Hostname: page-component-7479d7b7d-wxhwt Total loading time: 0 Render date: 2024-07-12T08:44:12.480Z Has data issue: false hasContentIssue false

Homogeneous wall boundary condition for oscillatory flow in slotted tunnels

Published online by Cambridge University Press:  04 July 2016

D.G. Mabey*
Affiliation:
Formerly DRA Bedford, Imperial College, London

Abstract

The aerodynamic interference between oscillating models and the walls of slotted windtunnels is controlled by the homogeneous wall boundary condition, which has hitherto been uncertain. In this report a new homogeneous boundary condition for slotted tunnels is suggested which incorporates the important effects of plenum chamber depth and slot parameter.

In particular, this new boundary condition controls the transverse resonance frequencies of the tunnel, which represent a severe form of wall interference. Hence a comparison of measured resonance frequencies with predictions based on such a boundary condition provides a good test of its correctness.

The new homogeneous boundary condition complements that obtained previously for a perforated tunnel and is essentially similar in character. The boundary condition is applicable to oscillatory flows at frequencies ranging from quasi-steady values to multiples of the first resonance frequency.

Type
Research Article
Copyright
Copyright © Royal Aeronautical Society 1997 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Mabey, D.G. and Steinle, F.W. Computer studies of hybrid slotted working sections with minimum steady interference at subsonic speeds, RAE Technical Memorandum Aero 2017, 1984.Google Scholar
2. Ashill, P.R. and Weeks, D.J. A method for determining wall-interference corrections in solid tunnels from measurements of static pressure at the walls, Paper I, Agard 335, 1982.Google Scholar
3. Garner, H.C., Moore, A.W. and Wight, K.C. The theory of interfer ence effects on dynamic measurements in slotted-wall windtunnels at subsonic speeds and comparisons with experiment, ARC R & M 3500, 1966.Google Scholar
4. Garner, H.C. Theoretical use of variable porosity in slotted tunnels for minimising wall interference on dynamic measurements, RAE Technical Report 71071, R & M 3706, 1971.Google Scholar
5. Moore, A.W. and Wight, K.C. On achieving interference-free results from dynamic tests on half models in transonic windtunnels, ARC R & M 3636, 1969.Google Scholar
6. Moore, A.W. and Wight, K.C. An experimental investigation of wind-tunnel wall conditions for interference-free dynamic measurements, NPL Aero Report 1307, ARC 31704, 1969.Google Scholar
7. Runyan, H.L., Woolston, D.S. and Rainey, A.G. Theoretical and experimental investigation of the effect of tunnel walls on the forces acting on an oscillating aerofoil in two dimensional compressible flow, NACA Report L262, 1956.Google Scholar
8. Mabey, D.G. The use of sound absorbing walls to reduce dynamic interference in windtunnels, RAE Technical Report 76157, ARC R & M 3831, 1976.Google Scholar
9. Acum, W.G. A simplified approach to the phenomenon of windtunnel resonance, ARC R & M 337, 1962.Google Scholar
10. Mabey, D.G. The resonance frequencies of ventilated windtunnels, RAE Technical Report 78038, ARC R & M 3841, 1978.Google Scholar
11. Baroer, R.L. A theory for predicting boundary impedance and resonance frequencies of slotted-wall windtunnels, including plenum effects, NASA TR 1880, 1981.Google Scholar
12. Barger, R.L. Reflection and transmission of sound by a slotted wall separating two moving fluid streams, NACA TN-4295, 1958.Google Scholar
13. Mokry, M. Prediction of resonance frequencies for ventilated wall windtunnels, Agard CP-348, Paper 15, 1983.Google Scholar
14. Baldwin, B.S., Turner, J.B. and Knechtel, E.D. Wall interference in windtunnels with slotted and porous boundaries at subsonic speeds, NACA TN-3176, 1954.Google Scholar
15. Mabey, D.G. Oscillatory flows from shock-induced separations on biconvex aerofoils of varying thickness in ventilated windtunnels, Agard CP-296, Paper ll, 1980.Google Scholar
16. Naumann, A. and Pfeiffer, H. Uber die Grenzschichtablosung am Zylinder bei hohen Geschwindigkeiten, 2nd ICAS Congress, 1960.Google Scholar
17. Chen, C.F. and Mears, N.W. Experimental and theoretical study of mean boundary conditions at perforated and longitudinally slotted windtunnel walls, AEDC TR 57-20, 1957.Google Scholar
18. Fromme, J. and Goldberg, M. Unsteady two-dimensional airloads acting on oscillating thin airfoils in subsonic ventilated windtunnels, NASACR-2967, 1978.Google Scholar
19. Przybytowski, S.M. Effects of Wall Interference on Unsteady Transonic Flows, USA Arizona University, Phd Thesis (microfiche), N84-15105, 1983.Google Scholar
20. Hersh, A.S. and Rogers, T. Fluid mechanical model of the acoustic impedance of small orifices, NASA CR-2682, 1976.Google Scholar
21. Miles, J.W. The potential theory of unsteady supersonic flow, Cambridge University Press, 1959.Google Scholar
22. Mabey, D.G. Homogeneous wall boundary condition for oscillatory flow in slotted tunnels, RAE TR85-007, 1985.Google Scholar
23. Mabey, D.G. Resonance frequencies of ventilated windtunnels (synoptic of Ref. 10), AIAA J. 1980, 18, (1), pp 78.Google Scholar