The effect of the finite extent of linear cascades on the unsteady pressure distribution of vibrating blades is assessed by means of a numerical study. The span of a reference cascade made up of flat plates has been changed to investigate its influence on the computed influence coefficients. It is concluded that the number of passages required to match a solution obtained with a traveling-wave mode strongly depends on the interblade phase angle under consideration and that existing linear vibrating cascade facilities have a marginal resolution to accurately match CFD analysis that assume that the blade is vibrating in a traveling-wave mode.
Issue Section:
Technical Papers
1.
Bo¨lcs, A., 1983, “A Test Facility for the Investigation of the Steady and Unsteady Transonic Flows in Annular Cascades,” ASME Paper 83-GT-34.
2.
Buffum, D. H., and Fleeter, S., 1991, “Linear Oscillating Cascade Unsteady Aerodynamic Experiments,” in the 6th International Symposium on Unsteady Aerodynamics, Aeroelasticity and Aeroacoustics of Turbomachines, Ed. Atassi, September 15–19.
3.
Fransson, T. H., and Verdon, J. M., 1992, “Standard Configurations for Unsteady Flow Through Vibrating Axial-Flow Turbomachine-Cascades,” KTH Technical Report TRITA/KRV/92-009.
4.
Bell
, D. L.
, and He
, L.
, 2000
, “Three-Dimensional Unsteady Flow for an Oscilatting Turbine Blade and the Influence of the Tip-Clearance
,” ASME J. Turbomach.
, 122
(1
), Jan., pp. 93
–101
.5.
Bo¨lcs, A., Fransson, T. H., and Schlafli, D., 1989, “Aerodynamic Superposition Principle in Vibrating Turbine Cascades,” AGARD, 74th Specialists’ Meeting of the Propulsion and Energetics Panel on Unsteady Aerodynamic Phenomena in Turbomachines, Luxembourg, August 28–September 1.
6.
Chima, R. V., McFarland, E. R., Wood, J. R., and Lepicovsky, J., 2000, “On Flowfield Periodicity in the NASA Transonic Flutter Cascade, Part II-Numerical Study,” ASME Paper 2000-GT-0573.
7.
Lepicovsky, J., McFarland, E. R., Chima, R. V., and Wood, J. R., 2000, “On Flowfield Periodicity in the NASA Transonic Flutter Cascade, Part I—Experimental Study,” ASME Paper 2000-GT-0572.
8.
Ott, P., Norryd, M., and Bo¨lcs, A., 1998, “The Influence of Tailboards on Unsteady Measurements in a Linear Cascade,” ASME Paper 98-GT-0572.
9.
Hall, K. C., 1999, “Linearized Unsteady Aerodynamics,” in Aeroelasticity in Axial Flow Turbomachines VKI Lecture Series 1999-05.
10.
Jameson
, A.
, Schmidt
, W.
, and Turkel
, E.
, 1981, “Numerical Solution of the Euler Equations by Finite Volume Techniques Using Runge-Kutta Time Stepping Schemes,” AIAA Pap. No. 81–1259.11.
Roe
, P.
, 1981
, “Approximate Riemman Solvers, Parameters, Vectors and Difference Schemes
,” J. Comput. Phys.
43
, pp. 357
–372
.12.
Swanson
, R. C.
, and Turkel
, E.
, 1992
, “On Central-Difference and Upwinding Schemes
,” J. Comput. Phys.
101
, pp. 292
–306
.13.
Corral, R., Burgos, M. A., and Garcı´a, A., 2000, “Influence of the Artificial Dissipation Model on the Propagation of Acoustic and Entropy Waves,” ASME Paper 2000-GT-563.
14.
Giles
, M. B.
, 1990
, “Non-Reflecting Boundary Conditions for Euler Equation Calculations
,” AIAA J.
, 28
(12
), pp. 2050
–2057
.15.
Burgos, M. A., and Corral, R. 2001, “Application of the Phase-Laged Boundary Conditions to Rotor/Stator Interaction,” ASME Paper 2001-GT-586.
16.
Corral
, R.
, and Ferna´ndez-Castan˜eda
, J.
, 2001
, “Surface Mesh Generation by Means of Steiner Triangulations
,” AIAA J.
, 39
(1
), Jan., pp. 176
–180
.17.
Whitehead, D. S., 1987, “Classical Two-Dimensional Methods,” Chapt. 2, AGARD Manual on Aeroelasticity in Axial Flow Turbomachines: Unsteady Turbomachinery Aerodynamics, Vol. 1, eds., M. F. Platzer and F. O. Carta, AGARD-AG-298.
18.
Wood, J. R., Strasizar, T., and Hathaway, M., 1990, “Test Case E/CA-6 Subsonic Turbine Cascade T106,” Test Cases for Computation of Internal Flows in Aero Engine Components, AGARD-AR-275, July.
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