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Gust response analysis for cascades operating in nonuniform mean flows

Publication ,  Journal Article
Hall, KC; Verdon, JM
Published in: AIAA Journal
January 1, 1991

The unsteady aerodynamic response of a subsonic cascade subjected to entropic, vortical, and acoustic gusts is analyzed. Field equations for the first-order unsteady perturbation are obtained by linearizing the time-dependent mass, momentum, and energy conservation equations about a nonlinear, isentropic, and irrotational mean or steady flow. A splitting technique is then used to decompose the unsteady velocity into irrotational and rotational parts leading to field equations for the unsteady entropy, rotational velocity, and irrotational velocity fluctuations that are coupled only sequentially. The entropic and rotational velocity fluctuations can be described in closed form in terms of the mean-flow drift and stream functions that can be computed numerically. The irrotational unsteady velocity is described by an inhomogeneous linearized potential equation that contains a source term that depends on the rotational velocity field. This equation is solved via a finite-difference technique. Results are presented to indicate the status of the numerical solution procedure and to demonstrate the impact of blade geometry and mean blade loading on the aerodynamic response of cascades to vortical gust excitations. The analysis described herein leads to very efficient predictions of cascade unsteady aerodynamic phenomena, making it useful for turbomachinery aeroelastic and aeroacoustic design applications. © 1991 American Institute of Aeronautics and Astronautics, Inc., All rights reserved.

Duke Scholars

Published In

AIAA Journal

DOI

ISSN

0001-1452

Publication Date

January 1, 1991

Volume

29

Issue

9

Start / End Page

1463 / 1471

Related Subject Headings

  • Aerospace & Aeronautics
  • 4012 Fluid mechanics and thermal engineering
  • 4001 Aerospace engineering
  • 0913 Mechanical Engineering
  • 0905 Civil Engineering
  • 0901 Aerospace Engineering
 

Citation

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MLA
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Hall, K. C., & Verdon, J. M. (1991). Gust response analysis for cascades operating in nonuniform mean flows. AIAA Journal, 29(9), 1463–1471. https://doi.org/10.2514/3.10761
Hall, K. C., and J. M. Verdon. “Gust response analysis for cascades operating in nonuniform mean flows.” AIAA Journal 29, no. 9 (January 1, 1991): 1463–71. https://doi.org/10.2514/3.10761.
Hall KC, Verdon JM. Gust response analysis for cascades operating in nonuniform mean flows. AIAA Journal. 1991 Jan 1;29(9):1463–71.
Hall, K. C., and J. M. Verdon. “Gust response analysis for cascades operating in nonuniform mean flows.” AIAA Journal, vol. 29, no. 9, Jan. 1991, pp. 1463–71. Scopus, doi:10.2514/3.10761.
Hall KC, Verdon JM. Gust response analysis for cascades operating in nonuniform mean flows. AIAA Journal. 1991 Jan 1;29(9):1463–1471.
Journal cover image

Published In

AIAA Journal

DOI

ISSN

0001-1452

Publication Date

January 1, 1991

Volume

29

Issue

9

Start / End Page

1463 / 1471

Related Subject Headings

  • Aerospace & Aeronautics
  • 4012 Fluid mechanics and thermal engineering
  • 4001 Aerospace engineering
  • 0913 Mechanical Engineering
  • 0905 Civil Engineering
  • 0901 Aerospace Engineering