TY - JOUR

T1 - Shock wave bifurcation in channels with a bend

AU - Kuzmin, A.

PY - 2016

Y1 - 2016

N2 - The study addresses 2D and 3D turbulent transonic flows in divergent channels with a bend, where a shock wave is formed upstream of the sonic line/surface arisen over an expansion corner of the lower wall. Solutions of the Reynolds-averaged Navier–Stokes equations are obtained with a finite-volume solver of the second-order accuracy on fine meshes. Numerical simulations reveal a considerable hysteresis in the shock wave position versus the supersonic Mach number given at the inlet. A dependence of the hysteresis on the slopes of walls and length of channel is analyzed. The bifurcation band persists when unsteady perturbations are imposed at the inlet. A physical interpretation of the shock wave instability is suggested.

AB - The study addresses 2D and 3D turbulent transonic flows in divergent channels with a bend, where a shock wave is formed upstream of the sonic line/surface arisen over an expansion corner of the lower wall. Solutions of the Reynolds-averaged Navier–Stokes equations are obtained with a finite-volume solver of the second-order accuracy on fine meshes. Numerical simulations reveal a considerable hysteresis in the shock wave position versus the supersonic Mach number given at the inlet. A dependence of the hysteresis on the slopes of walls and length of channel is analyzed. The bifurcation band persists when unsteady perturbations are imposed at the inlet. A physical interpretation of the shock wave instability is suggested.

KW - Transonic flow Shock wave Instability Hysteresis

M3 - Article

VL - 86

SP - 787

EP - 795

JO - Archive of Applied Mechanics

JF - Archive of Applied Mechanics

SN - 0939-1533

IS - 5

ER -