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A numerical modeling of the vortex-induced vibration of cascade in turbomachinery using immersed boundary method

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Based on the immersed boundary method, a fast simulation for solving unsteady, incompressible, viscous flow associated with the oscillating cascade is established on a quasi-three-dimensional coordinate system. The numerical method is applied to the simulation of the flow passing an oscillating circular cylinder which is forced to move in X direction under prescribed motions in water at rest at low Keulegan-Carpenter numbers. Then vortex-induced vibration of a cylinder with two degrees of freedom which oscillates in in-line direction and transverse direction is simulated using this method. The results are in good agreement with the previous research. Then the method is extended to the oscillating cascade simulation of making various comparisons. It is found that the IBPA (inter blade phase angle) will change as the time goes on, because of the non-uniformity of the flow in the circumferential direction, until the oscillating cascade goes to a stable situation. The reduced velocity and the number of blades are chosen to investigate the effects of them on IBPA. The results indicate that both the reduced velocity and the number of blades are the main factors which influence IBPA. It is worth noting that the coupling process is not necessary to generate any body-fitting grids, which makes it much faster in computational process for such a complicated fluid-structure interaction problem.

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References

  1. Whitehead, D. S., “The Vibration of Cascade Blades Treated by Actuator Disk Methods,” Proceedings of I. Mech. E., vol.173, 1959, pp.555–557.

    Article  Google Scholar 

  2. Yang, T. Y., Guruswamy G P, Stritz A G. “Flutter Analysis of a NACA 64A006 Airfoil in Small Disturbance Transonic Flow,” AIAA Journal of Aircraft, vol.17, 1980, pp.225–232.

    Article  Google Scholar 

  3. Yang, T. Y., Guruswamy, G. P., Stritz, A. G., “Application of Transonic Codes to Flutter Analysis of Conventional and Supercritical Airfoil,” AIAA Journal of Aircraft, vol.19, 1982, pp.211–220.

    Article  Google Scholar 

  4. Carta, F. O., “Coupled Blade-disc-shroud Flutter Instabilities in Turbojet Rotors,” ASME Journal of Engineering for Power, vol.89, 1967, pp.419–426.

    Google Scholar 

  5. Gottfried, D. A., “Simulation of fluid-structure interaction in turbomachinery,” Purdue University, West Lafayette, IN, Doctor of Philosophy thesis, 2000.5

  6. Lane, F., “System mode shapes in the flutter of compressor blade rows,” Journal of the Aeronautical Sciences, vol.23, 1956, pp.54–66.

    MATH  Google Scholar 

  7. Srinivasan, A. V., “Flutter and resonant vibration characteristics of engine blades,” Journal of Engineering for Gas Turbines and Power. Vol.119, 1997, pp.742–751.

    Article  Google Scholar 

  8. Cinnella, P., de Palma P., Pascazio G. et al. A numerical method for turbomachinery aeroelasticity,” ASME Journal of Turbomachinery, vol.126, 2004, pp.310–316.

    Article  Google Scholar 

  9. Sadeghi, M, Liu F., “Computation of mistuning effects on cascade flutter,” AIAA Journal, vol.39(1), 2001, pp.22–28.

    Article  ADS  Google Scholar 

  10. Yang, X. D, Tao, D. P, Zhou, S., “Turbomachinery aeroelasticity for a discussion of the basic assumptions,” Science in China Series A, vol.2, 1991, pp.192–199.

    Google Scholar 

  11. Peskin, C. S., “Numerical analysis of blood flow in the heart,” Journal of Computational Physics, vol.25(3), 1977, pp.220–252.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  12. Zhong, G. H., Sun, X. F., “A Simulation strategy for an oscillating cascade in the turbomachinery using immersed boundary method,” AIAA Journal of Propulsion and Power, vol.25(2), 2009, pp.312–321.

    Article  Google Scholar 

  13. Chima, R. V., “Explicit Multi-grid Algorithm for Quasi-Three-Dimensional Viscous Flows in Turbomachinery,” Journal of Propulsion and Power, vol. 3(5), 1987, pp.397–405.

    Article  Google Scholar 

  14. Goldstein, D., Handler, R., Sirovich, L., “Modeling a no-slip flow with an external force field,” Journal of Computational Physics, vol.105(2), 1993, pp.354–366.

    Article  ADS  MATH  Google Scholar 

  15. Armfield, S, Street, R., “The fractional-step method for the Navier-Stokes equations on staggered grids: the accuracy of three variations,” Journal of Computational Physics, vol.153, 1999, pp.660–665.

    Article  ADS  MATH  Google Scholar 

  16. Dutsch, H., Durst, F., Becker, S., and Lienhart, H., “Low-Reynolds-number flow around an oscillating circular cylinder at low Keulegan-Carpenter numbers,” Journal of Fluid Mechanics, vol.360, 1998. pp.249–279.

    Article  ADS  Google Scholar 

  17. Singh, S. P, Mittal, S., “Vortex-induced oscillations at low Reynolds numbers: Hysteresis and vortex-shedding modes,” Journal of Fluid and Structures, vol.20, 2005, pp.1085–1104.

    Article  ADS  Google Scholar 

  18. Zhong, G. H., Liang A., Sun, X. F, “Numerical simulations of fluid-structure interaction Using immersed boundary method,” XVIII international Symposium on Air Breathing Engines, Beijing China. ISABE 2007-1230.

  19. Piperno, S, “Explicit/implicit Fluid/structure Staggered Procedures with a Structural Predictor and Fluid Subcycling for 2D Inviscid Aeroelastic Simulations,” International Journal for Numerical Methods in Fluids, vol.25, 1997, pp.1207–1226.

    Article  MathSciNet  ADS  MATH  Google Scholar 

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Authors and Affiliations

  1. School of Jet Propulsion, Beihang University, Beijing, 100191, China

    Guotun Hu, Lin Du, Guohua Zhong & Xiaofeng Sun

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  1. Guotun Hu
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  2. Lin Du
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  3. Guohua Zhong
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  4. Xiaofeng Sun
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Hu, G., Du, L., Zhong, G. et al. A numerical modeling of the vortex-induced vibration of cascade in turbomachinery using immersed boundary method. J. Therm. Sci. 20, 229–237 (2011). https://doi.org/10.1007/s11630-011-0463-8

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  • DOI: https://doi.org/10.1007/s11630-011-0463-8

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