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A Novel Viscous Throughflow Model for Compressor Analysis and Its Application

Received: 12 July 2020    Accepted: 25 August 2020    Published: 7 September 2020
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Abstract

Throughflow calculations are still an inevitable step in the aerodynamic design of compressors. The viscous throughflow model derived from Navier-Stokes equations can be more capable in predicting choked flow and capturing shock waves compared to the traditional methods. In this paper, authors further developed the inviscid model for a previously developed throughflow analysis method. To obtain the governing equations, three-dimensional Navier-Stokes equations combined with the Spalart-Allmaras turbulence model were circumferentially averaged with the assumption that the flow was circumferentially uniform. A viscous blade force and an inviscid blade force had been calculated. The Miller's correlations of deviation angle and loss were incorporated to model these forces. The governing equations are discretized by an explicit four-step Runge-Kutta scheme and solved by a time-marching finite volume method. Current model was verified through predicting the performances of a 1.5 stage fan. The agreements between the experiments and calculations are reasonably good. This throughflow model can predict quite similar flow patterns and radial profiles of some parameters compared to a CFD software, which shows the potential of this model. There are still some notable deviations between the results from throughflow analysis and that from CFD calculation. Future work is to improve the prediction of deviation angle and loss near the endwall regions.

Published in International Journal of Fluid Mechanics & Thermal Sciences (Volume 6, Issue 3)

This article belongs to the Special Issue Fluid Mechanics & Thermal Sciences in Turbomachines

DOI 10.11648/j.ijfmts.20200603.13
Page(s) 89-94
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Throughflow Model, Viscous, Compressor, Analysis, Application

References
[1] L. H. Smith Jr., “The radial-equilibrium equation of turbomachinery,” Journal of Engineering for Power, Transactions of the ASME, Vol. 88, No. 1, 1966.
[2] R. A. Novak, “Streamline curvature computing procedures for fluid-flow problems,” Journal of Engineering for Power, Transactions of the ASME, Vol. 89, No. 4, 1967.
[3] A. Spurr, “The prediction of 3D transonic flow in turbomachinery using a combined throughflow and blade-to-blade time marching method,” International Journal of Heat Fluid Flow, Vol. 2, No. 4, 1980, pp. 189–199.
[4] Dingxi Wang, “Turbomachinery aerodynamic and aeromechanic design optimization using the adjoint method,” Ph. D. thesis, University of Durham, 2008.
[5] S. Baralon, L-E. Erikson, and U. Hall, “Validation of a throughflow time-marching finite-volume solver for transonic compressors,” ASME Paper 98-GT-47.
[6] S. Baralon, L-E. Erikson, and U. Hall, “Evaluation of high-order terms in the throughflow approximation using 3D Navier-Stokes computations of a transonic compressor rotor,” ASME Paper 99-GT-74.
[7] S. Baralon, L-E. Erikson, and U. Hall, “Viscous throughflow modelling of transonic compressors using a time-marching finite-volume solver,” 13th International Symposium on Airbreathing Engines (ISABE), Chattanooga, USA, 1997.
[8] J. Simon and O. Leonard, “A throughflow analysis tool based on the Navier-Stokes equations,” Proceedings of the 6th European Turbomachinery Conference, Lille, 2005.
[9] A. Sturmayr, C. Hirsch, “Shock representation by Euler throughflow models and comparison with pitch-averaged Navier-Stokes solutions,” ISABE 99-7281.
[10] R. A. Gentry, R. E. Martin, and B. J. Daly, “An Eulerian differencing method for unsteady compressible flow problems,” Journal of Computational Physics, Vol. 1, 1966.
[11] F. F. Ning, “Numerical investigations of flows in transonic compressors with real geometrical complexities,” Ph. D. thesis, Beijing University of Aeronautics and Astronautics, 2002.
[12] C. Bosman, and H. Marsh, “An improved method for calculating the flow in turbo-machines, including a consistent loss model,” Journal of Mechanical Engineering Sciences, Vol. 16, 1974, pp. 25–31.
[13] Miller, D. C., Wasdell, D. L.. “Off-design prediction of compressor blade losses,” I. Mech. E., C279/87, 1987.
[14] Wright, P. I., Miller, D. C., “An improved compressor performance prediction model” I. Mech. E. C423/028, 1991.
[15] Dunham, J., “Compressor off-design performance prediction using an endwall model, ” ASME Paper, GT1996-62, 1996.
[16] Hailiang Jin, Donghai Jin, Xingmin Gui, “A time-marching throughflow model and its application in transonic axial compressor”, Journal of Thermal Science volume 19, pages519–525 (2010).
[17] J. R. Edwards, “A low-diffusion flux-splitting scheme for Navier-Stokes calculations,” Computers & Fluids, Vol. 26, No. 6, 1997, pp. 635-659.
[18] Jameson, A., Schimidt, W.. Turkel, E., “Numerical solutions of the euler equations by finite volume methods with Rune-Kutta time stepping schemes,” AIAA Paper, 81-1259, 1981.
Cite This Article
  • APA Style

