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Effects of Nose Bluntness on Stability of Hypersonic Boundary Layers over Blunt Cone

机译:鼻子钝度对钝锥上超音速边界层稳定性的影响

摘要

Receptivity and stability of hypersonic boundary layers are numerically investigated for boundary layer flows over a 5-degree straight cone at a free-stream Mach number of 6.0. To compute the shock and the interaction of shock with the instability waves, we solve the Navier-Stokes equations in axisymmetric coordinates. The governing equations are solved using the 5th-order accurate weighted essentially non-oscillatory (WENO) scheme for space discretization and using third-order total-variation-diminishing (TVD) Runge-Kutta scheme for time integration. After the mean flow field is computed, disturbances are introduced at the upstream end of the computational domain. Generation of instability waves from leading edge region and receptivity of boundary layer to slow acoustic waves are investigated. Computations are performed for a cone with nose radii of 0.001, 0.05 and 0.10 inches that give Reynolds numbers based on the nose radii ranging from 650 to 130,000. The linear stability results showed that the bluntness has a strong stabilizing effect on the stability of axisymmetric boundary layers. The transition Reynolds number for a cone with the nose Reynolds number of 65,000 is increased by a factor of 1.82 compared to that for a sharp cone. The receptivity coefficient for a sharp cone is about 4.23 and it is very small, approx.10(exp -3), for large bluntness.
机译:对于自由流马赫数为6.0的5度直锥上的边界层流,对高超声速边界层的接受性和稳定性进行了数值研究。为了计算冲击以及冲击与不稳定波的相互作用,我们在轴对称坐标中求解了Navier-Stokes方程。使用五阶精确加权基本非振荡(WENO)方案进行空间离散化,并使用三阶总变差减小(TVD)Runge-Kutta方案进行时间积分,求解控制方程。在计算了平均流场之后,在计算域的上游端引入了干扰。研究了从前缘区域产生不稳定性波以及边界层对慢速声波的接受度。对鼻子半径为0.001、0.05和0.10英寸的圆锥体进行计算,得出基于雷诺半径的650至130,000的雷诺数。线性稳定性结果表明,钝度对轴对称边界层的稳定性具有很强的稳定作用。鼻尖雷诺数为65,000的圆锥体的过渡雷诺数比尖锥的过渡雷诺数增加了1.82倍。尖锐的圆锥体的接收系数约为4.23,对于较大的钝度,它的接收系数非常小,约为10(exp -3)。

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