Skip to main content
Log in

Noise Mechanisms of an Axial Turbine Stage Based on Large Eddy Simulation

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

Abstract

This paper aims at identifying the noise sources in an axial turbine stage and their relative importance. The Large eddy simulation (LES) has been carried out on a geometry containing single rotor and stator passages and the mesh of the rotor domain is circumferentially sliding. The proper orthogonal decomposition (POD) is applied to data matrices constructed with the pressure fields in order to distinctly extract the coherent structures responsible for noise generation. The results show that the rotor–stator interaction contributes up to 50% of the total sound energy, the flow fluctuations are influenced by the rotor–stator interaction even in the very upstream region of the stator passage due to the massive pressure wave reflections between the stator vane row and the rotor blade row. Therefore, the tonal noise at the blade passing frequency and its second harmonic frequency are the dominant noise of the turbine stage. An aerodynamic-acoustic feedback loop is observed in the stator passage and it is mainly due to the emission, reflection and interference of the pressure waves generated by the trailing edge vortex shedding. The surface pressure levels of the rotor blade surface are lower than those of the stator vane surface, thus the rotor blades have a smaller contribution to the overall noise level of the turbine stage than the stator vanes, since there is no aerodynamic-acoustic feedback loop in the rotor passage.

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

Access this article

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

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17
Fig. 18
Fig. 19

Similar content being viewed by others

Data Availability

The data that support the findings of this study are available from the corresponding author upon reasonable request.

References

  • Arbey, H., Bataille, J.: Noise generated by airfoil profiles placed in a uniform laminar flow. J. Fluid Mech. 134, 33–47 (1983). https://doi.org/10.1017/S0022112083003201

    Article  Google Scholar 

  • Burberi, C., Ghignoni, E., Pinelli, L., Marconcini, M.: Validation of an URANS approach for direct and indirect noise assessment in a high pressure turbine stage. In: Paper Presented at the 73rd Conference of the Italian-Thermal-Machines-Engineering-Association (ATI), Pisa, Italy (2018)

  • Celik, I.B., Cehreli, Z.N., Yavuz, I.: Index of resolution quality for large eddy simulations. ASME. J. Fluids Eng. 127(5), 949–958 (2005). https://doi.org/10.1115/1.1990201

    Article  Google Scholar 

  • Chou, S.R.: A Study of Rotor Broadband Noise Mechanisms and Helicopter Tail Rotor Noise. University of Cornell, Ithaca, NY (1987)

    Google Scholar 

  • Davidson, L.: How to estimate the resolution of an LES of recirculating flow. In: Salvetti, M., Geurts, B., Meyers, J., Sagaut, P. (eds.) Quality and Reliability of Large-Eddy Simulations II. ERCOFTAC Series, vol. 16. Springer, Dordrecht (2011)

    Google Scholar 

  • Duchaine, F., Dombard, J., Gicquel, L.Y.M., Koupper, C.: On the importance of inlet boundary conditions for aerothermal predictions of turbine stages with large eddy simulation. Comput. Fluids 154, 60–73 (2017). https://doi.org/10.1016/j.compfluid.2017.05.024

    Article  Google Scholar 

  • Grigoriadis, D.G.E., Bartzis, J.G., Goulas, A.: LES of the flow past a rectangular cylinder using the immersed boundary concept. Int. J. Numer. Meth. Fluids 41, 615–632 (2003). https://doi.org/10.1002/fld.458

    Article  Google Scholar 

  • Jain, N., Bravo, L., Kim, D., Murugan, M., Ghoshal, A., Ham, F., Flatau, A.: Towards large eddy simulation of rotating turbomachinery for variable speed gas turbine engine operation. In: Proceedings of the ASME Turbo Expo 2019: Turbomachinery Technical Conference and Exposition. Volume 2B: Turbomachinery, Phoenix, Arizona, USA, V02BT40A024. ASME (2019). https://doi.org/10.1115/GT2019-91592

  • Lee, S., Kim, H.J., Runchal, A.: Large eddy simulation of unsteady flows in turbomachinery. Proc. Inst. Mech. Eng. A J. Power Energy 218(7), 463–475 (2004). https://doi.org/10.1243/0957650042457006

