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Non-Circulatory Force on a Finite Thickness Body Encountering a Gust (INVITED)

机译:遇到阵风的有限厚度物体上的非循环力(已邀请)

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Many low-order models for unsteady flows divide the force into circulatory and non-circulatory components. The former is associated with vorticity in the flow field, whilst the latter is often synonymous with the added mass force. Investigating a cylinder sharp-edged gust encounter, at a Reynolds number of 6000, probes the origin of these respective forces. Vorticity residing in the flow field does not only originate from the cylinder but it is also located in the gust shear layers, which delimit the vertical gust velocity from the surrounding quiescent fluid. It is possible to represent the body surface by a vortex sheet where individual components, satisfying the non-through flow condition, originate from different sources. All vorticity external to the body generates a complementary contribution to this surface vortex sheet. A further vortex sheet component is uniquely attributed to linear acceleration of a body and linked to the added mass effect. Finally, a non-circulatory vortex sheet forms due to the induced velocity by the gust vorticity. In Kiissner's potential flow gust model this latter vortex sheet contribution is attributed to added mass. However, because the gust encounter is not associated with any body acceleration, the force must rather be linked to the growth and redistribution of this vortex sheet, due to the relative advection of the gust shear layer vorticity. Particle image velocimetry validates this result using a surging and rotating cylinder at gust ratios of 0.5 and 1. Force balance measurements show that the force originating from the rate of change of the non-circulatory gust vortex sheet, unlike in the case for an infinitely thin plate, vastly over-predicts the initial rise in force as the cylinder enters the gust. This is because, when considering the rate of change of the vortex sheet, it is implicitly assumed that all of the vertical momentum of the gust flow inside the region occupied by the cylinder, is lost. The overestimation is a result of the rigid shear layer assumption inherent to the Kiissner model. In reality, the gust shear layers deflect, causing a spread of vertical momenttm. The deflection of the shear layers can be analytically approximated by removing the contribution due to the rate of change of momentum inside the cylinder. This improves the force prediction but does not fully recover the experimental force measurements during the initial entry into the gust. On a practical level this suggests that for bodies of finite thickness the non-circulatory force cannot be easily calculated, as it is difficult to quantify the effect of the body volume.
机译:许多非稳态流动的低阶模型将力分为循环和非循环分量。前者与流场中的涡旋相关,而后者通常与增加的质量力同义。研究雷诺数为6000的气瓶锋利的阵风时,会探测到这些力的起源。流场中存在的涡流不仅来自圆柱体,而且还位于阵风剪切层中,这限制了周围静止流体的垂直阵风速度。可以通过涡流片来表示体表,其中满足非流通条件的各个组件均来自不同的来源。人体外部的所有涡流都会对该表面涡流片产生互补作用。另一个涡流片成分唯一地归因于物体的线性加速度,并与附加的质量效应相关。最后,由于阵风涡度引起的速度,形成了非循环涡旋片。在Kiissner的潜在流动阵风模型中,后一个涡旋片的贡献是由于增加了质量。但是,由于阵风的遭遇与人体加速度无关,因此,由于阵风剪切层涡旋的相对对流,该力必须与该涡旋片的生长和重新分布有关。粒子图像测速技术使用阵风比为0.5和1的旋转和旋转圆柱体验证了该结果。力平衡测量表明,力来自非循环阵风涡流片的变化率,这与无限薄的情况不同。板,极大地预测了汽缸进入阵风时力的初始上升。这是因为,当考虑涡旋片的变化率时,隐含地假定损失了在圆柱体占据的区域内的阵风的所有垂直动量。高估是Kiissner模型固有的刚性剪切层假设的结果。实际上,阵风剪切层会偏转,从而引起垂直动量的扩展。剪切层的挠度可以通过消除由于圆柱体内动量变化率引起的影响而在分析上近似得出。这改善了力的预测,但在初次进入阵风期间无法完全恢复实验力的测量结果。在实际水平上,这表明对于厚度有限的物体,非循环力无法轻松计算,因为难以量化物体体积的影响。

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