The current investigation delves into the stationary Gӧrtler instability in hypersonic flow over various curved wall configurations using resolvent analysis. The analysis aims to identify the optimal combination of forcing and response that leads to the maximum energy amplification. The growth of the optimal disturbance stems from both the lift-up and centrifugal mechanisms, with the latter gaining prominence as the boundary layer grows. The growth rate of the centrifugal mechanism aligns well with predictions from local stability analysis. It is observed that a reduction in wall curvature stabilizes the Gӧrtler instability, whereas the influence of the change in turning angle is minimal. The findings from the GRA are confirmed through the implementation of a three-dimensional numerical simulation.

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Gӧrtler Instability in Hypersonic Boundary Layer Over Different Curved Wall Geometries

  • K. C. K. Uy,
  • J. Hao,
  • C. Y. Wen

摘要

The current investigation delves into the stationary Gӧrtler instability in hypersonic flow over various curved wall configurations using resolvent analysis. The analysis aims to identify the optimal combination of forcing and response that leads to the maximum energy amplification. The growth of the optimal disturbance stems from both the lift-up and centrifugal mechanisms, with the latter gaining prominence as the boundary layer grows. The growth rate of the centrifugal mechanism aligns well with predictions from local stability analysis. It is observed that a reduction in wall curvature stabilizes the Gӧrtler instability, whereas the influence of the change in turning angle is minimal. The findings from the GRA are confirmed through the implementation of a three-dimensional numerical simulation.