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Numerical investigation of laminar natural convection on a heated vertical plate subjected to a periodic oscillation

机译:周期性振动下加热垂直板层流自然对流的数值研究

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摘要

Natural-convective heat transfer of oscillating vertical plates is related to industrial and technological applications. In this paper, a numerical study is described of the laminar natural convection on a periodically oscillating vertical flat plate heated at a uniform temperature. The exact solutions for the classical Stoke's problem and the similarity solutions (by Ostrach) are used to verify the numerical formulation. Of particular interest of this paper is the heat transfer characteristics when the oscillatory velocity being close to the flow velocity in the velocity boundary layer under non-oscillation condition. The results show that a two-fold increase in space-time averaged Nusselt number is achieved. And it is found that the heat transfer for the problem under consideration significantly depends on the dimensionless oscillation velocity, a relative size between the oscillation velocity and the flow velocity in the velocity boundary layer of a stationary plate. The effects of the governing parameters on the heat transfer are investigated numerically. The heat transfer enhancement is found to be increased with the dimensionless oscillation frequency, amplitude, the Prandtl number, but decreased with the Grashof number.
机译:垂直振荡板的自然对流传热与工业和技术应用有关。在本文中,对在均匀温度下加热的周期性振荡垂直平板上的层流自然对流进行了数值研究。使用经典斯托克问题的精确解和相似解(由Ostrach编写)来验证数值公式。本文特别感兴趣的是在非振荡条件下,当振荡速度接近速度边界层中的流速时的传热特性。结果表明,时空平均努塞尔数增加了两倍。并且发现,所考虑的问题的热传递很大程度上取决于无量纲的振荡速度,振荡速度与固定板的速度边界层中的流速之间的相对大小。数值研究了控制参数对传热的影响。发现传热增强随无因次振荡频率,振幅,普朗特数增加,而随格拉索夫数减少。

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