[1] Wu C.H., A general theory of three-dimensional flow in subsonic and supersonic turbomachines of axial, radial and mixed-flow types. NACA TN-2604, January 1952.
[2] Hirsch C., Warzee G., An integrated quasi-3d finite element calculation program for turbomachinery flows. Journal of Engineering for Gas Turbines and Power, 1979, 101(1): 141–148.
[3] Novak R.A., Streamline curvature computing procedures for fluid-flow problems. Journal of Engineering for Gas Turbines and Power, 1967, 89(4): 478–490.
[4] Spurr A., The prediction of 3d transonic flow in turbomachinery using a combined throughflow and blade-to-blade time marching method. International Journal of Heat and Fluid Flow, 1980, 2(4): 189–199.
[5] Sturrnayr A., Hirsch C., Shock representation by Euler throughflow models and comparison with pitch-averaged navier-stokes solutions. Deptment of Fluid Mechanics, Vrije University, Brussels, Belgium, 1999: ISABE-99-7281.
[6] Damle S.V., Dang T.Q., Reddy D.R., Throughflow method for turbomachines applicable for all flow regimes. Journal of Turbomachinery, 1997, 199(2): 256–262.
[7] Simon J.F., Léonard O., A throughflow analysis tool based on the Navier-Stokes equations. Proceedings of the 6th European Turbomachinery Conference, Lille, 2005.
[8] Bosman C., Marsh H., An improved method for calculating the flow in turbo-machines, including a consistent loss model. Journal of Mechanical Engineering Science, 1974, 16(1): 25–31.
[9] Simon J.F., Léonard O., Modeling of 3-D losses and deviations in a throughflow analysis tool. Journal of Thermal Science, 2007, 16(3): 208–214.
[10] Gallimore S.J., Spanwise mixing in multistage axial flow compressors: part ii—throughflow calculations including mixing. Journal of Turbomachinery, 1986, 108(1): 10–16.
[11] Denton J.D., The use of a distributed body force to simulate viscous effects in 3d flow calculations. Proceedings of the ASME 1986 International Gas Turbine Conference and Exhibit, Dusseldorf, West Germany, June 8–12, 1986, Volume 1: Turbomachinery, Paper No: 86-GT-144, V001T01A058.
[12] Sun S., Wang S., Chen S., Design, modification and optimization of an ultra-high-load transonic low-reaction aspirated compressor. Aerospace Science and Technology, 2020, 105: 105975.
[13] Yang C., Wu H., Yang J., Ferlauto M., Time-marching throughflow analysis of multistage axial compressors based on a novel inviscid blade force model. Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering, 2019, 233(14): 5239–5252.
[14] Wang S., Ju Y., Zhang C., Coupling analysis between through flow and hub-shroud side leakage flow of a centrifugal compressor stage. Journal of Xi’an Jiaotong University, 2017, 51: 73–77.
[15] He Y., Sun J., Song P., Wang X., Preference-inspired multi-objective throughflow-design optimization approach of axial flow compressor and its application. Proceedings of the ASME Turbo Expo 2020: Turbomachinery Technical Conference and Exposition. Volume 2D: Turbomachinery, September 21–25, 2020, Paper No: GT2020-14489, V02DT38A007.
[16] Ba W., Li X., Ren X., Gu C., Aero-thermal coupled through-flow method for cooled turbines with new cooling model. Proceedings of the Institution of Mechanical Engineers, Part A: Journal of Power and Energy, 2018, 232(3): 254–265.
[17] Han J.C., Dutta S., Ekkad S., Gas turbine heat transfer and cooling technology. 2nd ed. Florida: CRC press, 2012, pp. 159–162.
[18] Bogard D.G., Thole K.A., Gas turbine film cooling. Journal of Propulsion and Power, 2006, 22(2): 249–270.
[19] Yang C., Zhang J., Influence of multi-hole arrangement on cooling film development. Chinese Journal of Aeronautics, 2012, 25(2): 182–188.
[20] Wang Q., Li Y., Bian X., Su X., Yuan X., Large-eddy simulation of shaped hole film cooling with the influence of cross flow. Proceedings of the ASME Turbo Expo 2019: Turbomachinery Technical Conference and Exposition. Volume 5A: Heat Transfer. Phoenix, Arizona, USA. June 17–21, 2019, Paper No: GT2019-90180, V05AT12A005.
[21] Mildner F., Gallus H.E., An analysis method for multistage transonic turbines with coolant mass flow addition. Journal of Turbomachinery, 1998, 120(4): 744–752.
[22] Petrovic M.V., Wiedermann A., Through-flow analysis of air-cooled gas turbines. Journal of Turbomachinery, 2013, 135(6): 061019.
[23] Jennions I.K., Stow P., A quasi-3d turbomachinery blade design system: part i: throughflow analysis. Journal of Engineering for Gas Turbines and Power, 1985, 107(2): 301–307.
[24] Mao Y., Dang T.Q., A three-dimensional body-force model for nacelle-fan systems under inlet distortions. Aerospace Science and Technology, 2020, 106: 106085.
[25] Adamczyk J.J., Model equation for simulating flows in multistage turbomachinery. NASA TM-86869, November, 1984.
[26] Bunker R.S., A review of shaped hole turbine film-cooling technology. Journal of Heat Transfer, 2005, 127(4): 441–453.
[27] Denton J.D., Loss mechanisms in turbomachines. Proceedings of the ASME 1993 International Gas Turbine and Aeroengine Congress and Exposition, Volume 2: Combustion and Fuels; Oil and Gas Applications; Cycle Innovations; Heat Transfer; Electric Power; Industrial and Cogeneration; Ceramics; Structures and Dynamics; Controls, Diagnostics and Instrumentation; IGTI Scholar Award. Cincinnati, Ohio, USA. May 24–27, 1993. Paper No: 93-GT-435, V002T14A001.
[28] Mao Y., Dang T., Simple approach for modeling fan systems with a CFD-based throughflow method. Journal of Propulsion and Power, 2020, 36(5): 642–654.
[29] Kopper F.C., Milano R., Davis R.L., Dring R.P., Stoeffler R.C., Energy efficient engine high-pressure turbine supersonic cascade technology report. NASA CR-165567, 1981.
[30] Li Y., Zhang Y., Su X., Yuan X., Experimental and numerical investigations of shaped hole film cooling with the influence of endwall cross flow. International Journal of Heat and Mass Transfer, 2018, 120: 42–55.
[31] Chen Z.Y., Zhang Z., Li Y.F., Su X.R., Yuan X., Vortex dynamics based analysis of internal crossflow effect on film cooling performance. International Journal of Heat and Mass Transfer, 2019, 145: 118757.
[32] Zhou Y., Zhang Y., Su X.R., Yuan X., Effect of inlet rotating swirl on endwall film cooling for two representative hole arrangements. Chinese Journal of Aeronautics, 2018, 31(5): 1095–1108.
[33] Pang L., Zhao M., Luo K., Yin Y., Yue Z., Dynamic temperature prediction of electronic equipment under high altitude long endurance conditions. Chinese Journal of Aeronautics, 2018, 31(6): 1189–1197.