    Hailiang Jin, Daobin Qiu, Yueqian Yin. (2020). A Novel Viscous Throughflow Model for Compressor Analysis and Its Application. International Journal of Fluid Mechanics & Thermal Sciences, 6(3), 89-94. https://doi.org/10.11648/j.ijfmts.20200603.13

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    ACS Style

    Hailiang Jin; Daobin Qiu; Yueqian Yin. A Novel Viscous Throughflow Model for Compressor Analysis and Its Application. Int. J. Fluid Mech. Therm. Sci. 2020, 6(3), 89-94. doi: 10.11648/j.ijfmts.20200603.13

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    AMA Style

    Hailiang Jin, Daobin Qiu, Yueqian Yin. A Novel Viscous Throughflow Model for Compressor Analysis and Its Application. Int J Fluid Mech Therm Sci. 2020;6(3):89-94. doi: 10.11648/j.ijfmts.20200603.13

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  • @article{10.11648/j.ijfmts.20200603.13,
      author = {Hailiang Jin and Daobin Qiu and Yueqian Yin},
      title = {A Novel Viscous Throughflow Model for Compressor Analysis and Its Application},
      journal = {International Journal of Fluid Mechanics & Thermal Sciences},
      volume = {6},
      number = {3},
      pages = {89-94},
      doi = {10.11648/j.ijfmts.20200603.13},
      url = {https://doi.org/10.11648/j.ijfmts.20200603.13},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijfmts.20200603.13},
      abstract = {Throughflow calculations are still an inevitable step in the aerodynamic design of compressors. The viscous throughflow model derived from Navier-Stokes equations can be more capable in predicting choked flow and capturing shock waves compared to the traditional methods. In this paper, authors further developed the inviscid model for a previously developed throughflow analysis method. To obtain the governing equations, three-dimensional Navier-Stokes equations combined with the Spalart-Allmaras turbulence model were circumferentially averaged with the assumption that the flow was circumferentially uniform. A viscous blade force and an inviscid blade force had been calculated. The Miller's correlations of deviation angle and loss were incorporated to model these forces. The governing equations are discretized by an explicit four-step Runge-Kutta scheme and solved by a time-marching finite volume method. Current model was verified through predicting the performances of a 1.5 stage fan. The agreements between the experiments and calculations are reasonably good. This throughflow model can predict quite similar flow patterns and radial profiles of some parameters compared to a CFD software, which shows the potential of this model. There are still some notable deviations between the results from throughflow analysis and that from CFD calculation. Future work is to improve the prediction of deviation angle and loss near the endwall regions.},
     year = {2020}
    }
    

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  • TY  - JOUR
    T1  - A Novel Viscous Throughflow Model for Compressor Analysis and Its Application
    AU  - Hailiang Jin
    AU  - Daobin Qiu
    AU  - Yueqian Yin
    Y1  - 2020/09/07
    PY  - 2020
    N1  - https://doi.org/10.11648/j.ijfmts.20200603.13
    DO  - 10.11648/j.ijfmts.20200603.13
    T2  - International Journal of Fluid Mechanics & Thermal Sciences
    JF  - International Journal of Fluid Mechanics & Thermal Sciences
    JO  - International Journal of Fluid Mechanics & Thermal Sciences
    SP  - 89
    EP  - 94
    PB  - Science Publishing Group
    SN  - 2469-8113
    UR  - https://doi.org/10.11648/j.ijfmts.20200603.13
    AB  - Throughflow calculations are still an inevitable step in the aerodynamic design of compressors. The viscous throughflow model derived from Navier-Stokes equations can be more capable in predicting choked flow and capturing shock waves compared to the traditional methods. In this paper, authors further developed the inviscid model for a previously developed throughflow analysis method. To obtain the governing equations, three-dimensional Navier-Stokes equations combined with the Spalart-Allmaras turbulence model were circumferentially averaged with the assumption that the flow was circumferentially uniform. A viscous blade force and an inviscid blade force had been calculated. The Miller's correlations of deviation angle and loss were incorporated to model these forces. The governing equations are discretized by an explicit four-step Runge-Kutta scheme and solved by a time-marching finite volume method. Current model was verified through predicting the performances of a 1.5 stage fan. The agreements between the experiments and calculations are reasonably good. This throughflow model can predict quite similar flow patterns and radial profiles of some parameters compared to a CFD software, which shows the potential of this model. There are still some notable deviations between the results from throughflow analysis and that from CFD calculation. Future work is to improve the prediction of deviation angle and loss near the endwall regions.
    VL  - 6
    IS  - 3
    ER  - 

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Author Information
  • AECC Hunan Aviation Powerplant Research Institute, Hunan Key Laboratory of Turbomachinery on Small and Medium Aero-Engine, Zhuzhou, China

  • AECC Hunan Aviation Powerplant Research Institute, Hunan Key Laboratory of Turbomachinery on Small and Medium Aero-Engine, Zhuzhou, China

  • AECC Hunan Aviation Powerplant Research Institute, Hunan Key Laboratory of Turbomachinery on Small and Medium Aero-Engine, Zhuzhou, China

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