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Pressure over a dual-cavity cascade at supersonic speeds

Published online by Cambridge University Press:  04 July 2016

X. Zhang
Affiliation:
Department of Aeronautics and AstronauticsUniversity of Southampton, Southampton, UK
J. A. Edwards
Affiliation:
Weapons Systems SectorDERA Fort Halstead, Sevenoaks, UK

Abstract

Pressure distributions over a dual cavity cascade were studied at supersonic speeds of Mach 1·5 and 2·5. The study was performed through numerical modelling and results compared with model measurements. The Reynolds-averaged Navier-Stokes equations were solved using a finite-volume algorithm in which the inviscid cell interface fluxes were estimated using Roe's approximate Riemann solver with a second-order extension, and turbulence was modelled using a two-equation k-m model with compressibility corrections. Two test configurations were selected: (1) a length-to-depth ratio L/D = 1 cavity followed by another L/D = 1 cavity, and (2) an L/D = 3 cavity followed by an L/D = 1 cavity. The prediction was compared with that of a single cavity of the same L/D. It was found that the pressure field around the L/D = 1 cavity was substantially modified by a preceding L/D = 3 cavity. Changes in the pressure and pressure drag coefficient were observed. The study clarified some earlier observations of unsteady modes over a dual cavity cascade, and confirmed model measurements of the pressure fluctuation under a number of flow and geometry conditions.

Type
Research Article
Copyright
Copyright © Royal Aeronautical Society 1999 

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References

1. Charwat, A.F., Roos, J.N., Dewey, F.C., and Hitz, J.A. An investigation of separated flows — part I: the pressure field, J Aero Sci, June 1961,28, pp 457470.Google Scholar
2. Plentovich, E.B., Chu, J. and Tracy, M.B. Effects of yaw angle and Reynolds number on rectangular-box cavities at subsonic and transonic speeds, NASA TP-3099, NASA, July 1991.Google Scholar
3. Plentovich, E.B., Stallings, R.L. and Tracy, M.B. Experimental cavity pressure measurements at subsonic and transonic speeds, NASA TP-3358, NASA, December 1993.Google Scholar
4. Krishnamurty, K. Acoustic radiation from two-dimensional rectangular cutouts in aerodynamic surfaces, NACA TN-3487, NACA, August 1955.Google Scholar
5. Rossiter, J.E. Wind tunnel measurements on the flow over rectangular cavities at subsonic and supersonic speeds, Ministry of Aviation, Aeronautical Research Council, London, England, R&M 3438, October 1964.Google Scholar
6. Zhang, X. and Edwards, J.A. An investigation of supersonic oscillatory cavity Hows driven by a thick shear layer, Aero J, December 1990, 94, (940), pp 355364.Google Scholar
7. Hankey, W.L. and Shang, J.S., Analysis of pressure oscillation in an open cavity, AIAA J, August 1980, 18, (8), pp 892898.Google Scholar
8. Rizzetta, D.P. Numerical simulation of supersonic flow over a three-dimensional cavity, AIAA J, July 1988, 26, (7), pp 799807.Google Scholar
9. Zhang, X. and Edwards, J.A. Computational analysis of unsteady cavity flows driven by thick shear layers, Aero J, November 1988, 92, (919), pp 365374.Google Scholar
10. Shih, S.H., Hamed, A., and Yeuan, J.J. Unsteady supersonic cavity flow simulations using coupled k-ε and Navier-Stokes equations, AAIA J, October 1994, 32, (10), pp 20152021.Google Scholar
11. Zhang, X. Compressible cavity flow oscillation due to shear layer instabilities and pressure feedback, AIAA J, August 1995, 33, (8), pp 14041411.Google Scholar
12. Zhang, X. and Edwards, J.A. Analysis of unsteady supersonic cavity flow employing an adaptive meshing algorithm, Computers and Fluids, August 1996, 25, (4), pp 373393.Google Scholar
13. Wilcox, D.C. Reassessment of the scale determining equation for advanced turbulence models, AIAA J, November 1988, 26, (11), pp 12991310.Google Scholar
14. Wilcox, D.C. Dilatation-dissipation corrections for advanced turbulence models, AIAA J, November 1992, 30, (11), pp 26392646.Google Scholar
15. Zhang, X. and Edwards, J.A. An experimental investigation of supersonic flow over two cavities in tandem, AIAA J, May 1992, 30, (5), pp 11821190.Google Scholar
16. Roe, P. Approximate Riemann solvers, parameter vectors, and difference schemes, J Comp Phys, October 1981, 43, (2), pp 357372.Google Scholar
17. Roe, P. Characteristic-based schemes for the Euler equations, Ann Rev Fluid Mech, 1986, 18, pp 337365.Google Scholar
18. Quirk, J.J. An Adaptive Grid Algorithm for Computational Shock Hydrodynamics, PhD Thesis, Cranrield Institute of Technology, January 1991.Google Scholar
19. Tam, C.K. and Block, P.J.W. On the tones and pressure oscillations induced by flow over rectangular cavities, J Fluid Mech, 1978, 89, Part 2, pp 373399.Google Scholar