Skip to main content
SpringerLink
Log in

Large Eddy Simulation of a Controlled Diffusion Compressor Cascade

  • Published:
Flow, Turbulence and Combustion Aims and scope Submit manuscript

Abstract

In this research a Controlled Diffusion (CD) compressor cascade stator blade is simulated at a Reynolds number of ∼700,000, based on inflow velocity and chord length, using Large Eddy Simulation (LES). A wide range of flow inlet angles are computed, including conditions near the design angle, and at high negative and positive incidence. At all inlet angles the surface pressure distributions are well-predicted by the LES. Near the design angle the computed suction side boundary layer thickness agrees well with experimental data, whilst the pressure side boundary layer is poorly predicted due to the inability of LES to capture natural boundary layer transition on the present grid. A good estimation of the loss is computed near the design angle, whilst at both high positive and negative incidences the loss is less well predicted owing to discrepancies between the computed and experimental boundary layer thickness. At incidences above the design angle a laminar separation bubble forms near the leading edge of the suction surface, which undergoes a transition to turbulence. Similar behaviour is noted on the pressure surface at negative incidence. At high negative incidence contra-rotating vortex pairs are found to form around the leading edge in response to an unsteady stagnation line across the span of the blade. Such structures are not apparent in time-averaged statistical data due to their highly-transient nature.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Wu, X., Moin P.: A direct numerical simulation study on the mean velocity characteristics in turbulent pipe flow. J. Fluid Mech. 50, 27–61 (2000)

    Google Scholar 

  2. Wang, Y., Tanahashi, M., Miyauchi, T.: Coherent fine scale eddies in turbulence transition of spatially-developing mixing layer. Int. J. Heat Fluid Flow 28, 1280–1290 (2007)

    Article  Google Scholar 

  3. Wissink, J.G., Rodi, W.: Direct numerical simulation of flow and heat transfer in a turbine cascade with incoming wakes. J. Fluid Mech. 569, 209–247 (2006)

    Article  MATH  Google Scholar 

  4. Michelassi, V., Wissink, J.G., Frohlich, J., Rodi, W.: Large-Eddy simulation Of flow around low-pressure turbine blade with incoming wakes. AIAA J. 41, 2143–2156 (2003)

    Article  Google Scholar 

  5. Wu, X., Durbin, P.A.: Evidence of longitudinal vortices evolved from distorted wakes in a turbine passage. J. Fluid Mech. 446, 199–228 (2001)

    MATH  Google Scholar 

  6. Wissink, J.G., Rodi, W., Hodson, H.P.: The influence of disturbances carried by periodically incoming wakes on the separating flow around a turbine blade. Int. J. Heat Fluid Flow 27, 721–729 (2006)

    Article  Google Scholar 

  7. You, D., Mittal, R., Wang, M., Moin, P.: Computational methodology for Large-Eddy simulation of tip-clearance flows. AIAA J. 42, 271–279 (2004)

    Article  Google Scholar 

  8. You, D., Mittal, R., Moin, P., Wang, M.: Effects of tip-gap size on the tip-leakage flow in a turbomachinery cascade. Phys. Fluids 18, 105102.1–105102.14 (2004)

    Google Scholar 

  9. You, D., Wang, M., Moin, P., Mittal, R.: Large-eddy simulation analysis of mechanisms for viscous losses in a turbomachinery tip-clearance flow. J. Fluid Mech. 586, 177–204 (2007)

    Article  MATH  Google Scholar 

  10. Borello, D., Hankalic, K., Rispoli, F.: Computation of tip-leakage flow in a linear compressor cascade with a second-moment turbulence closure. Int. J. Heat Fluid Flow 28, 587–601 (2007)

    Article  Google Scholar 

  11. Matsuura, K., Kato, C.: Large Eddy Simulation of compressible transitional cascade flows. J. Fluid Sci. Tech. 2, 558–569 (2007)

    Article  Google Scholar 

  12. Zaki, T.A., Wissink, J.G., Durbin, P.A., Rodi, W.: Direct computations of boundary layers distorted by migrating wakes in a linear compressor cascade. Flow Turbulence Combust. doi:10.1007/s10494-009-9216-0 (2009)

    Google Scholar 

  13. Roberts, S.K., Yaras, M.I.: Large-Eddy Simulation of Transition in a Separation Bubble. J. Fluids Eng. 128, 232–238 (2007)

    Article  Google Scholar 

  14. Yang, Z., Voke, P.R.: Large-eddy simulation of boundary-layer separation and transition at a change of surface curvature. J. Fluid Mech. 439, 305–333 (2001)

    Article  MATH  Google Scholar 

  15. Wu, X., Jacobs, R.G., Hunt, J.C.R., Durbin, P.A.; Simulation of boundary layer transition induced by periodically passing wakes. J. Fluid Mech. 398, 109–153 (1999)

    Article  MATH  Google Scholar 

  16. Gao, S., Voke, P.R., Gough, T.: Turbulent simulation of a flat plate boundary layer and near wake. Direct and Large Eddy Simulation II. Kluwer, pp. 115–124 (1997)

  17. Sanger, N.L.: The use of optimization techniques to design controlled-diffusion compressor blading. J. Eng. Power 105, 256 (1983)

    Article  Google Scholar 

  18. McMullan, W.A., Page, G.J.: Large Eddy Simulation of a Controlled-Diffusion Cascade Blade at Varying Flow Inlet Angles. ASME GT2009-59668, ASME Turbo Expo 2009. Orlando, FL (2009)

  19. McMullan, W.A., Page, G.J.: Loss Coefficient Estimation in a Controlled Diffusion Cascade using Large Eddy Simulation. AIAA 2010-315, 49th AIAA Aerospace Science Meeting. Orlando. FL (2010)

