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Spanwise gradients in flow speed help stabilize leading-edge vortices on revolving wings

机译:流速的跨度梯度有助于稳定旋转机翼上的前沿涡流

摘要

While a leading-edge vortex on an infinite translating wing is shed after a short distance of travel, its counterpart on a finite span revolving insect wing or maple seed membrane exhibits robust attachment. The latter explains the aerodynamic lift generated by such biological species. Here we analyze the mechanisms responsible for leading-edge vortex attachment. We compute the Navier-Stokes solution of the flow past a finite span wing (i) embedded in a uniform oncoming flow, (ii) embedded in a spanwise varying oncoming flow, and (iii) revolving about its root. We show that over flapping amplitudes typical of insect flight (ϕ=120∘), the spanwise gradient of the local wing speed may suffice in maintaining leading-edge vortex attachment. We correlate this result with the development of spanwise flow, driven by the spanwise gradient of pressure, and we evaluate the sensitivity of such a mechanism to the Reynolds number. It is noted, however, that leading-edge vortex attachment through the spanwise gradient of the local wing speed does not promote large lift, which ultimately arises from centrifugal and Coriolis effects.
机译:短距离飞行后,在无限平移机翼上产生了前沿涡流,而在有限跨度的旋转昆虫机翼或枫树种子膜上,它的对应涡流显示出牢固的附着力。后者解释了这种生物物种产生的空气动力学升力。在这里,我们分析了导致前沿涡旋附着的机制。我们计算经过有限跨度翼的流动的Navier-Stokes解(i)嵌入均匀的迎面流中;(ii)嵌入沿翼展方向变化的迎面流中;以及(iii)绕其根旋转。我们表明,在典型的昆虫飞行拍打幅度(ϕ =120∘)上,局部机翼速度的翼展方向梯度可能足以维持前沿涡旋附着。我们将此结果与翼展方向流动的发展相关联,并由翼展方向压力梯度驱动,并评估了这种机制对雷诺数的敏感性。但是,要注意的是,通过局部机翼速度的翼展方向梯度的前缘涡旋附着并不会促进大升力,这最终是由离心和科里奥利效应引起的。

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