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Research Papers

Blade Tip Shape Optimization for Enhanced Turbine Aerothermal Performance

[+] Author and Article Information
C. De Maesschalck

e-mail: demaess@vki.ac.be

S. Lavagnoli

e-mail: lavagnoli@vki.ac.be

G. Paniagua

e-mail: paniagua@vki.ac.be
von Karman Institute for Fluid Dynamics,
Rhode Saint Genese B-1640, Belgium

Contributed by the International Gas Turbine Institute (IGTI) of ASME for publication in the JOURNAL OF TURBOMACHINERY. Manuscript received June 30, 2013; final manuscript received July 2, 2013; published online October 24, 2013. Editor: Ronald Bunker.

J. Turbomach 136(4), 041016 (Oct 24, 2013) (11 pages) Paper No: TURBO-13-1118; doi: 10.1115/1.4025202 History: Received June 30, 2013; Revised July 02, 2013

In high-speed, unshrouded turbines, tip leakage flows generate large aerodynamic losses and intense unsteady thermal loads over the rotor blade tip and casing. The stage-loading and rotational speeds are steadily increased to achieve higher turbine efficiency, and hence, the overtip leakage flow may exceed the transonic regime. However, conventional blade tip geometries are not designed to cope with supersonic tip flow velocities. A great potential lies in the modification and optimization of the blade tip shape as a means to control the tip leakage flow aerodynamics, limit the entropy production in the overtip gap, manage the heat-load distribution over the blade tip, and improve the turbine efficiency at high-stage loading coefficients. The present paper develops an optimization strategy to produce a set of blade tip profiles with enhanced aerothermal performance for a number of tip gap flow conditions. The tip clearance flow was numerically simulated through two-dimensional compressible Reynolds-averaged Navier–Stokes (RANS) calculations that reproduce an idealized overtip flow along streamlines. A multiobjective optimization tool, based on differential evolution combined with surrogate models (artificial neural networks), was used to obtain optimized 2D tip profiles with reduced aerodynamic losses and minimum heat transfer variations and mean levels over the blade tip and casing. Optimized tip shapes were obtained for relevant tip gap flow conditions in terms of blade thickness to tip gap height ratios (between 5 and 25) and blade pressure loads (from subsonic to supersonic tip leakage flow regimes), imposing fixed inlet conditions. We demonstrated that tip geometries that perform superior in subsonic conditions are not optimal for supersonic tip gap flows. Prime tip profiles exist, depending on the tip flow conditions. The numerical study yielded a deeper insight on the physics of tip leakage flows of unshrouded rotors with arbitrary tip shapes, providing the necessary knowledge to guide the design and optimization strategy of a full blade tip surface in a real 3D turbine environment.

