Numerical study of shock waves propagating in an elbow (effects of elbow angle)

摘要

In this paper, the shock wave propagating in an elbow and the transient flow induced by the shock were investigated numerically in order to clarify how the shock wave transmitted past the elbow is stabilized to uniformity by the effects of the elbow angle. Computations were carried out by solving the two-dimensional compressible Navier-Stokes equations using the total variation diminishing (TVD) scheme. Calculations were performed for six elbow angles between 5° to 120°, and the flow fields were numerically visualized by the contour lines of pressure, sonic lines, pressure distributions and wave diagrams. The numerical results showed that the distance for which the nonuniformity of the transmitted shock continued became longer with increasing elbow angle and the attenuation of the transmitted shock was very small.