Skip to content
BY-NC-ND 3.0 license Open Access Published by De Gruyter Open Access October 22, 2015

Designing and updating the flow part of axial and radial-axial turbines through mathematical modeling

  • Andrey Rusanov , Roman Rusanov and Piotr Lampart
From the journal Open Engineering


The paper describes an algorithm for the design of axial and radial-axial type turbines. The algorithm is based on using mathematical models of various levels of complexity – from 1D to 3D. Flow path geometry is described by means of analytical methods of profiling using a limited number of parameters. 3D turbulent flow model is realised in the program complex IPMFlow, developed based on the earlier codes FlowER and FlowER-U. Examples of developed or modernized turbines for differentpurpose power machines are presented. They are: an expansion turbine, ORC turbine and cogeneration mediumpressure turbine.


[1] Cumpsty N.A., Compressor aerodynamics, Krieger Pub. Co., Malabar, Florida, 1989 Search in Google Scholar

[2] Skibin V.A., Solonin V.I., Scientific contribution to the creation of aircraft engines. Book 2, Mechanical Engineering, Machinerybuilding, Moscow, 2000 (in Russian) Search in Google Scholar

[3] Troyanovskiy, B.M., Improvement of steam turbines flow parts, Thermal Engineering, Moscow, 1996, 1, 10–17 (in Russian) Search in Google Scholar

[4] Denton J.D., Dawes W.N., Computational fluid dynamics for turbomachinery design, Proc. Instn. Mech. Engrs 1999, 213 C, 107– 124 10.1243/0954406991522211Search in Google Scholar

[5] Gregory-Smith D.G., Crossland S.C., Prediction of turbomachinery flow physics from CFD – review of recent computations of APPACET test cases, TASK Quart., 2001, 5(4), 407–431 Search in Google Scholar

[6] Proskura G.F., Aero-gasdynamic and thermodynamic basics of gas turbines, Energoizdat, Kharkov, 1952 (in Russian) Search in Google Scholar

[7] Shubenko-Shubin L.A., Design features of the newest highpower steam turbines, Gosenergoizdat, Moscow, 1962 (in Russian) Search in Google Scholar

[8] Sokolowski G.A., Gnesin V.I., Unsteady transonic and viscous flow in turbomachinery, Naukova dumka, Kiev, 1986 (in Russian) Search in Google Scholar

[9] Gnesin V.I., Rusanov A.V., Yershov S.V., Numerical investigation of the 3D effects for turbomachine stage viscous flow, 2nd European Conf. on Turbomachinery, Fluid Dynamics and Thermodynamics (5–8 March 1997, Antwerpen, Belgium), 1997, 347–354 Search in Google Scholar

[10] Yershov S.V., Rusanov A.V., Copyright. certificate of. Complex «FlowER» for three-dimensional calculation programs of gas flows in multistage turbomachines, State Agency of Ukraine on Copyright and Related Rights, PA No 77, 19/02/96, 1996 (in Ukrainian) Search in Google Scholar

[11] Rusanov A.V., Yershov S.V.,Mathematical modeling of unsteady gasdynamic processes in the setting of turbomachines, IPMash NASU, Kharkov, 2008 (in Russian) Search in Google Scholar

[12] Rusanov A.V., Yershov S.V., Isakov B.V., Spicyn V.E., Usatenko A.A., Aerodynamic improvement of the flow part of GTD turbine on the basis of calculations of three-dimensional viscous flow. Part 2. The transition diffuser and stage of power turbine, Aerospace Engineering and Technology 2004, 8(16), 46–50 (in Russian) Search in Google Scholar

[13] Reznik S.V., Yershov S.V., Khomylev S.O., Assessment of turbine flowducts eflciency, Herald of Aeroengine Building 2013, 1, 23– 28 (in Russian) Search in Google Scholar

[14] Krzyżanowski J., Gardzilewicz A., Lampart P., Badur J., Kardaś D., On some applications of CFD in design and modernisation of impulse steam turbines (June 1–3, Frankfurt, Germany), POWER_GEN, 1999, 69–86 Search in Google Scholar

[15] Gardzilewicz A., Yershov S., Rusanov A., Lampart P., Kietliński K., Elszkowski J., Increasing the eflciency of cylindrical stages of impulse turbineswith the help of 3D flowcomputations, Proc. Int. Conf. on Modelling and Design in Fluid Flow Machinery (November 18–21, Gdańsk, Poland), 1997, 131–139 Search in Google Scholar

[16] Schehlyaev A.V., Steam turbines, Energoastomizdat, Moscow, 1993 (in Russian) Search in Google Scholar

[17] Sherstiuk A. N., Zaryankyn A.E., Radial-axial turbines of low power, Machinerybuilding, Moscow, 1976 (in Russian) Search in Google Scholar

[18] Boiko A.V., Govorushchenko Y.N., Fundamentals of the theory of optimal design of axial turbomachines flow part, High School, Kharkov, 1989 (in Russian) Search in Google Scholar

[19] Bilan A.V., Bilan V.N., Automated design of steam turbine blades, Compressor and Power Engineering 2006, 3(5), 66–68 (in Russian) Search in Google Scholar

[20] Vanderplaats G.N., Numerical optimization techniques for engineering design with applications, McGraw–Hill Book Co., New York, 1984 Search in Google Scholar