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References

Harvey, N. W., 2004, “Aerothermal Implications of Shroudless and Shrouded Blades,” Turbine Blade Tip Design and Tip Clearance Treatment (Von Karman Institute for Fluid Dynamics Lecture Series), T.Arts, ed., von Karman Institute for Fluid Dynamics, Rhode-St-Genese, Belgium.
Bunker, R. S., 2001, “A Review of Turbine Blade Tip Heat Transfer in Gas Turbine Systems,” Ann. N.Y. Acad. Sci., 934, pp. 64–79. [CrossRef] [PubMed]
Newton, P. J., Lock, G. D., Krishnababu, S. K., Hodson, H. P., Dawes, W. N., Hannis, J., and Whitney, C., 2006, “Heat Transfer and Aerodynamics of Turbine Blade Tips in A Linear Cascade,” ASME J. Turbomach., 128, pp. 300–309. [CrossRef]
Moore, J., and Elward, K. M., 1993, “Shock Formation in Overexpanded Tip Leakage Flow,” ASME J. Turbomach., 115, pp. 392–399. [CrossRef]
Moore, J., Moore, J. G., Henry, G. S., and Chaudhry, U., 1989, “Flow and Heat Transfer in Turbine Tip Gaps,” ASME J. Turbomach., 111, pp. 301–309. [CrossRef]
Heyes, F. J. G., Hodson, H. P., and Dailey, G. M., 1992, “The Effect of Blade Tip Geometry on the Tip Leakage Flow in Axial Turbine Cascades,” ASME J. Turbomach., 114, pp. 643–651. [CrossRef]
Kwak, J. S., Ahn, J., Han, J., Pang Lee, C., Bunker, R. S., Boyle, R., and Gaugler, R., 2003, “Heat Transfer Coefficients on the Squealer Tip and Near-Tip Regions of a Gas Turbine Blade With Single or Double Squealer,” ASME J. Turbomach., 125, pp. 778–787. [CrossRef]
Nasir, H., Ekkad, S. V., Kontrovitz, D. M., Bunker, R. S., and Prakash, C., 2004, “Effect of Tip Gap and Squealer Geometry on Detailed Heat Transfer Measurements Over a High Pressure Turbine Rotor Blade Tip,” ASME J. Turbomach., 126, pp. 221–228. [CrossRef]
Krishnababu, S. K., Newton, P. J., Dawes, W. N., Lock, G. D., Hodson, H. P., Hannis, J., and Whitney, C., 2009, “Aerothermal Investigations of Tip Leakage Flow in Axial Flow Turbines—Part I: Effect of Tip Geometry and Tip Clearance Gap,” ASME J. Turbomach., 131, p. 011006. [CrossRef]
Key, N. L., and Arts, T., 2006, “Comparison of Turbine Tip Leakage Flow for Flat Tip and Squealer Tip Geometries at High-Speed Conditions,” ASME J. Turbomach., 128, pp. 213–220. [CrossRef]
Arts, T., Ginibre, P., Oksuz, O., Iliopoulou, V., and Key, N., 2005, “Comparison of Turbine Tip Leakage Aero Thermal Flows for Flat Tip and Squealer Tip Geometries at High-Speed Conditions—Experimental and Numerical Investigation,” 6th European Conference on Turbomachinery, Lille, France, March 7–11.
Dey, D., and Camci, C., 2001, “Aerodynamic Tip Desensitization of an Axial Turbine Rotor Using Tip Platform Extension,” ASME Paper No. GT2001-0484.
Saha, A. K., Acharya, S., Prakash, C., and Bunker, R. S., 2003, “Blade Tip Leakage Flow and Heat Transfer With Pressure Side Winglet,” ASME Paper No. GT2003-38620. [CrossRef]
Schabowski, Z., and Hodson, H., 2007, “The Reduction of Over Tip Leakage Loss in Unshrouded Axial Turbines Using Winglets and Squealers,” ASME Paper No. GT2007-27623. [CrossRef]
Harvey, N. W., and Ramsden, K., 2001, “A Computational Study of a Novel Turbine Rotor Partial Shroud,” ASME J. Turbomach., 123, pp. 534–543. [CrossRef]
Harvey, N. W., Newman, D. A., Haselbach, F., and Willer, L., 2006, “An Investigation Into a Novel Turbine Rotor Winglet: Part I—Design and Model Rig Test Results,” ASME Paper No. GT2006-90456. [CrossRef]
O’Dowd, D. O., Zhang, Q., He, L., Oldfield, M. L. G., Ligrani, P. M., Cheong, B. C. Y., and Tibbott, I., 2011, “Aerothermal Performance of a Winglet at Engine Representative Mach and Reynolds Numbers,” ASME J. Turbomach., 133, p. 041026. [CrossRef]
Zhang, Q., O’Dowd, D. O., He, L., Wheeler, A. P. S., Ligrani, P. M., and Cheong, B. C. Y., 2011, “Overtip Shock Wave Structure and Its Impact on Turbine Blade Tip Heat Transfer,” ASME J. Turbomach., 133, p. 041001. [CrossRef]
Wheeler, A. P. S., Atkins, N. R., and He, L., 2011, “Turbine Blade Tip Heat Transfer in Low Speed and High Speed Flows,” ASME J. Turbomach., 133, p. 041025. [CrossRef]
Wheeler, A. P. S., Korakianitis, T., and Banneheke, S., 2011, “Tip Leakage Losses in Subsonic and Transonic Blade-Rows,” ASME Paper No. GT2011-45798. [CrossRef]
Zhang, Q., and He, L., 2011, “Overtip Choking and Its Implications on Turbine Blade-Tip Aerodynamics Performance,” J. Propul. Power, 27(5), pp. 1008–1014. [CrossRef]
He, L., ZhangQ., Wheeler, A. P. S., and Atkins, N., 2010, “Over-Tip-Shaping for Heat Load Reduction,” UK patent application GB 1017797.0.
Shyam, V., Ameri, A., and Chen, J., 2012, “Analysis of Unsteady Tip and Endwall Heat Transfer in a Highly Loaded Transonic Turbine Stage,” ASME J. Turbomach., 134, p. 041022. [CrossRef]
Shyam, V., and Ameri, A., 2011, “Comparison of Various Supersonic Turbine Tip Designs to Minimize Aerodynamic Loss and Tip Heating,” ASME Paper No. GT2011-46390. [CrossRef]
Zhang, Q., and He, L., 2012, “Tip-Shaping for HP Turbine Blade Aero-Thermal Performance Management,” ASME Paper No. GT2012-68290. [CrossRef]
Verstraete, T., 2010, Introduction to Optimization and Multidisciplinary Design (Introduction to Optimization and Multidisciplinary Design in Aeronautics and Turbomachinery Lecture Series), T.Verstraete and J.Périaux, eds., von Karman Institute for Fluid Dynamics, Rhode-St-Genese, Belgium.
Heyes, F. J. G., and Hodson, H. P., 1993, “Measurement and Prediction of Tip Clearance Flow in Linear Turbine Cascades,” ASME J. Turbomach., 115, pp. 376–382. [CrossRef]
Lavagnoli, S., Paniagua, G., De Maesschalck, C., and Yasa, T., 2012, “Analysis of the Unsteady Overtip Casing Heat Transfer in a High Speed Turbine,” ASME Paper No. GT2012-69492. [CrossRef]
Verstraete, T., Amaral, S., Van den Braembussche, R. A., and Arts, T., 2010, “Design and Optimization of the Internal Cooling Channels of a High Pressure Turbine Blade—Part II: Optimization,” ASME J. Turbomach., 132, p. 021014. [CrossRef]
Verstraete, T., Alsalihi, Z., and Van den Braembussche, R. A., 2010, “Multidisciplinary Optimization of a Radial Compressor for Microgas Turbine Applications,” ASME J. Turbomach., 132, p. 031004. [CrossRef]
Farin, G., 1993, Curves and Surfaces for Computer Aided Geometric Design, Academic Press, San Diego.
Shapiro, A. H., 1953, The Dynamics and Thermodynamics of Compressible Fluid Flow, Wiley, New York.
Denton, J. D., 1993, “The 1993 IGTI Scholar Lecture: Loss Mechanisms in Turbomachines,” ASME J. Turbomach., 115, pp. 621–656. [CrossRef]
Bindon, J. P., 1988, “The Measurement and Formation of Tip Clearance Loss,” ASME Paper No. 88-GT-203.
Booth, T. C., 1985, Importance of Tip Clearance Flows in Turbine Design (Tip Clearance Effects in Axial Turbomachines Lecture Series), von Karman Institute for Fluid Dynamics, Rhode-St-Genese, Belgium.
Zimmerman, H., and Wolff, K. H., 1998, “Air Systems Correlations—Part 1: Labyrinth Seals,” ASME Paper No. 98-GT-206.

