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Influence of neighboring blade rows on the unsteady aerodynamic response of cascades

Publication ,  Journal Article
Hall, KC; Silkowski, PD
Published in: Journal of Turbomachinery, Transactions of the ASME
1997

In this paper, we present an analysis of the unsteady aerodynamic response of cascades due to incident gusts (the forced response problem) or blade vibration (the flutter problem) when the cascade is part of a multistage fan, compressor, or turbine. Most current unsteady aerodynamic models assume the cascade to be isolated in an infinitely long duct. This assumption, however, neglects the potentially important influence of neighboring blade rows. We present an elegant and computationally efficient method to model these neighboring blade row effects. In the present method, we model the unsteady aerodynamic response due to so-called spinning modes (pressure and vorticity waves), with each mode corresponding to a different circumferential wave number and frequency. Then, for each mode, we compute the reflection and transmission coefficients for each blade row. These coefficients can be obtained from any of the currently available unsteady linearized aerodynamic models of isolated cascades. A set of linear equations is then constructed that couples together the various spinning modes, and the linear equations are solved via LU decomposition. Numerical results are presented for both the gust response and blade vibration problems. To validate our model, we compare our results to other analytical models, and to a multistage vortex lattice model. We show that the effect of neighboring blade rows on the aerodynamic damping of vibrating cascades is significant, but nevertheless can be modeled with a small number of modes.

Duke Scholars

Published In

Journal of Turbomachinery, Transactions of the ASME

Publication Date

1997

Volume

119

Issue

1

Start / End Page

85 / 93

Related Subject Headings

  • Mechanical Engineering & Transports
  • 4012 Fluid mechanics and thermal engineering
  • 4001 Aerospace engineering
  • 0913 Mechanical Engineering
  • 0901 Aerospace Engineering
 

Citation

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Hall, K. C., & Silkowski, P. D. (1997). Influence of neighboring blade rows on the unsteady aerodynamic response of cascades. Journal of Turbomachinery, Transactions of the ASME, 119(1), 85–93.
Hall, K. C., and P. D. Silkowski. “Influence of neighboring blade rows on the unsteady aerodynamic response of cascades.” Journal of Turbomachinery, Transactions of the ASME 119, no. 1 (1997): 85–93.
Hall KC, Silkowski PD. Influence of neighboring blade rows on the unsteady aerodynamic response of cascades. Journal of Turbomachinery, Transactions of the ASME. 1997;119(1):85–93.
Hall, K. C., and P. D. Silkowski. “Influence of neighboring blade rows on the unsteady aerodynamic response of cascades.” Journal of Turbomachinery, Transactions of the ASME, vol. 119, no. 1, 1997, pp. 85–93.
Hall KC, Silkowski PD. Influence of neighboring blade rows on the unsteady aerodynamic response of cascades. Journal of Turbomachinery, Transactions of the ASME. 1997;119(1):85–93.

Published In

Journal of Turbomachinery, Transactions of the ASME

Publication Date

1997

Volume

119

Issue

1

Start / End Page

85 / 93

Related Subject Headings

  • Mechanical Engineering & Transports
  • 4012 Fluid mechanics and thermal engineering
  • 4001 Aerospace engineering
  • 0913 Mechanical Engineering
  • 0901 Aerospace Engineering