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首页> 外文期刊>International Journal of Heat and Mass Transfer >Laminar natural convection heat transfer in a differentially heated cavity with a thin porous fin attached to the hot wall
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Laminar natural convection heat transfer in a differentially heated cavity with a thin porous fin attached to the hot wall

机译：在差热腔中的层流自然对流传热，并在热壁上连接了薄的多孔翅片

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摘要

Laminar natural convection heat transfer in a differentially heated square cavity with a thin porous fin attached to the hot wall is studied numerically under steady state condition. Various pertinent parameters were employed, such as the Rayleigh number, Darcy number, fin inclination angle, length and position of the fin. Three different fin lengths (L = 0.2, 0.35, and 0.5) and positions (S = 0.25, 0.5, and 0.75) are considered. The inclination fin angle is varied between 30° and 150°. The left wall of the cavity, to which the fin is attached, is assumed uniformly heated while the right wall is kept at a lower temperature. In addition, the horizontal walls of the cavity were considered insulated. Furthermore, the governing transport equations within the porous media are treated according to the volume-average theory while the Navier-Stokes equations were employed to represent the transport phenomena in the rest of the cavity. Moreover, the governing equations are solved using a finite element formulation based on the Galerkin method of weighted residuals. The results of this investigation showed that the presence of a porous fin increases the average Nusselt number when compared with the differentially heated cavity for various lengths, positions, and inclination angle of the fin. To achieve optimum heat transfer, the present results suggests that the porous fin should be placed either close to the bottom surface or in the middle of the vertical hot surface and an angle of 90°. Finally, a numerical correlation for the average Nusselt number was developed as a function of the employed range of the Rayleigh number, Darcy number, fin's length and position.
机译：在稳态条件下，数值研究了差热方形腔中的层流自然对流传热，该腔具有附着在热壁上的薄多孔翅片。使用各种相关参数，例如瑞利数，达西数，鳍倾斜角，鳍的长度和位置。考虑了三种不同的鳍片长度（L = 0.2、0.35和0.5）和位置（S = 0.25、0.5和0.75）。倾斜鳍片角度在30°和150°之间变化。翅片所附着的腔体的左壁假定被均匀加热，而右壁则保持较低的温度。另外，空腔的水平壁被认为是绝缘的。此外，根据体积平均理论处理了多孔介质中的主导输运方程，而采用Navier-Stokes方程来表示在其余腔体中的输运现象。此外，使用基于加权残差的Galerkin方法的有限元公式求解控制方程。这项研究的结果表明，与翅片的各种长度，位置和倾斜角度的差热腔相比，多孔翅片的存在会增加平均Nusselt数。为了实现最佳的热传递，目前的结果表明，应将多孔散热片放置在靠近底部表面或垂直热表面中间的位置，并以90°的角度放置。最终，根据瑞利数，达西数，鳍的长度和位置的采用范围，得出了平均努塞尔数的数值相关性。

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  • 作者

    Khalil Khanafer; Abdalla AlAmiri; Joe Bull;

  • 作者单位

    Mechanical Engineering Department, Australian College of Kuwait, Safat 13015, Kuwait,Biomedical Engineering Department, University of Michigan, Ann Arbor, Ml 48109, USA;

    Mechanical Engineering Department, United Arab Emirates University, P.O. Box 17555, AlAin, United Arab Emirates;

    Biomedical Engineering Department, University of Michigan, Ann Arbor, Ml 48109, USA;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Natural convection; Non-Darcian effects; Fins; Inclination angle;

    机译：自然对流;非达西效应;鳍片倾斜角度;

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