Aerodynamic optimization of a transonic axial compressor with a casing groove combined with tip injection

Abstract

A multiobjective optimization to enhance the stall margin and peak adiabatic efficiency of an axial compressor with a casing groove combined with injection was performed in this work. The geometry of the casing groove was optimized using a hybrid multiobjective evolutionary algorithm coupled with a surrogate model. Reynolds-averaged Navier–Stokes equations with a k–ɛ turbulence model were discretized by finite volume approximations and solved on hexahedral grids to analyze the flow in the compressor. The stall margin and peak adiabatic efficiency were selected as objective functions with three design variables related to the geometry of the casing groove. Latin hypercube sampling was applied as a design-of-experiment technique to generate 25 design points within the design space. Response surface approximation models as the surrogate models for the objectives were constructed based on the objective function values at the design points. A fast nondominated sorting genetic algorithm for the local search coupled with the surrogate models was applied to determine the global Pareto-optimal solutions. The tradeoff between the two objectives was determined and is described with respect to the Pareto-optimal solutions. The multiobjective optimization results showed that the stall margin and peak adiabatic efficiency of the axial compressor with an optimized casing groove combined with injection were simultaneously improved compared to the compressor with a smooth casing.

Keywords

Axial compressor casing groove injection Reynolds-averaged Navier–Stokes equations stall margin adiabatic efficiency

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References

Huang X, Chen H and Fu S. CFD investigation on the circumferential grooves casing treatment of transonic compressor. In: Proceedings of the ASME turbo expo 2008, Berlin, Germany, 2008, GT2008-51107.

Houghton

Day

. Enhancing the stability of subsonic compressor using casing groove. J Turbomach 2011; 133: 1–11.

Rabe DC and Hah C. Application of casing circumferential grooves for improved stall margin in a transonic axial compressor. In: Proceedings of the ASME turbo expo 2002, Amsterdam, Netherlands, 2002, GT2002-30641.

Shabbir

Adamczyk

. J Flow mechanism for stall margin improvement due to circumferential casing grooves on axial compressors. J Turbomach 2005; 127: 708–717.

Weichert S, Day I and Freeman C. Self-regulating casing treatment for axial compressor stability enhancement. In: Proceedings of the ASME turbo expo 2011, Vancouver, Canada, 2011, GT2011-46042.

Cassina G, Beheshti BH, Kammerer A, et al. Parametric study of tip injection in axial flow compressor stage. In: Proceedings of the ASME turbo expo 2007, Montreal, Canada, 2007, GT2007-27403.

Suder

Hathaway

Thorp

. Compressor stability enhancement using discrete tip injection. J Turbomach 2001; 123: 14–23.

Beheshti

Farhanieh

Ghorbanian

. Performance enhancement in transonic axial compressors using blade tip injection coupled with casing treatment. Proc IMechE, Part A: J Power and Energy 2005; 219: 321–331.

Khaleghi

Texeria

Tousi

. Parametric study of injection angle effect on stability of axial compressor. J Propul Power 2008; 24: 1100–1107.

10.

Beheshti BH, Ghorbanian K, Farhanieh B, et al. A new design for tip injection in transonic axial compressor. In: Proceedings of the ASME turbo expo 2006, Barcelona, Spain, 2006, GT2006-90007.

11.

Deb

. Multi-objective optimization using evolutionary algorithms, 1st ed. Chichester, UK: John Wiley & Sons Inc, 2001.

12.

Kim

Choi

Husain

. Multi-objective optimization of a centrifugal compressor impeller through evolutionary algorithms. Proc IMechE, Part A: J Power and Energy 2010; 224: 711–721.

13.

Wang

Hirsch

Kang

. Multi-objective optimization of turbomachinery using improved NSGA-II and approximation model. Comput Meth Appl Mech Eng 2011; 200: 883–895.

14.