[21] Goldberg David E., Genetic Algorithms in Search, Optimization, and Machine Learning, ADDISON-WESLEY PUBLISHING COMPANY INC., Boston, MA, USA 1989 Search in Google Scholar

[22] Pierret S., Van Den Braembussche R., Turbomachinery blade design using a Navier-Stokes solver and artificial neural network, ASME J. 1990, 2(2), 326–332 10.1115/1.2841318Search in Google Scholar

[23] Pierret S., Three-dimensional blade design by means of an artificial neural network and Navier-Stokes solver, VKI Lecture Series 1999–02, Rhode-Saint-Genese, Belgium, 1999 Search in Google Scholar

[24] Demeulenaere A., Ligout A., Hirsch C., Application of multipoint optimization to the design of turbomachinery blades, ASME Pap. GT2004–53110, 2004 10.1115/GT2004-53110Search in Google Scholar

[25] Lampart P., Yershov S., Direct Constrained Computational Fluid Dynamics Based Optimization of Three-Dimensional Blading for the Exit Stage of a Large Power Steam Turbine, Transactions of the ASME, Journal of Engineering for Gas Turbines and Power 2003, 125(1), 385–390 10.1115/1.1520157Search in Google Scholar

[26] Batchelor G.K., Introduction to Fluid Dynamics, Cambridge University Press, Cambridge- New York – Melbourne – Madrid - Cape Town – Singapore - Sao Paulo, 1970 Search in Google Scholar

[27] Fletcher K., Computational Methods for Fluid Dynamics, 2nd ed., Springer-Verlag, New York, 1991 Search in Google Scholar

[28] Chmielniak T., Transonic flows, Fluid FlowMachinery Series, Ossolineum, Wrocław – Warszawa – Kraków, 1994, 16 (in Polish) Search in Google Scholar

[29] Puzyrewski R., Sawicki J., Fundamentals of fluid mechanics and hydraulics, PWN, Warszawa, 2001 (in Polish) Search in Google Scholar

[30] Wilcox D.C., Turbulence modelling for CFD, DCW Industries, La Canada, California, 1993 Search in Google Scholar

[31] Tulapurkara E.G., Turbulence models for the computation of flow past airplanes, Prog. Aerospace Sci. 1997, 33, 71–165 10.1016/S0376-0421(96)00002-4Search in Google Scholar

[32] Gatski T.B., Modelling compressibility effects on turbulence, In: New tools in turbulence modelling, Eds. Metais O., Ferziger J., Springer–Verlag, Berlin–Heidelberg, 1996, 73–104 10.1007/978-3-662-08975-0_4Search in Google Scholar

[33] Menter F.R., 1994, Two-Equation Eddy-Viscosity Turbulence Models for Engineering Applications, AIAA J., 1994, 32/8, 1598– 1605 10.2514/3.12149Search in Google Scholar

[34] Godunov S.K., Zabrodin A.V., Ivanov M.A., Kraiko A.N., Prokopov G.P., Numerical modeling of gas dynamics problems, Nauka, Moscow, 1976 (in Russian) Search in Google Scholar

[35] Harten A., Osher S., Uniformly high-order accurate nonoscillatory schemes, SIAM J. Numerical Analysis, 1987, 24(2), 279–309 10.1137/0724022Search in Google Scholar

[36] Yershov S.V., Numerical simulation of turbulent separated flows in planar arrays, Aviation Equipment, 1994, 1, 69–72 (in Russian) Search in Google Scholar

[37] IAPWS, Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use, 1995, relguide/IAPWS-95.html Search in Google Scholar

[38] Rusanov A.V., Interpolation-analytical method considering the real properties of gases and liquids, East European Journal of advanced technology 2013, 3, 53–57 (in Russian). Search in Google Scholar

[39] Lampart P., Yershov S., Rusanov A., Validation of turbomachinery flow solver on turbomachinery test cases, Cieplne Maszyny Przepływowe - Turbomachinery, 2002, 122, 63–70 Search in Google Scholar

[40] Khomylev S.A., Resnick S.B., Yershov S.V., Numerical study of flow turbine airfoil cascades: Part 1 - verification of the calculation method, Energy and Thermal Engineering Processes and Equipment 2008, 6, 23–31 (in Russian) Search in Google Scholar

[41] Rusanov A.V., Pashchenko N.V., Kasyanova A.I., Method of analytical profiling blade rows of axial turbines flow parts, East European Journal of Advanced Technology 2009, 2, 32–37 (in Russian) Search in Google Scholar

[42] Rusanov A.V., Using modern computer technology to create high-performance flow parts radial-axial type, Compressor and Power Engineering 2013, 2, 4–9 (in Russian) Search in Google Scholar

[43] Rusanov A.V., Moiseev S.V., Suchorebry P.N, Kasyanova A.I., Rusanov R.A., Method of designing high-performance turboexpander units flow parts, Aerospace and Technology 2012, 8, 67–72 (in Russian) Search in Google Scholar

[44] Rusanov A.V., Lampart P., Rusanov R.A., Bykuc S., Elaboration of the flow system for a cogeneration ORC turbine, Proc 12th Conf. on Power System Engineering ES 2013, Thermodynamics&Fluid Flow (13–14 June, Plzen, Czech Republic), 2013 (on CD) Search in Google Scholar

Received: 2015-2-20
Accepted: 2015-10-21
Published Online: 2015-10-22

©2015 A. Rusanov et al.

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Downloaded on 22.2.2024 from
Scroll to top button