Skip to main content

Modern Analysis for Complex and Nonlinear Unsteady Flows in Turbomachinery

  • Chapter
  • First Online:
A Modern Course in Aeroelasticity

Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 264))

Abstract

The field of turbomachinery is undergoing major advances in aeroelasticity and this chapter provides an overview of these new developments in the key enabling methodology of unsteady aerodynamic modeling. Also see the earlier discussions in chapters “Aeroelasticity in Turbomachines” and “Modeling of Fluid-Structure Interaction.”

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 219.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 279.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 279.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Notes

  1. 1.

    Portions of this chapter were excepted from prior papers written by the author and his students, including W. S. Clark, C.B. Lorence, P. D. Silkowski, and D. M. Voytovich. Their contributors are gratefully acknowledged.

  2. 2.

    Portions of this section originally appeared in [20] and are reprinted here with permission from ASME.

References

  1. Kielb RE, Barter JW, Thomas JP, Hall KC (2003) Blade excitation by aerodynamic instabilities a compressor blade study. ASME Paper GT-2003-38634

    Google Scholar 

  2. Ni R, Sisto F (1976) Numerical computation of nonstationary aerodynamics of flat plate cascades in compressible flow. Trans ASME J Eng Power 98:165–170

    Google Scholar 

  3. Hall KC, Crawley EF (1989) Calculation of unsteady flows in turbomachinery using the linearized Euler equations. AIAA J 27(6):777–787

    Google Scholar 

  4. Clark W (1992) Prediction of unsteady flows in turbomachinery using the linearized Euler equations on deforming grids. Masters thesis, Duke University

    Google Scholar 

  5. Holmes DG, Chuang HA (1993) 2D linearized harmonic Euler flow analysis for flutter and forced response. In: Atassi HM (ed) Unsteady aerodynamics, aeroacoustics, and aeroelasticity of turbomachines and propellers. Springer, New York

    Google Scholar 

  6. Kahl G, Klose A (1993) Time linearized euler calculations for unsteady quasi-3D cascade flows. In: Atassi HM (ed) Unsteady aerodynamics, aeroacoustics, and aeroelasticity of turbomachines and propellers. Springer, New York

    Google Scholar 

  7. Hall KC, Clark WS (1993) Linearized Euler prediction of unsteady aerodynamic loads in cascades. AIAA J 31(3):540550

    Google Scholar 

  8. Hall KC, Clark WS, Lorence CB (1994) A linearized Euler analysis of unsteady transonic flows in turbomachinery. J Turbomach 116:477488

    Google Scholar 

  9. Lorence CB (1991) An investigation of three-dimensional unsteady flows in turbomachinery using the linearized Euler equations. Masters thesis, Duke University

    Google Scholar 

  10. Hall KC, Lorence CB (1993) Calculation of three-dimensional unsteady flows in turbomachinery using the linearized harmonic Euler equations. J Turbomach 115(4):800809

    Google Scholar 

  11. Holmes D, Mitchell B, Lorence CB (1997) Three-dimensional linearized Navier-Stokes calculations for flutter and forced response. Presented at the 8th international symposium on unsteady aerodynamics, aeroacoustics, and aeroelasticity of turbomachines and propellers, Stockholm, Sweden

    Google Scholar 

  12. Clark W (1998) Investigation of unsteady viscous flows in turbomachinery using a linearized Navier-Stokes analysis. Ph.D. thesis, Duke University

    Google Scholar 

  13. ClarkWS Hall KC (2000) A time-linearized Navier-Stokes analysis of stall flutter. J Turbomach 122:467476

    Google Scholar 

  14. Lindquist DR, Giles MB (1994) On the validity of linearized Euler equations with shock capturing. AIAA J 32:4653

    Article  Google Scholar 

  15. Bolcs A, Fransson TH (1986) Aeroelasticity in turbomachines. Comparison of theoretical and experimental results. Technical Report AFOSR-TR-87-0605, Air Force Office of Scientific Research, Washington

    Google Scholar 

  16. Fransson TH, Verdon JM (1993) Panel discussion on standard configurations for unsteady flow through vibrating axial-flow turbomachine cascades. In: Atassi HM (ed) Unsteady aerodynamics, aeroacoustics, and aeroelasticity of turbomachines and propellers. Springer, New York

    Google Scholar 

  17. Huff DL, Swafford TW, Reddy TSR (1991) Euler flow predictions for an oscillating cascade using a high resolution wave-split scheme. ASME Paper 91-GT-198

