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A numerical approach to predict the rotating stall in the vaneless diffuser of a centrifugal compressor using the eigenvalue method

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
A two-dimensional incompressible flow model is presented to study the occurrence of rotating stall in vaneless diffusers of centrifugal compressors. The diffuser considered has two parallel walls, and the undisturbed flow is assumed to be circumferentially uniform, isentropic, and to have no axial velocity. The linearized 2D Euler equations for an incompressible flow in a fixed frame of the coordinate system are considered. After discretization by a spectral collocation method based on Chebyshev-Gauss-Lobatto points, the generalized eigenvalue problem is solved through the QZ algorithm. The compressor stability is judged by the imaginary part of the eigenvalue obtained. Based on the 2D stability analysis, the influence of inflow angle, radius ratio and wave number are studied. The results from the present stability analysis are compared with some experimental measurement and Shen’s model. It is showed that diffuser instability increases rapidly and the stall rotational speed decreases quickly with an increase in the diffuser radius ratio. The largest critical inflow angle can be obtained when the wave number is around 3 ∼ 5 for the radius ratio between 1.5 to 2.2. It is also verified that the stability model proposed in this paper agrees well with experimental data and has the capability to predict the onset of rotating stall, especially for wide diffusers.
Rocznik
Strony
635--647
Opis fizyczny
Bibliogr. 23 poz., rys., tab.
Twórcy
autor
  • Co-Innovation Center for Advanced Aero-Engine, Shanghai Jiao Tong University, Shanghai, China
autor
  • Co-Innovation Center for Advanced Aero-Engine, Shanghai Jiao Tong University, Shanghai, China
autor
  • Co-Innovation Center for Advanced Aero-Engine, Shanghai Jiao Tong University, Shanghai, China
autor
  • National Laboratory of Engine Turbocharging Technology, Tianjin, China
autor
  • Co-Innovation Center for Advanced Aero-Engine, Shanghai Jiao Tong University, Shanghai, China
Bibliografia
  • 1. Abdelhamid A.N., 1980, Analysis of rotating stall in vaneless diffusers of centrifugal compressors, Canadian Aeronautics and Space Journal, 26, 118-128
  • 2. Abdelhamid A.N., 1983, Effects of vaneless diffuser geometry on flow instability in centrifugal compression systems, Canadian Aeronautics and Space Journal, 29, 259-266
  • 3. Abidogun K.B., 2002, Effects of vaneless diffuser geometries on rotating stall, Journal of Propulsion and Power, 22, 3, 542-549
  • 4. Bianchini A., Biliotti D., Belardini E., Giachi M., Tapinassi L., Vannini G., Ferrari L., Ferrara G., 2013, A systematic approach to estimate the impact of the aerodynamic force induced by rotating stall in a vaneless diffuser on the rotordynamic behavior of centrifugal compressor, Journal of Engineering for Gas Turbines and Power, 135, 11
  • 5. Canuto B.C., Hussaini M.Y., Quarteroni A., Zang T.A., 2010, Spectral Methods: Evolution to Complex Geometries and Applications to Fluid Dynamics, Springer
  • 6. Chen H., Shen F., Zhu X.C., Du Z.H., 2011, A 3D compressible flow model for weak rotating waves in vaneless diffusers. Part I: The model and Mach number effects, Journal of Turbomachinery, 134, 4, 041010
  • 7. Day I.J., 2016, Stall, surge, and 75 years of research, Journal of Turbomachinery, 138
  • 8. Everitt J.N., 2010, Investigation of stall inception in centrifugal compressors using isolated diffuser simulations, M.S. Thesis, MIT, Cambridge, MA
  • 9. Everitt J., Spakovszky Z., 2013, An investigation of stall inception in centrifugal compressor vaned diffuser, Journal of Turbomachinery, 135
  • 10. Frigne P., Braembussche R.V.D., 1985, A theoretical model for rotating stall in the vaneless diffuser of a centrifugal compressor, Journal of Engineer for Gas Turbines and Power, 107, 2. 507-513
  • 11. Jansen W., 1964, Rotating stall in a radial vaneless diffuser, ASME Journal of Basic Engineering, 86, 4, 750-758
  • 12. Kinoshita Y., Senoo Y., 1985, Rotating stall induced in vaneless diffusers of very low specific speed centrifugal blowers, Journal of Engineering for Gas Turbines and Power, 107, 514-521
  • 13. Meerbergen K., Roose D., 1997, The restarted Arnoldi method applied to iterative linear system solvers for the computation of rightmost eigenvalues, SIAM Journal on Matrix Analysis and Applications, 18, 1, 1-20
  • 14. Moler C.B., Stewart G.W., 1973, An algorithm for generalized matrix eigenvalue problems, SIAM Journal on Numerical Analysis, 10, 2, 241-256
  • 15. Moore F.K., 1989, Weak Rotating flow disturbances in a centrifugal compressor with a vaneless diffuser, Journal of Turbomachinery, 111, 442-449
  • 16. Peters G., Wilkinson J.H., 1979, Inverse iteration, Ill-conditioned equations and Newton’s method, SIAM Review, 21, 3, 339-360
  • 17. Senoo Y., Kinoshita Y., 1977, Influence of inlet flow condition and geometries of a centrifugal vaneless diffuser on critical flow angle for reverse flow, Journal of Fluids Engineering, 99, 1, 98-103
  • 18. Senoo Y., Kinoshita Y., 1978, Limits of rotating stall and stall in vaneless diffuser of centrifugal compressors, ASME Paper 78-GT-19
  • 19. Sleijpen G.L.G., Van der Vorst H.A., 1994, A Jacobi-Davidson iteration method for linear eigenvalue problems, SIAM Review, 17, 2, 267-293
  • 20. Spakovszky Z., Roduner C., 2009, Spike and modal stall inception in an advanced turbocharger centrifugal compressor, Journal of Turbomachinery, 131
  • 21. Sun X.F., Liu X.H., Sun D.K., Sun X., 2013, A theoretical model for flow instability inception in transonic fan/compressors, ASME Turbo Expo 2013: Turbine Technical Conference and Exposition
  • 22. Sun X.F., Ma Y.F., Liu X.H., Sun D.K., 2016, Flow stability model of centrifugal compressor based on eigenvalue approach, AIAA Journal
  • 23. Ubben S., Niehuis R., 2015, Experimental investigation of the diffuser vane clearance effect in a centrifugal compressor stage with adjustable diffuser geometry. Part I: Compressor performance analysis, Journal of Turbomachinery, 137
Uwagi
PL
Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017)
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-efc2d1c7-ac82-419f-a83d-b3d92b344d5c
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