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ACTA AERONAUTICAET ASTRONAUTICA SINICA ›› 2022, Vol. 43 ›› Issue (8): 125794-125794.doi: 10.7527/S1000-6893.21.25794

• Fluid Mechanics and Flight Mechanics • Previous Articles     Next Articles

γ-Reθt-fRe transition model for compressible flow

LIU Qingyang1, LEI Juanmian1, LIU Zhou2, SHI Lei2, ZHOU Weijiang2   

  1. 1. School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China;
    2. China Academy of Aerospace Aerodynamics, Beijing 100074, China
  • Received:2021-05-13 Revised:2021-07-22 Online:2022-08-15 Published:2022-09-05
  • Supported by:
    National Numerical Windtunnel Project;National Natural Science Foundation of China (11772317)

Abstract: A transition model, γ-Reθ t-fRe, considering flow compressibility is developed from the original γ-Reθ ttransition model framework. The compressibility correction is introduced for the existing transition criteria, and the original transition correlation function based on incompressible flow is modified using the Reynolds number compressibility analogy relation obtained by the reference temperature method. To achieve model localization, an additional Reynolds number compressibility analogy relation fRe transport equation is constructed. The developed γ-Reθ t-fRe transition model is used to examine the transition cases under different flow conditions and compared with the basic γ-Reθ t transition model. The numerical simulation results show that the γ-Reθ t-fRe transition model achieves seamless unified simulation capability from low speed to high speed. It is automatically restored to the basic γ-Reθ t transition model under low speed flow conditions, while significantly improves the prediction of the flow transition trigger position and transition zone development under supersonic and hypersonic flow conditions.

Key words: flow transition, hypersonic, γ-Reθ t transition model, reference temperature method, compressibility correction

CLC Number: