Modeling of interaction of long-wave disturbances with a shock wave on a flat plate with allowance for real gas effects

The problem of the long-wave disturbance interaction with a shock wave on a wedge at an angle of attack is considered. Numerical simulations are performed by solving two-dimensional unsteady Navier–Stokes equations with the module addition created by the user and allowing taking into account the vibrational nonequilibrium of carbon dioxide molecules within the two-temperature model of relaxation flows. A parametric study on the effect of Mach numbers, Reynolds numbers and angles of attack on the disturbance transformation coefficients is carried out for the following gases: equilibrium air, equilibrium vibrationally excited CO₂, and nonequilibrium CO₂. The calculation results on the pressure pulsations on the model surface were compared with the data obtained for long-wave disturbance from the general solution of the inviscid problem of the disturbance interaction with a shock wave on a wedge [1]. It is shown that the obtained long wavelength disturbance transformation coefficients are practically the same as for the inviscid case in the studied range of Mach numbers (M_∞=4.5÷8.9).