Research Papers

Optimization Strategy for a Coupled Design of the Last Stage and the Successive Diffuser in a Low Pressure Steam Turbine

[+] Author and Article Information
Christian Musch

e-mail: christian.musch@siemens.com

Heinrich Stüer

e-mail: heinrich.stueer@siemens.com
Siemens AG,
Energy Sector,
45478 Mülheim an der Ruhr, Germany

Georg Hermle

University of Kassel,
Department of Turbomachinery,
34109 Kassel, Germany
e-mail: georg.hermle@uni-kassel.de

1Corresponding author.

Contributed by the International Gas Turbine Institute (IGTI) Division of ASME for publication in the JOURNAL OF TURBOMACHINERY. Manuscript received July 25, 2011; final manuscript received August 3, 2011; published online November 6, 2012. Editor: David Wisler.

J. Turbomach 135(1), 011013 (Nov 06, 2012) (7 pages) Paper No: TURBO-11-1159; doi: 10.1115/1.4006335 History: Received July 25, 2011; Revised August 03, 2011

In this study, an effective yet numerically simple approach for a coupled design of the last stage running blade and diffuser is presented. The method applied uses a two-dimensional streamline curvature code combined with a boundary layer solver for the prediction of flow separation within the diffuser. An accurate representation of the diffuser flow is vital for the assessment of the overall performance. Thus, the major influences from the turbine stage on the diffuser flow, i.e., the tip leakage jet and the swirl of the flow, are taken into account. Secondary effects like blade wakes are neglected. The basic capability of the method to correctly represent the flow is demonstrated by a comparison with three-dimensional CFD simulations of a sample configuration. Solid correlation can be found between both cases. For the optimization process, a genetic algorithm is used. Optimization parameters include the blade exit angle and the diffuser contour. The results of the optimization are again scrutinized with the assistance of three-dimensional CFD simulations.

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McDonald, A., Fox, R., and Dewonstine, R., 1971, “Effects of Swirling Flow on Pressure Recovery in Conical Diffusers,” AIAA J., 9(10), pp. 2014–2018. [CrossRef]
Nicoll, W., and Ramaprian, B., 1970, “Performance of Conical Diffusers With Annular Injection at Inlet,” J. Basic Eng., 92, pp. 827–835. [CrossRef]
Uvarov, V., Shkurikhin, I., and Molyakov, V., 1976, “Investigation of Joint Operation of Turbine Stages and of a Radial-Annular Diffuser With a Controlled Boundary Layer,” Thermal Eng., 23(5), pp. 18–20, available at http://www.maik.ru/cgi-perl/journal.pl?lang=eng&name=teploen.
Kruse, H., Quest, J., and Scholz, N., 1983, “Experimentelle Untersuchungen von Nabendiffusoren Hinter Turbinenstufen,” Motortech. Z., 44(1), pp. 13–17, available at: http://www.springer-vieweg.de/Zeitschrift/719/MTZ-Motortechnische-Zeitschrift.html.
Zimmermann, C., and Stetter, H., 1993, “Experimental Determination of the Flow Field in the Tip Region of a LP-Steam Turbine,” Proceedings of ASME Turbo Expo, Cincinnati, OH, May 24–27, ASME Paper No. 93-GT-106.
Willinger, R., and Haselbacher, H., 1998, “The Role of Rotor Tip Clearance on the Aerodynamic Interaction of a Last Gas Turbine Stage and an Exhaust Diffuser,” Proceedings of ASME Turbo Expo, Stockholm, Sweden, June 1–4, ASME Paper No. 98-GT-094.
Kreitmeier, F., and Greim, R., 2003, “Optimization of Blade-Diffuser Interaction for Improved Turbine Performance,” J. Power Eng., 217(4), pp. 443–451. [CrossRef]
Denton, J., 1978, “Throughflow Calculations for Transonic Axial Flow Turbines,” J. Eng. Power, 100, pp. 212–218. [CrossRef]
Schetz, J., 1993, Boundary Layer Analysis, Prentice-Hall, Englewood Cliffs, NJ.
Reichardt, H., 1951, “Vollständige Darstellung der turbulenten Geschwindigkeitsverteilung in glatten Leitungen,” ZAMM31, pp. 208–219. [CrossRef]
Clauser, F., 1956, “The Turbulent Boundary Layer,” Adv. Appl. Mech., IV, pp. 1–51.
Schlichting, H., 1997, Grenzschicht-Theorie, 9th ed., Springer-Verlag, New York.
Hansen, N., and Ostermeier, A., 2001, “Completely Derandomized Self-Adaptation in Evolution Strategies,” Evol. Comput., 9(2), pp. 159–195. [CrossRef] [PubMed]
Karlsson, R., Eriksson, J., and Persson, J., 1998, “An Experimental Study of a Two-Dimensional Plane Turbulent Wall Jet,” Exp. Fluids, 25(1), pp. 50–60. [CrossRef]
Musch, C., Sievert, R., Stüer, H., and Stoff, H., 2009, “Performance Aspects of the Shroud and Cavity Design in the Last Stage of a Low Pressure Turbine,” Proceedings of the 8th European Turbomachinery Conference, Graz, Austria, March 23–27.
Polklas, T., 2004, “Entwicklung Eines Numerischen Verfahrens zur Strömungsmechanischen Auslegung des Abströmgehäuses einer Niederdruck-Dampfturbine,” Ph.D. thesis, Universität Duisburg-Essen, Duisburg, Germany.
Becker, S., Gretschel, E., and Casey, M., 2005, “Influence of a Tip Clearance Jet on a Swirling Flow in an Axial-Radial Diffuser,” Proceedings of the 6th European Turbomachinery Conference, Lille, France, March 7–11.
Stratford, B., 1958, “An Experimental Flow With Zero Skin Friction Throughout its Region of Pressure Rise,” J. Fluid Mech., 5, pp. 17–35. [CrossRef]


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Fig. 1

Wall jet acc. to Schlichting [12]

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Fig. 2

Velocity profiles of wall jet

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Fig. 3

Boundary layer profiles of wall jet

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Fig. 4

Test diffuser arrangement

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Fig. 5

Wall jet with pressure gradient

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Fig. 6

Flow domain of 3D-CFD

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Fig. 7

SLEQ versus 3D-CFD (datum design)

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Fig. 8

BL solver versus 3D-CFD (datum design)

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Fig. 9

2D-flowpath and diffuser parameters

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Fig. 10

2D-flowpath: optimized versus datum

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Fig. 11

BL solver versus 3D-CFD (optimized design)

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Fig. 12

SLEQ versus 3D-CFD (optimized design)

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Fig. 13

Pressure recovery and efficiency



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