Accurate theoretical calculation of the discharge coefficient for sonic nozzle using geometric parameter measurements in Re=(7.33×104–1.26×106)

Hall, 1959, Application of boundary layer theory to explain some nozzle and venturi flow peculiarities, Proc. Inst. Mech. Eng., 173, 837, 10.1243/PIME_PROC_1959_173_066_02 Hall, 1962, Transonic flow in two-dimensional and axially-symmetric nozzles, Q. J. Mech. Appl. Math., 15, 487, 10.1093/qjmam/15.4.487 Stratford, 1964, The calculation of the discharge coefficient of profiled choked nozzles and the optimum profile for absolute air flow measurement, Journal of the Royal Aeronautical Society, 68, 237, 10.1017/S0001924000060905 Kliegel, 1969, Transonic flow in small throat radius of curvature nozzles, AIAA J., 7, 1375, 10.2514/3.5355 Tang, 1969 Geropp, 1971, 71 Geropp, 1987, vol. 11 Ishibashi, 1998, Discharge coefficient of critical nozzles machined by super-accurate lathes Seidl, 1986, Primary calibration of the Boeing 18 kg/s airflow calibration transfer standard, Proceedings of International Symposium on Fluid Flow Measurement, 80 Sparkes, 1968, A standard choked nozzle for absolute calibration of air flowmeters, Aeronaut. J., 72, 335, 10.1017/S0001924000084141 Park, 2000, Characteristics of small sonic nozzles, Proceedings 1990 2005 Li, 2010, Influence of diffuser angle on discharge coefficient of sonic nozzles for flow-rate measurements, Flow Meas. Instrum., 21, 531, 10.1016/j.flowmeasinst.2010.09.003 Li, 2011, Bilateral comparison between NIM's and NIST's gas flow standards, Mapan, 26, 211, 10.1007/s12647-011-0020-7 Ishibashi, 2015, Discharge coefficient equation for critical-flow toroidal-throat venturi nozzles covering the boundary-layer transition regime, Flow Meas. Instrum., 44, 107, 10.1016/j.flowmeasinst.2014.11.009 Li, 2013 Li, 2016 Ishibashi, 2000, Theoretical discharge coefficient of a critical circular-arc nozzle with laminar boundary layer and its verification by measurements using super-accurate nozzles, Flow Meas. Instrum., 11, 305, 10.1016/S0955-5986(00)00029-7 Wang, 2018 Wang, 2019, Influence of wall roughness on boundary layer transition position of the sonic nozzles, Measurement, 139, 196, 10.1016/j.measurement.2019.01.091 Li, 2018, Throat diameter influence on the flow characteristics of a critical Venturi sonic nozzle, Flow Meas. Instrum., 60, 105, 10.1016/j.flowmeasinst.2018.02.012