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Natural convection in a horizontal channel provided with heat generating blocks:Discussion of the isothermal blocks validity

机译:设有生热块的水平通道中的自然对流:等温块有效性的讨论

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摘要

This work presents a numerical study of air natural convection in a horizontal channel provided with heating blocks periodically distributed on its lower adiabatic surface. The blocks are submitted to a uniform heat generation and the channel upper surface is maintained at a cold constant temperature. The main objective of this study is to examine the validity of the model with isothermal blocks for the system under consideration. Then the calculations are performed using two different models. In the first (denoted Model 1 or M1) the calculations are performed by imposing a uniform volumetric heat generation inside the blocks. In the second model (denoted Model 2 or M2), the blocks are maintained isothermal at the average blocks surface temperature deduced from the Model 1. The controlling parameters of the present problem are the thermal conductivity ratio of the solid block and the fluid (0.1 ≤ k~* = k_s/ k_a≤ 200) and the Rayleigh number (10~4 ≤ Ra ≤ 10~7). The validity of the isothermal model is examined for various Ra by using criteria based on local and mean heat transfer characteristics. It is found that some solutions of the isothermal model do not reproduce correctly the results of the first model even for very large conductivity ratios. The Biot number below which the Model 2 is valid depends strongly on the Rayleigh number and the type of solution.
机译:这项工作提出了在水平通道中自然对流的数值研究,水平通道在其绝热的下表面定期分布有加热块。块经受均匀的热量产生,并且通道上表面保持在恒定的低温下。这项研究的主要目的是检验等温模块对所考虑系统的有效性。然后使用两个不同的模型执行计算。在第一个模型(表示为Model 1或M1)中,通过在模块内部施加均匀的体积热量来执行计算。在第二个模型(表示为模型2或M2)中,在从模型1推导出的平均块表面温度下,将块保持等温。当前问题的控制参数是固体块和流体的热导率(0.1)。 ≤k〜* = k_s /k_a≤200)和瑞利数(10〜4≤Ra≤10〜7)。通过基于局部和平均传热特性的标准,针对各种Ra检验了等温模型的有效性。发现,即使对于非常大的电导率,等温模型的某些解决方案也无法正确地重现第一个模型的结果。模型2低于其的比奥数在很大程度上取决于瑞利数和溶液的类型。

著录项

  • 来源
    《Energy Conversion & Management》 |2012年第1期|p.45-54|共10页
  • 作者单位

    University Cadi Ayyad, Faculty of Sciences Semlalia, LMFE, Unit Associated to CNRST (URAC 27), BP 2390, Marrakech, Morocco,University de Cergy-Pontoise, L2MCC F-95000 Cergy-Pontoise, France;

    University Cadi Ayyad, Faculty of Sciences Semlalia, LMFE, Unit Associated to CNRST (URAC 27), BP 2390, Marrakech, Morocco;

    University Cadi Ayyad, Faculty of Sciences Semlalia, LMFE, Unit Associated to CNRST (URAC 27), BP 2390, Marrakech, Morocco;

    University de Cergy-Pontoise, L2MCC F-95000 Cergy-Pontoise, France;

  • 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

    multiplicity of solutions; natural convection; horizontal channel; heated blocks; isothermal model; numerical study;

    机译:解决方案的多样性;自然对流;水平通道加热块;等温模型数值研究;

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