Shock Wave Attenuation in Milli- or Microtubes for Laminar and Turbulent Flow Regime

摘要

From numerical and experimental results given the variation of Mach number attenuation along small diameter tubes (micrometric or millimetric dimension) for laminar and turbulent flow regime, two correlations are proposed. The transition between these two-flow regimes in a shock tube is quantified through the value of P_lD_K where P_l is the driven gas pressure and D_H the hydraulic diameter of the tube. These correlations are built from a power law of the local scaling ratio S_(cx). The exponent of this law depends on the flow regime and is equal to -1/2 or -1/7 for, respectively, laminar or turbulent flow regime. By comparison with the power law of the skin-fraction C_f over a flat plate, this confirms the main role of the viscous effects in the shock wave decrease along a tube. The attenuation parameter Ca is the function of the propagation distance and increase from zero at the beginning process to a plateau value, respectively, equal to 0.5 or 0.6 for laminar or turbulent flow regime. In order to validate completely these correlations, more experimental data of shock wave propagation are needed in small diameter tubes.