    Google Scholar 

  18. Spalart P, Allmaras S (1994) A one-equation turbulence model for aerodynamics flows. La Recherche Aerospatiale 1:5–21

    Google Scholar 

  19. Smelova NV (2000) Calculation of three-dimensional unsteady multistage flows in turbomachinery. Ph.D. thesis, Duke University, Durham, NC 27708

    Google Scholar 

  20. Silkowski PD, Hall KC (1998) A coupled mode analysis of unsteady multistage flows in turbomachinery. J Turbomach 120(3):410421

    Google Scholar 

  21. Hall KC, Silkowski PD (1997) The influence of neighboring blade rows on the unsteady aerodynamic response of cascades. J Turbomach 119(1):8395

    Article  Google Scholar 

  22. Silkowski PD (1996) A coupled mode method for multistage aeroelastic and aeroacoustic analysis of turbomachinery. Ph.D. thesis, Duke University, Durham

    Google Scholar 

  23. Ekici K, Hall KC (2007) Nonlinear analysis of unsteady flows in multistage turbomachines using harmonic balance. AIAA J 45(5):1047–1057

    Article  Google Scholar 

  24. Gopinath A, Van Der Weide E, Alonso J, Jameson A, Ekici K, Hall KC (2007) Three-dimensional unsteady multi-stage turbomachinery simulations using the harmonic balance technique, In 45th AIAA aerospace sciences meeting and exhibit, January, p 892

    Google Scholar 

  25. Giles MB (1992) An approach for multi-stage calculations incorporating unsteadiness. ASME Paper 92-GT-282

    Google Scholar 

  26. Ning W, He L (1998) Computation of unsteady flows around oscillating blades using linear and non-linear harmonic Euler methods. J Turbomach 120(3):508514

    Google Scholar 

  27. He L, Ning W (1998) Efficient approach for analysis of unsteady viscous flows in turbomachines. AIAA J 36(11):20052012

    Article  Google Scholar 

  28. Vasanthakumar P, Chen T, He L (2000) Three-dimensional viscous computation of blade flutter and forced response using nonlinear harmonic approach

    Google Scholar 

  29. Chen T, Vasanthakumar P, He L (2001) Analysis of unsteady bladerow interaction using nonlinear harmonic approach. AIAA J Power Propul 17(3):651658

    Google Scholar 

  30. McMullen M, Jameson A, Alonso JJ (2001) Acceleration of convergence to period steady state in turbomachinery flows. AIAA Paper 20010152

    Google Scholar 

  31. McMullen M, Jameson A, Alonso JJ (2002) Application of a non-linear frequency domain solver to the Euler and Navier-Stokes equations. AIAA Paper 20010120

    Google Scholar 

  32. Hall KC, Thomas JP, Clark WS (2002) Computation of unsteady nonlinear flows in cascades using a harmonic balance technique. AIAA J 40(5):879886

    Google Scholar 

  33. Thomas JP, Dowell EH, Hall KC (2002) Nonlinear inviscid aerodynamic effects on transonic divergence, flutter and limit cycle oscillations. AIAA J 40(4):638646

    Google Scholar 

  34. Hall KC, Thomas JP, Ekici K, Voytovich DM (2003) Frequency domain techniques for complex and nonlinear flows in turbomachinery. AIAA paper 2003–3998

    Google Scholar 

  35. Sicot F, Puigt G, Montagnac M (2008) Block-Jacobi implicit algorithms for the time Spectral method. AIAA J 46(12):3080–3089

    Google Scholar 

  36. Woodgate MA, Badcock KJ (2009) Implicit harmonic balance solver for transonic flow with forced motions. AIAA J 47(4):893–901

    Google Scholar 

  37. Su X, Yuan X (2009) Implicit solution of time spectral method for periodic unsteady flows. Int J Numer Methods Fluids 63:860–870

    Google Scholar 

  38. Thomas JP, Custer CH, Dowell EH, Hall KC, Corre C (2013) Compact implementation strategy for a harmonic balance method within implicit flow solvers. AIAA J 51(6):1374–1381

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Kenneth Hall .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Hall, K. (2022). Modern Analysis for Complex and Nonlinear Unsteady Flows in Turbomachinery. In: Dowell, E.H. (eds) A Modern Course in Aeroelasticity. Solid Mechanics and Its Applications, vol 264. Springer, Cham. https://doi.org/10.1007/978-3-030-74236-2_13

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-74236-2_13

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-74235-5

  • Online ISBN: 978-3-030-74236-2

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics