Asymmetric crossing shock wave-turbulent boundary layer interaction

Numerical simulation of crossing-shock-wave/turbulent-boundary-layer interaction using a two-equation model of turbulence

“…Computational results are compared to the experimental data at M ∞ = 3.9 for (α 1 , α 2 ) = (7 • , 7 • ) and (7 • , 11 • ). Comparison is also presented with previous computational results of Knight et al (1995b) using the k- Chien model, and Zha & Knight (1996) using a full Reynolds stress equation model for the (α 1 , α 2 ) = (7 • , 11 • ) case.…”

“…Details of computations The computational results are compared to the experimental data of Zheltovodov et al (1994Zheltovodov et al ( , 1998a for the (α 1 , α 2 ) = (7 • , 7 • ) and (7 • , 11 • ) configurations. For the (α 1 , α 2 ) = (7 • , 11 • ) case, the computations are also compared with previous simulations by Knight et al (1995b) using the low Reynolds number correction of Chien (1982), and by Zha & Knight (1996) using a full Reynolds stress equation (RSE) model. The experimental configuration, which consists of two fins mounted on a flat plate, is shown in figure 12 for (α 1 , α 2 ) = (7 • , 11 • ).…”

“…The inflow profile matches the experimental displacement thickness. The thin boundary layers on sidewalls can be neglected since the reflected shock waves either intersect the sidewalls near the exit or not at all (Knight et al 1995b;Zha & Knight 1996).…”

“…Recent research efforts have concentrated on a particular family of flows involving three-dimensional shock-wave/turbulent-boundary-layer interactions, namely the crossing shock ('double fin') interactions (figure 1), due to applications to high-speed inlets (Edwards 1976;Sakell, Knight & Zheltovodov 1994). Significant research efforts have been concentrated on the development and evaluation of turbulence models capable of providing accurate predictions of the flow structure and aerothermodynamic loads on the bottom flat-plate surface (Narayanswami et al 1992;Narayanswami, Horstman & Knight 1993a;Narayanswami, Knight & Horstman 1993c); Garrison 1994;Garrison et al 1994;Gaitonde, Shang & Visbal 1995;Knight et al 1995a;Gaitonde et al 1997Gaitonde et al , 1998. A review of theoretical and experimental studies of the crossing-shock interactions can be found in Knight et al (1995b), Degrez (1993), Zheltovodov, Maksimov & Shevchenko (1998a) and Zheltovodov et al (1998b).…”

“…However, the accurate prediction of the surface heat transfer and skin friction remains a challenging problem (Narayanswami et al 1993a;Garrison et al 1994). While the surface pressure is to a large extent determined by the inviscid rotational character of the flow and therefore not strongly affected by the particular choice of the theoretical turbulence model (Knight et al 1995b), the surface derivative quantities (i.e. skin friction and heat transfer) are strongly influenced by the turbulence model.…”