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Effect of Airfoil Shape and Reynolds Number on Leading Edge Vortex Shedding in Unsteady Flows

机译:翼型和雷诺数对非定常流动中前缘涡旋脱落的影响

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Leading edge vortex (LEV) formation, which is initiated by separation at the leading edge, depends on airfoil shape, Reynolds number, rate of translation/rotation, amplitude of motion and the pitch axis location. The Leading Edge Suction Parameter (LESP) derived from inviscid theory, serves to predict the onset LEV formation for any unsteady motion using a critical value that depends on the airfoil shape and Reynolds number of operation. In this paper, the critical LESP value is determined for different airfoils over a range of Reynolds numbers. The SD7003 airfoil was used as a baseline and modified airfoils were derived by altering the leading edge radius, keeping maximum thickness unchanged. Increasing the leading edge radius resulted in higher critical LESP values, demonstrating that separation is delayed for flow over a more rounded leading edge since it can support more suction. The effect of Reynolds number was more complicated, with the critical LESP decreasing from Re = 5,000 to Re = 100,000, and increasing after. Hence conditions which promote and suppress leading edge vortex formation were identified, and the critical LESP values were made available over a broad range of parameters, which can be used for low-order prediction and modeling of complicated, vortex-dominated flows.
机译:前缘涡流(LEV)的形成取决于前缘的分离,取决于机翼形状,雷诺数,平移/旋转速率,运动幅度和俯仰轴位置。源自无粘性理论的前缘吸力参数(LESP)用于使用取决于机翼形状和雷诺数的临界值来预测任何非定常运动的起始LEV形成。在本文中,确定了在雷诺数范围内不同机翼的LESP临界值。以SD7003机翼为基准,并通过改变前缘半径来获得改进的机翼,并保持最大厚度不变。增加前缘半径会导致较高的关键LESP值,这表明分离会延迟流过更圆角的前缘的流动,因为它可以支撑更多的吸力。雷诺数的影响更为复杂,临界LESP从Re = 5,000减小到Re = 100,000,然后增加。因此,确定了促进和抑制前沿涡流形成的条件,并在广泛的参数范围内提供了关键的LESP值,这些参数可用于低阶预测和复杂的,以涡流为主的流动建模。

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