Lotfi O, Teixeira JA, Ivey PC, et al. Aerodynamic optimization of industrial fan blade cascades. In: Proceedings of the ASME turbo expo 2005, Nevada, USA, 2005, GT2005-68385.

15.

Oyama A, Liou MS and Obayashi S. Transonic axial-flow blade optimization using evolutionary algorithm and three-dimensional Navier-Stokes solver. In: 9th AIAA/ISSMO symposium and exhibit on multidisciplinary analysis and optimization, Atlanta, USA, 2002, AIAA2002-5642.

16.

Oksuz O and Akmandor IS. Axial turbine blade aerodynamic optimization using a novel multi-level genetic algorithm. In: Proceedings of the ASME turbo expo 2008, Berlin, Germany, 2008, GT2008-50519.

17.

Kim

Choi

Husain

. Multiobjective optimization of circumferential casing grooves for a transonic axial compressor. J Propul Power 2011; 27: 730–733.

18.

Goel

Vaidyanathan

Haftka

. Response surface approximation of Pareto optimal front in multi-objective optimization. Comput Meth Appl Mech Eng 2007; 196: 879–893.

19.

Arabnia M and Ghaly W. On the use of blades stagger and stacking in turbine stage optimization. In: Proceedings of the ASME turbo expo 2010, Glasgow, UK, 2010, GT2010-23399.

20.

Samad

Kim

. Surrogate based optimization techniques for aerodynamic design of turbomachinery. Int J Fluid Mach Syst 2009; 2: 179–188.

21.

Dunham J. CFD validation for propulsion system components, AGARD advisory report no. 355, Advisory Group on Aerospace Research and Development, North Atlantic Treaty Organization, 1998, ISBN 92-836-1075-X.

22.

ANSYS. ANSYS CFX-solver theory guide. Release CFX-11.0. Canonsburg, Pennsylvania: ANSYS Inc, 2006.

23.

Chen H, Huang XD and Fu S. CFD investigation on stall mechanisms and casing treatment of a transonic compressor. In: 42nd AIAA/ASME/SAE/ASEE joint propulsion conference and exhibit, Sacramento, USA, 2006, AIAA-2006-4799.

24.

Thakur

Gropp

Toonen

. Optimizing the synchronization operations in message passing interface one-sided communication. Int J High Perform Comput Appl 2005; 19: 119–128.

25.

Kim

. Parametric study on aerodynamic performance of a transonic axial compressor with a casing groove and tip injection. Appl Mech Mater 2013; 284–287: 872–877.

26.

JMP 6.0.0. The statistical discovery software. Version 6.0.0. Cary, NC, USA: SAS Institute Inc, 2005.

27.

Sacks

Welch

Mitchell

. Design and analysis of computer experiments. Stat Sci 1989; 4: 409–435.

28.

Myers

Montgomery

. Response surface methodology: process and product optimization using designed experiments, New York, USA: Wiley, 1995.

29.

Kim

. Axial-flow ventilation fan design through multi-objective optimization to enhance aerodynamic performance. ASME J Fluids Eng 2011; 133: 1–12.

30.

Chen

Yuan

. Advanced aerodynamic optimization system for turbomachinery. J Turbomach 2008; 130: 1–12.

31.

MATLAB®. The language of technical computing, Release 14. Natick, MA, USA: The Math Work Inc., 2004.

32.

Deb K and Goel T. A hybrid multi-objective evolutionary approach to engineering shape design. In: Proceedings of evolutionary multi-criterion optimization conference, Zurich, 2001, pp.385–399.

33.

Giunta AA. Aircraft multidisciplinary design optimization using design of experimental theory and response surface modeling methods. PhD Thesis, Department of Aerospace Engineering, Virginia Polytechnic Institute and State University, Blacksburg, VA, 1997.

34.

Queipo

Haftka

Shyy

. Surrogate-based analysis and optimization. Prog Aerosp Sci 2005; 41: 1–28.