YANG Zhi-yang, ZHAO Lei, LUO Ji-sheng. Instability and Transition Prediction of Stationary Crossflow Vortices Over Supersonic Swept Elliptic Cylinders[J]. Applied Mathematics and Mechanics, 2017, 38(8): 853-862. doi: 10.21656/1000-0887.370303
Citation: YANG Zhi-yang, ZHAO Lei, LUO Ji-sheng. Instability and Transition Prediction of Stationary Crossflow Vortices Over Supersonic Swept Elliptic Cylinders[J]. Applied Mathematics and Mechanics, 2017, 38(8): 853-862. doi: 10.21656/1000-0887.370303

Instability and Transition Prediction of Stationary Crossflow Vortices Over Supersonic Swept Elliptic Cylinders

doi: 10.21656/1000-0887.370303
Funds:  The National Natural Science Foundation of China (Key Program)(11332007)
  • Received Date: 2016-10-09
  • Rev Recd Date: 2016-11-04
  • Publish Date: 2017-08-15
  • Some experiments had shown that stationary crossflow vortices may cause transition over the 1st halves of supersonic swept cylinders. The swept elliptic cylinders with infinite spanwise lengths were used to simulate the swept wings of supersonic aircrafts at high altitudes. Based on the eN method and the N factor, the influence of changing the parameters including the upwind axis length, the Reynolds number, the swept angle and the Mach number on the instability of the stationary crossflow vortices over supersonic infinite swept elliptic cylinders was studied. The results show that, the instability of stationary crossflow vortices is stronger with longer upwind axes or larger Reynolds numbers. Meanwhile, the relationship between the instability of stationary crossflow vortices and the Reynolds number is almost linear. The results also show that the stationary crossflow vortices are more stable in the conditions with greater Mach numbers. The change of the swept angle in a certain range has a small effect on the instability of stationary crossflow vortices. These results would be helpful to improve the understanding of the transition mechanism over the leading edges of supersonic aircraft wings and provide theoretical guidance for crossflow transition prediction.
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