  20. Crumpton, P.I., Moinier, P., Giles, M.G.: An Unstructured Algorithm for High Reynolds Number Flows on Highly Stretched Grids. Tenth International Conference on Numerical Methods for Laminar and Turbulent Flow (1997)

  21. Tristanto, I.H., Li, Q., Page, G.J., McGuirk, J.J.: On the Effect of Convective Flux Formation for LES of Compressible Flows using Hybrid Unstructured Meshes. AIAA Paper 2006–54940, 36TH AIAA Fluid Dynamics Conference. San Francisco, California, 5–8 June 2006 (2006)

  22. Li, Q., Page, G.J., McGuirk, J.J.: Large-eddy simulation of twin impinging jets in crossflow. Aeronaut. J. 111, 195–205 (2007)

    Google Scholar 

  23. Page, G.J., McGuirk, J.J.: Large Eddy Simulation of a complete Harrier aircraft in ground effect. Aeronaut. J. 113, 99–106 (2009)

    Google Scholar 

  24. Moinier, P.: Algorithm Developments for an Unstructured Viscous Flow Solver. PhD Thesis, University of Oxford (1998)

  25. Ciardi, M., Sagaut, P., Klein, M. Dawes, W.N.: A dynamic finite volume scheme for large-eddy simulation on unstructured grids. J. Comput. Phys. 210, 632–655 (2005)

    Article  MATH  Google Scholar 

  26. Ducros, F., Ferrand, V., Nicoud, F., Weber, C., Darracq, D., Gacheriu, C., Poinsot, T.: Large-Eddy simulation of the shock/turbulence interaction. J. Comput. Phys. 152, 517–549 (1999)

    Article  MATH  Google Scholar 

  27. Smagorinsky, J.: General circulation experiments with the primitive equations. Mon. Weather Rev. 91, 99–164 (1963)

    Article  Google Scholar 

  28. Burgess, D.A., Crumpton, P.I. Giles, M.B.: A parallel framework for unstructured grid solvers. Programming Environments for Massively Parallel Distributed Systems, pp. 97–106 (1994)

  29. Hills, N.: Achieving high parallel performance for an unstructured unsteady turbomachinery code. Aeronaut. J. 111, 185–193 (2007)

    Google Scholar 

  30. Koyuncu, Y.: Report of Tests of a Compressor Configuration of CD Blading. MS Thesis, Naval Postgraduate School. Monterey, CA (1984)

  31. Elazar, Y., Shreeve, R.P.: Viscous flow in a controlled diffusion compressor cascade with increasing incidence. J. Turbomach. 112, 256–265 (1990)

    Article  Google Scholar 

  32. Shreeve, R.P., Elazar, Y., Dreon, J.W., Baydar, A.: Wake measurements and loss evaluation in a controlled diffusion compressor cascade. J. Turbomach. 113, 591–599 (1991)

    Article  Google Scholar 

  33. Elazar, Y.: A Mapping of the Viscous Flow Behavior in a Controlled Diffusion Compressor Cascade Using Laser Doppler Velocimetry and Preliminary Evaluation of Codes for the Prediction of Stall, Ph.D. Thesis, Naval Postgraduate School. Monterey, CA (1988)

  34. Chen, W.L., Lien, D.S., Leschziner, M.A.: Computational prediction of flow around highly loaded compressor-cascade blades with non-linear eddy-viscosity models. Int. J. Heat Fluid Flow 19, 307–319 (1998)

    Article  Google Scholar 

  35. Ho, W.K., Walker, G.J., Stow, P.: Boundary Layer and Navier-Stokes Analysis of a NASA Controlled-Diffusion Compressor Blade. ASME Paper No. 90-GT-236 (1990)

  36. Sanger, N.L., Shreeve, R.P.: Comparison of calculated and experimental cascade performance for controlled-diffusion compressor stator blading. J. Turbomach. 108, 42–50 (1986)

    Article  Google Scholar 

  37. Alam, M., Sandham, N.: Direct numerical simulation of short laminar separation bubbles with turbulent reattachment. J. Fluid Mech. 403, 223–250 (2000)

    Article  MATH  Google Scholar 

  38. Hunt, J.C.R., Wray, A., Moin, P.: Eddies, Stream, and Convergence Zones in Turbulent Flows. Centre for Turbulence Research Report CTR-S88 (1988)

  39. Kiya, M., Sasaki, K.: Structure of a turbulent separation bubble. J. Fluid Mech. 137, 83–113 (1983)

    Article  Google Scholar 

  40. Poll, D.: Some observations of the transition process on the windward face of a long yawed cylinder. J. Fluid Mech. 150, 329–356 (1985)

    Article  Google Scholar 

  41. Gostelow, J.P., Mahallati, A., Carscallen, W.E., Rona, A.: Organised Streamwise Vorticity on Convex Surfaces with Particular Reference to Turbine Blades. AIAA 2010-904, 49th AIAA Aerospace Science Meeting. Orlando, FL (2010)

Download references

Author information

Author notes

  1. W. Andrew McMullan

    Present address: Dept. of Engineering, University of Leicester, University Road, Leicester, LE1 7RH, UK

Authors and Affiliations

  1. Department of Aeronautical & Automotive Engineering, Loughborough University, Loughborough, Leicestershire, LE11 3TU, UK

    W. Andrew McMullan & Gary J. Page

Authors
  1. W. Andrew McMullan
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Gary J. Page
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to W. Andrew McMullan.

Rights and permissions

Reprints and permissions

About this article

Cite this article

McMullan, W.A., Page, G.J. Large Eddy Simulation of a Controlled Diffusion Compressor Cascade. Flow Turbulence Combust 86, 207–230 (2011). https://doi.org/10.1007/s10494-010-9314-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10494-010-9314-z

Keywords

Search

Navigation