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Numerical Investigation of Super- and Hypersonic Laminar Shockwave Boundary Layer Interactions

机译:超音速和超音速层流波边界层相互作用的数值研究

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Direct numerical simulations of laminar shockwave boundary layer interactions were carried out for two Mach numbers, M=2.3 and M=5.92. For the smaller supersonic Mach number, the focus was on the effect of sweep on the flow similarity. Three sweep angles, 22.5, 40 and 53 deg, were considered. Simulations with unswept leading edge exhibit cylindrical similarity of the interaction region for 22.5 deg sweep and cylindrical symmetry otherwise. When the leading edge was swept, cylindrical similarity was obtained for all sweep angles. The focus of the simulations for the larger hypersonic Mach number was on the effect of sweep on stability. For these simulations periodic boundary condition were employed in the spanwise direction and the resulting data were analyzed with the proper orthogonal and dynamic mode decomposition. In accordance with Hildebrand et al., steady spanwise perturbations that grow in time inside the interaction region are observed for the unswept case. When a mild freestream crossflow component is added for a sweep angle of 10 deg, traveling oblique waves appear in the interaction region likely as a result of crossflow instability. A further increase of the sweep angle to 22.5 deg leads to the damping of all disturbances which suggests that sweep is ultimately stabilizing.
机译:对两个马赫数M = 2.3和M = 5.92进行了层状激波边界层相互作用的直接数值模拟。对于较小的超音速马赫数,重点是扫描对流动相似性的影响。考虑了三个后掠角,分别为22.5、40和53度。具有未扫掠的前缘的模拟显示了22.5度扫掠时交互区域的圆柱相似性,否则显示了圆柱对称性。当扫掠前缘时,对于所有扫掠角都获得了圆柱相似性。高超声速马赫数模拟的重点是扫描对稳定性的影响。对于这些仿真,在展向方向上采用了周期性边界条件,并通过适当的正交和动态模式分解对所得数据进行了分析。根据Hildebrand等人的研究,对于未扫描的情况,在交互作用区域内会随着时间的推移逐渐产生稳定的翼展方向扰动。当以10度的后掠角添加温和的自由流错流分量时,可能会由于错流的不稳定性而在相互作用区域中出现行进的斜波。扫掠角进一步增加到22.5度会导致所有干扰的衰减,这表明扫掠最终是稳定的。

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