The stability of a boundary layer formed by a shock wave propagating in an expansion tube under an isothermal wall condition is explored theoretically and numerically. The linear stability analysis predicts that the boundary layer formed by the shock wave under the isothermal wall condition can be unstable. The growth of artificial disturbances is examined by numerically solving the axisymmetric Navier–Stokes equations for the boundary layer including artificial disturbances behind the propagating shock wave. As a result, it is found that disturbances with a specific frequency grow downstream of the boundary layer. It is suggested that the cooling effect of the isothermal wall contributes laminar-turbulent transition in the boundary layer formed by the shock wave propagation.

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Hypersonic Boundary Layer Instability in Long-Distance Propagation of Shock Wave

  • Hiroki Sakamoto,
  • Shintaro Sato,
  • Naofumi Ohnishi

摘要

The stability of a boundary layer formed by a shock wave propagating in an expansion tube under an isothermal wall condition is explored theoretically and numerically. The linear stability analysis predicts that the boundary layer formed by the shock wave under the isothermal wall condition can be unstable. The growth of artificial disturbances is examined by numerically solving the axisymmetric Navier–Stokes equations for the boundary layer including artificial disturbances behind the propagating shock wave. As a result, it is found that disturbances with a specific frequency grow downstream of the boundary layer. It is suggested that the cooling effect of the isothermal wall contributes laminar-turbulent transition in the boundary layer formed by the shock wave propagation.