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Evolution of accelerated laminar boundary layer subjected to isothermal wall heating

机译:等温壁加热下加速层流边界层的演变

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The paper reports on numerical simulation of a laminar near-wall flow subjected simultaneously to a favorable pressure gradient and wall heating at a constant temperature. An important feature of such a flow is an overshoot of the streamwise velocity profile when the velocity within the boundary layer exceeds the velocity in the external main flow. It is shown that the overshoot appears due to the simultaneous action of wall heating and acceleration. The investigation shows that the maximum velocity at a finite Reynolds number arises when the acceleration parameter is positive and the ratio of the wall temperature and the free stream temperature is greater than unity. The overshoot causes an increase of the skin-friction coefficient and the Stanton number. In addition, it leads to a negative momentum thickness. The article demonstrates the applicability of the approximate formula by Volchkov (2006) for the evaluation of the maximum velocity. Based on the own recent research and on an overview of the published literature on similar and related flows, it is concluded that the main prerequisite for a velocity overshoot is an input of energy from a bounding wall.
机译:本文报道了层状近壁流同时受到有利的压力梯度和恒定温度下壁加热的数值模拟。这种流的重要特征是,当边界层内的速度超过外部主流中的速度时,沿流速度分布的过冲。结果表明,由于壁加热和加速的同时作用,出现了超调。研究表明,当加速度参数为正且壁温与自由流温度之比大于1时,会在有限的雷诺数下出现最大速度。过冲导致皮肤摩擦系数和斯坦顿数增加。另外,这导致负的动量厚度。本文证明了Volchkov(2006)的近似公式在最大速度评估中的适用性。基于自己最近的研究以及对相似和相关流动的已发表文献的概述,得出的结论是,速度超调的主要前提条件是来自边界墙的能量输入。

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