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A numerical study of unsteady fluid flow in in-line and staggered tube banks

机译:串联和交错管束中非稳态流体流动的数值研究

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This paper is concerned with the results of numerical calculations for transient flow in in-line-square and rotated-square tube banks with a pitch-to-diameter ratio of 2:1, in the Reynolds number range of 30-3000. Transient-periodic behaviour is induced by the consideration of two or more modules, with a sinusoidal span-wise perturbation being applied in the upstream module. There is a triode-like effect, whereby the downstream response to the stimulus is amplified, and there is a net gain in the crosswise flow component. When an appropriate feedback mechanism is provided, a stable transient behaviour is obtained, with alternate vortices being shed from each cylinder. Flow visualization studies of the results of the calculations are presented together with quantitative details of pressure drop, lift, drag and heat transfer. For the staggered bank, a wake-switching or Coanda effect was observed as the serpentine-shaped wake attached to alternate sides of the downstream cylinder. The induced response is independent of the amplitude and frequency of the applied disturbance, including the case of spontaneous behaviour with no excitation mechanism. For the in-line case where each cylinder is in the shadow of the previous one, the motion is less pronounced; however, a shear-layer instability associated with the alternating spin of shed vortices was observed. In this case, the response was found to be somewhat dependent on the frequency of the applied disturbance, and a transient motion could not be induced spontaneously in the absence of an explicit feedback mechanism. Calculated Strouhal numbers were in fair agreement with experimental data: for the staggered geometry, they had values of between 0.26 and 0.35, or from -21 to +6% higher than measured values, while for the in-line geometry, the Strouhal numbers ranged between 0.09 and 0.12, or about 20-40% lower than experimental values.
机译:本文关注的是在直径与直径之比为2:1(雷诺数范围为30-3000)的直角方管和旋转方管​​中瞬态流动的数值计算结果。通过考虑两个或多个模块来诱发瞬态行为,并在上游模块中应用正弦跨度扰动。存在类似三极管的效应,从而增强了对刺激的下游响应,并且在横向流动分量中有净收益。当提供适当的反馈机制时,可以获得稳定的瞬态行为,并且每个圆柱体都会产生交替的涡流。给出了计算结果的流动可视化研究,以及压降,升力,阻力和传热的定量细节。对于交错的堤坝,由于蛇形的尾流附着在下游圆柱体的交替侧面,因此观察到了尾流切换或柯恩达效应。感应响应与所施加干扰的幅度和频率无关,包括没有激励机制的自发行为。对于每个圆柱体都位于前一个圆柱体阴影下的串联情况,运动不太明显。但是,观察到与脱落涡的交替旋转相关的剪切层不稳定性。在这种情况下,发现响应在某种程度上取决于所施加干扰的频率,并且在缺少显式反馈机制的情况下,无法自发引起瞬态运动。计算出的Strouhal数与实验数据完全吻合:对于交错几何,其Strouhal数的值介于0.26和0.35之间,比测量值高-21至+ 6%,而对于在线几何,Strouhal数的范围为介于0.09和0.12之间,比实验值低约20-40%。

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