    Article  Google Scholar 

  • Lehmkuhl, O., Park, G., Moin, P.: LES of flow over the NASA common research model with near-wall modeling. In: Proceedings Center for Turbulence Research-Proceedings of the Summer Program, pp. 335–41. Center for Turbulence Research, Stanford, CA (2016)

  • Leonard, B.P.: A stable and accurate convective modelling procedure based on quadratic upstream interpolation. Comput. Methods Appl. Mech. Eng. 19, 59–98 (1979). https://doi.org/10.1016/0045-7825(79)90034-3

    Article  Google Scholar 

  • Lin, Y., Vadlamani, R., Savill, M., Tucker, P.: Wall-resolved large eddy simulation for aeroengine aeroacoustic investigation. Aeronaut. J. 121(1242), 1032–1050 (2017). https://doi.org/10.1017/aer.2017.54

    Article  Google Scholar 

  • McCune, J.E., Kerrebrock, J.L.: Noise from aircraft turbomachinery. Annu. Rev. Fluid Mech. 5(1), 281–300 (1973). https://doi.org/10.1146/annurev.fl.05.010173.001433

    Article  Google Scholar 

  • Meyer, R.X.: The effects of wakes on the transient pressure and velocity distributions in turbomachines. J. Basic Eng. 80(7), 1544–1552 (1958)

    Google Scholar 

  • Moser, M., Tapken, U., Enghardt, L., Neuhaus, L.: An investigation of low pressure turbine blade-vane interaction noise: measurements in a 15-stage rig. Proc. Inst. Mech. Eng. A J. Power Energy 223(6), 687–695 (2009). https://doi.org/10.1243/09576509jpe823

    Article  Google Scholar 

  • Mugridge, B.D.: Acoustic radiation from aerofoils with turbulent boundary layers. J. Sound Vib. 16(4), 593–614 (1971). https://doi.org/10.1016/0022-460X(71)90665-1

    Article  Google Scholar 

  • Naidu, A.D., Vogel, K., Fischer, M.: A comparative study of transient blade row and blade count scaling approaches for numerical forced response analysis in a transonic turbine. In: Proceedings of 12th European Conference on Turbomachinery Fluid dynamics & Thermodynamics, Stockholm, Sweden (2017). https://doi.org/10.29008/ETC2017-305

  • Papadogiannis, D., Wang, G., Moreau, S., Duchaine, F., Gicquel, L., Nicoud, F.: Assessment of the Indirect combustion noise generated in a transonic high-pressure turbine stage. ASME J. Eng. Gas Turbines Power 138(4), 041503 (2016). https://doi.org/10.1115/1.4031404

    Article  Google Scholar 

  • Papadogiannis, D., Duchaine, F., Sicot, F., Gicquel, L., Wang, G., Moreau, S.: Large eddy simulation of a high pressure turbine stage: effects of sub-grid scale modeling and mesh resolution. In: Proceedings of the ASME Turbo Expo 2014: Turbine Technical Conference and Exposition. Volume 2B: Turbomachinery. Düsseldorf, Germany, V02BT39A018. ASME (2014). https://doi.org/10.1115/GT2014-25876

  • Rai, M.M.: Navier-Stokes simulations of rotor/stator interaction using patched and overlaid grids. J. Propuls. Power 3(5), 387–396 (1987). https://doi.org/10.2514/3.23003

    Article  Google Scholar 

  • Sanjose, M., Towne, A., Jaiswal, P., Moreau, S., Lele, S., Mann, A.: Modal analysis of the laminar boundary layer instability and tonal noise of an Airfoil at Reynolds number 150,000. Int. J. Aeroacoust. 18(2–3), 317–350 (2019). https://doi.org/10.1177/1475472X18812798

    Article  Google Scholar 

  • Sengupta, T.K., Ganeriwal, G., De, S.: Analysis of central and upwind compact schemes. J. Comput. Phys. 192, 677–694 (2003). https://doi.org/10.1016/j.jcp.2003.07.015

