Correlations of shock Mach number attenuation in small size diameter tubes

From previous works on the shock Mach number attenuation along small size diameter tubes, two different power-law correlations in laminar and turbulent flows in shock tube are proposed in this paper for describing this attenuation and the shock wave behavior. These correlations are based on a local scaling ratio built from driven gas conditions, hydraulic diameter tube, and shock wave propagation distance. A comparison to numerical and experimental existing data is presented and discussed.