Buoyancy driven convection in a rectangular enclosure with a transverse magnetic field[J]. Int J Heat Mass Transfer, 1992, 35(4): 741-748. doi: 10.1016/0017-9310(92)90242-K
    [6]
    Duwairi H M, Duwairi R M. Thermal radiation effects on MHD-Rayleigh flow with constant surface heat flux[J]. Heat Mass Transfer, 2004, 41(1): 51-57. doi: 10.1007/s00231-004-0524-6
    [7]
    Duwairi H M, Al-Kablawi Y. MHD-conjugate mixed convection heat transfer over a vertical hollow cylinder embedded in a porous medium[J]. Int J Heat and Technology, 2006, 24: 123-128.
    [8]
    Oztop , Hakan F. Natural convection in partially cooled and inclined porous rectangular enclosures[J]. Int J Therm Sci, 2007, 46(2): 149-156. doi: 10.1016/j.ijthermalsci.2006.04.009
    [9]
    什哈德 F G, 杜外瑞 H M. 饱和的多孔介质中含夹杂时的磁流体动力学自然对流[J]. 应用数学和力学, 2009, 30(9): 1042-1048.
    [10]
    Kumar Rathish B V, Shalini. Free convection in a non-Darcian wavy porous enclosure[J]. Int J Engineering Science, 2003, 41(16): 1827-1848. doi: 10.1016/S0020-7225(03)00113-7
    [11]
    Vasseur P, Satish M G, Robillard L. Natural convection in a thin, inclined, porous layer exposed to constant heat flux[J]. Int J Heat Mass Transfer, 1987, 30(3): 537-549. doi: 10.1016/0017-9310(87)90268-7
  • 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 (1265) PDF downloads(833) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return