    Article  Google Scholar 

  • Sharland, I.J.: Sources of noise in axial flow fans. J. Sound Vib. 1(3), 302–322 (1964). https://doi.org/10.1016/0022-460X(64)90068-9

    Article  Google Scholar 

  • Sirovich, L.: Turbulence and the dynamics of coherent structures. Parts I–III. Q. Appl. Math. 45(3), 561–571 (1987). https://doi.org/10.1090/qam/1987-45-03

    Article  Google Scholar 

  • Stieger, R.D.: The Effects of Wakes on Separating Boundary Layers in Low Pressure Turbines. University of Cambridge, Cambridge (2002)

    Google Scholar 

  • Tam, C.K.W.: Discrete tones of isolated airfoils. J. Acoust. Soc. Am. 55(6), 1173–1177 (1974). https://doi.org/10.1121/1.1914682

    Article  Google Scholar 

  • Temmerman, L., Leschziner, M.A., Mellen, C.P., Fröhlich, J.: Investigation of wall-function approximations and subgrid-scale models in large eddy simulation of separated flow in a channel with streamwise periodic constrictions. Int. J. Heat Fluid Flow 24(2), 157–180 (2003). https://doi.org/10.1016/S0142-727X(02)00222-9

    Article  Google Scholar 

  • Tyler, J.M., Sofrin, T.G.: Axial flow compressor noise studies. SAE Trans. 70, 309–332 (1962)

    Google Scholar 

  • Van Leer, B.: Toward the ultimate conservative difference scheme IV. A second order sequel to Godunov’s method. J. Comput. Phys. 32, 101–136 (1979). https://doi.org/10.1016/0021-9991(79)90145-1

    Article  Google Scholar 

  • Walker, G.J.: Transitional flow in axial turbomachine blading. AIAA J. 27(5), 595–602 (1989)

    Article  Google Scholar 

  • Wang, G., Moreau, S., Duchaine, F., Gourdain, N., Laurent Y. M.G.: Large eddy simulations of the MT1 high-pressure turbine using TurboAVBP. In: CFD Canada 2013, Sherbrooke, Canada (2013)

  • Werner H., Wengle, H.: Large-eddy simulation of turbulent flow over and around a cube in a plate channel. In: Eighth Symposium on Turbulent Shear Flows, Munich, Germany (1991)

Download references

Acknowledgements

This work was supported by the [National Major Science and Technology Projects of China] under Grant [J2019-I-0007-0007]; [China Scholarship Council] under Grant [CSC202306680027]; and the [Fundamental Research Funds for the Central Universities] under Grant [3072022QBZ0308].

Funding

China Scholarship Council (CSC202306680027), National Science and Technology Major Project (J2019-I-0007-0007), Fundamental Research Funds for the Central Universities (3072022QBZ0308).

Author information

Authors and Affiliations

Authors

Contributions

All authors contributed to the study conception and design. Material preparation, data collection and analysis were performed by [Lanyi Yan], [Yigang Luan] and [Daniele Simoni]. The first draft of the manuscript was written by [Lanyi Yan] and all authors commented on previous versions of the manuscript. All authors read and approved the final manuscript. Major contributors: Conceptualization: [Yigang Luan], [Lanyi Yan]; Methodology: [Lanyi Yan], [Pietro Zunino], [Franco Magagnato]; Formal analysis and investigation: [Lanyi Yan], [Yigang Luan] and[Daniele Simoni]; Writing—original draft preparation: [Lanyi Yan]; Writing—review and editing: [Tao Sun], [Lianfeng Yang]; Funding acquisition: [Yigang Luan], [Lanyi Yan]; Resources: [Yigang Luan], [Tao Sun]; Supervision: [Yigang Luan], [Pietro Zunino].

Corresponding author

Correspondence to Lianfeng Yang.

Ethics declarations

Conflict of interest

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Yan, L., Luan, Y., Simoni, D. et al. Noise Mechanisms of an Axial Turbine Stage Based on Large Eddy Simulation. Flow Turbulence Combust (2024). https://doi.org/10.1007/s10494-024-00547-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s10494-024-00547-1

Keywords

Navigation