[1] Denton J.D., Loss mechanisms in turbomachines. Journal of Turbomachinery, 1993, 115(4): 621.
[2] Sharma O.P., Butler T.L., Predictions of endwall losses and secondary flows in axial flow turbine cascades. Journal of Turbomachinery, 1987, 109(2): 229–236.
[3] Rose M.G., Non-axisymmetric endwall profiling in the HP NGV’s of an axial flow gas turbine. Proceedings of the ASME 1994 International Gas Turbine and Aeroengine Congress and Exposition, 1994.
DOI: 10.1115/94-GT-004.
[4] Harvey N.W., Rose M.G., Taylor M.D., Non-Axisymmetric turbine end wall design—part I: three-dimensional linear design system. Proceedings of the ASME 1999 International Gas Turbine and Aeroengine Congress and Exhibition, Indianapolis, USA, 1999. DOI: 10.1115/99-GT-337.
[5] Hartland, J.C., Gregory-Smith, D.G., Harvey, N.W., Non-axisymmetric turbine end wall design—part II: experimental validation. Proceedings of the ASME 1999 International Gas Turbine and Aeroengine Congress and Exhibition, Indianapolis, USA, 1999. DOI: 10.1115/99-GT-338.
[6] Brennan G., Harvey N.W., Rose M.G., Improving the efficiency of the trent 500-HP turbine using nonaxisymmetric end walls—part I: turbine design. Journal of Turbomachinery, 2003, 125(3): 497–504.
[7] Rose M.G., Harvey N.W., Seaman P., Improving the efficiency of the trent 500 HP turbine using non-axisymmetric end walls—part II: experimental validation. Proceedings of the ASME Turbo Expo 2001: Power for Land, Sea, and Air, New Orleans, USA, 2001. DOI: 10.1115/2001-GT-0505.
[8] Snedden G., Dunn D., Ingram G., The performance of a generic non-axisymmetric end wall in a single stage, rotating turbine at on and off-design conditions. Proceedings of the ASME Turbo Expo 2010: Power for Land, Sea, and Air, Glasgow, UK, 2010, 7: 1069–1080. DOI: 10.1115/GT2010-22006.
[9] Ingram G.L., Endwall profiling for the reduction of secondary flow in turbines. Durham University, Durham, UK, 2003.
[10] Torre D., Vázquez R., Blanco E., A new alternative for reduction in secondary flows in low pressure turbines. Journal of Turbomachinery, 2011, 133(1): 011029.
[11] Liu H., Shen X., Zhu X., The aerodynamic optimization design of turbine cascade with nonaxisymmetric endwall and experimental validations. Proceedings of the ASME Turbo Expo 2017: Turbomachinery Technical Conference and Exposition, Charlotte, USA, 2017. DOI: 10.1115/GT2017-63898.
[12] Obaida H., Rona A., Gostelow J.P., Loss reduction in a 1.5 stage axial turbine by computer-driven stator hub contouring. Journal of Turbomachinery, 2019, 141(6): 061009.
[13] Na Z., Liu B., Numerical investigation of non-axisymmetric endwalls in a high pressure axial flow turbine. Proceedings of the ASME Turbo Expo 2015: Turbine Technical Conference and Exposition, Montreal, Canada, 2015. DOI: 10.1115/GT2015-42970.
[14] Rehman A., Liu B., Numerical investigation and non-axisymmetric endwall profiling of a turbine stage. Journal of Thermal Science, 2019, 28(4): 811–825.
[15] Kiran K.N., Anish S., An investigation on the effect of pitchwise endwall design in a turbine cascade at different incidence angles. Aerospace Science and Technology, 2017, 71: 382–391.
[16] Sun H., Song L., Li J., Non-Axisymmetric turbine endwall aerodynamic optimization design: part II—turbine stage design and unsteady flow characteristics analysis. Proceedings of the ASME Turbo Expo 2014: Turbine Technical Conference and Exposition, Düsseldorf, Germany, 2014. DOI: 10.1115/GT2014-25364.
[17] Niewoehner J., Poehler T., Jeschke P., Investigation of nonaxisymmetric endwall contouring and three-dimensional airfoil design in a 1.5 stage axial turbine—part II: experimental validation. Journal of Turbomachinery, 2015, 137(8): 081010.
[18] Praisner T.J., Allen-Bradley E., Grover E.A., Application of non-axisymmetric endwall contouring to conventional and high-lift turbine airfoils. Proceedings of the ASME Turbo Expo 2007: Power for Land, Sea, and Air, Montreal, Canada, 2007. DOI: 10.1115/GT2007-27579.
[19] McIntosh J., MacPherson R., Ingram G., Profiled endwall design using genetic algorithms with different objective functions. Proceedings of the ASME 2011 Turbo Expo: Turbine Technical Conference and Exposition, British Columbia, Canada, 2011. DOI: 10.1115/GT2011-45836.
[20] Lin Z.R., Han Y., Yuan X., Investigation and application of non-axisymmetric endwall and bowed blade joint profiling. Journal of Engineering Thermophysics, 2014, 35(11): 2159–2163.
[21] Bergh J., Snedden G., Reddy D., Development of an automated non-axisymmetric endwall contour design system for the rotor of a 1-stage research turbine–part 1: system design. Proceedings of the Institution of Mechanical Engineers, Part A: Journal of Power and Energy, 2020, 234(5): 565–581.
[22] Bergh J., Snedden G., Reddy D., Development of an automated non-axisymmetric endwall contour design system for the rotor of a 1-stage research turbine–part 2 computed and experimental results. Proceedings of the Institution of Mechanical Engineers, Part A: Journal of Power and Energy, 2020, 234(8): 1084–1100.
[23] Luo J., Liu F., McBean I., Turbine blade row optimization through endwall contouring by an adjoint method. Journal of Propulsion and Power, 2015, 31(2): 505–518.
[24] Behr T., Control of rotor tip leakage and secondary flow by casing air injection in unshrouded axial turbines. ETH Zürich, Zurich, Switzerland, 2007.
[25] Tang H., Liu S., Luo H., Design optimization of profiled endwall in a high work turbine. Proceedings of the ASME Turbo Expo 2014: Turbine Technical Conference and Exposition, Düsseldorf, Germany, 2014. DOI: 10.1115/GT2014-26190.
[26] Moukalled F., Mangani L., Darwish M., The finite volume method in computational fluid dynamics. Springer International Publishing, 2016.
[27] Qi L., Zou Z.P., Liu H.X., A mechanism investigation of potential field-secondary flow interactions in turbine endwall regions. Acta Aerodynamica Sinica, 2012, 30(5): 597–605.
[28] Cui T., Wang S., Tang X., Effect of leading-edge optimization on the loss characteristics in a low-pressure turbine linear cascade. Journal of Thermal Science, 2019, 28(5): 886–904.
[29] Zhang S., MacManus D.G., Luo J., Parametric study of turbine NGV blade lean and vortex design. Chinese Journal of Aeronautics, 2016, 29(1): 104–116.
