Analytical investigation of turbulent compressible flows in channels of variable cross section with shock waves

This study investigates the influence of turbulence on gasdynamic processes in channels with variable cross sections. A modified form of the Hugoniot relation has been obtained for Laval nozzles operating under turbulent flow conditions. The effect of turbulence on the displacement of the nozzle's critical section is examined. Using a simplified k–ε turbulence closure, the interaction between turbulent boundary layers and shock waves is analyzed, and flow invariants governing the transition through shock structures are identified. To assess the isomorphism of second-order turbulence models, comparative calculations were additionally carried out employing the k–ω model.