Figures

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Fig. 1

Visualization of the novel design methodology

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Fig. 2

Assessment of the 2D overtip flow assumption using a 3D numerical calculation

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Fig. 3

Illustration of the investigated tip gap flow regimes and corresponding application to a 3D HP turbine blade

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Fig. 4

Schematic representation of the combined evaluation and optimization routine

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Fig. 5

The parameterization of the blade tip geometry (top) and possible 2D tip shapes in the design domain (bottom)

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Fig. 6

The computational domain and detail of the tip gap

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Fig. 7

Evaluation of the performance parameters

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Fig. 8

2D objective space for the optimization of the central case and zoom into the relevant area

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Fig. 9

Mach number and turbulent viscosity contours (a), midgap Mach number evolution (b), and performance budget (c) of optimal tip profiles for the central case

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Fig. 10

Specific entropy variation versus gap mass flow relative to the flat tip geometry

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Fig. 11

Mach number contours for the flat tip geometry and for an intermediate optimum shape (a). Performance budget of optimal tip profiles for the lower left case (b).

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Fig. 12

Mach number and turbulent viscosity contours (a) and the performance budget (b) of three optimal tip profiles of the upper left case

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Fig. 13

Mach number contours (a), shroud heat transfer evolution in the tip gap (b), and the performance budget (c) for three optimal tip profiles of the upper right case

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Fig. 14

The Mach number contour (a) and the budgeting compared to the flat tip (b) for the lower right case

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Fig. 15

Aerodynamic and heat transfer parameters for each tip flow regime relative to the flat tip case

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Fig. 16

Specific entropy rise versus gap mass flow, relative to the flat tip case for large blade width (w/h = 25) at low (Mexit = 0.6) and high (Mexit = 1.4) speeds

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