Numerical simulation of strength of turbulence effect on normal shock/homogeneous turbulence interaction

Abstract

The interaction of shock waves with turbulent flows is of great practical importance in engineering applications. These types of interactions are generally seen in aeromechanism system, in combustion process, and in high-speed rotor flows. Shock wave interactions with grid-generated homogeneous and isotropic turbulence are observed in the chapter numerically by solving the time-dependent three-dimensional Navier–Stokes equations with a k-ɛ turbulence model for a compressible fluid. The amplification of longitudinal turbulence intensity and turbulent kinetic energy (TKE) level are measured numerically for different turbulence regimes located along the longitudinal distance behind the turbulence-generating grid in the shock tube. The amplification range of longitudinal turbulence intensity is from 1.318 to 1.453, and the amplification range of turbulent kinetic energy level is from 1.845 to 1.949 in the interaction of normal shock with different strength of homogeneous turbulent fields, where the dissipation rate of turbulent kinetic energy decreases in all the cases of the strength of turbulent fields. The amplification of strong shock interaction with strong turbulent field is still a questionable matter. To experimentally find out the amplification of turbulent intensities and other parameters is a difficult task. In such cases, computational results can be used as diagnostics tools.