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An Experimental and Theoretical Investigation of the Structure of a Trailing Vortex Wake

Published online by Cambridge University Press:  07 June 2016

R G Sampson*
Affiliation:
Royal Military College of Science
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Summary

An improved technique for the use of a five-hole yaw probe has been used in determining velocity, vorticity and pressure distributions over a transverse plane five chords downstream of a lifting wing. A well-defined tip vortex is shown to exist, together with a vortex sheet which contains a significant proportion of the total vorticity. The vorticity distribution is compared with that predicted by the calculation of vortex sheet roll-up using a two-dimensional array of line vortices. Good agreement is obtained, and the validity of using time steps large enough to inhibit the chaotic motion found in some calculations of this type is demonstrated. The structure of the tip vortex is found to be well described by the turbulent vortex model of Hoffman and Joubert.

Type
Research Article
Copyright
Copyright © Royal Aeronautical Society. 1977

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References

1 Donaldson, C du P Bilanin, A J Vortex wakes of conventional aircraft. AGARDograph 204, May 1975 Google Scholar
2 Parkes, P C A new look at the dynamics of vortices with finite cores. Aircraft Wake Turbulence and its Detection. Edited by Olsen, J H, Goldburg, A and Rogers, M. Plenum Press, New York, 1971.Google Scholar
3 Owen, P R The decay of a turbulent trailing vortex. Aeronautical Quarterly, Vol XXI, pp 6978, February 1970.Google Scholar
4 Ham, N D Technical evaluation report on fluid dynamics specialists’ meeting on the aerodynamics of rotary wings. AGARD-AR-61, March 1973.Google Scholar
5 Ormiston, R A Comparison of several methods for predicting loads on a hypothetical helicopter rotor. AHS/NASA-Ames Specialist Meeting on Rotorcraft Dynamics, California, February 13–15, 1974. Also Journal of the American Helicopter Society, Vol 19, pp 213, October 1974.Google Scholar
6 Hoffman, E R Joubert, P N Turbulent line vortices. Journal of Fluid Mechanics, Vol 16, pp 395411, 1963.Google Scholar
7 Newman, B G Flow in a viscous trailing vortex. Aeronautical Quarterly, Vol 10, pp 149162, May 1959.Google Scholar
8 Dosanjh, D S Gasparek, E Eskinazi, S Decay of a viscous trailing vortex. Aeronautical Quarterly, Vol 13, pp 167188, May 1962.Google Scholar
9 Rorke, J B Moffitt, R C Wind tunnel simulation of full scale vortices. NASA CR-2180, March 1973.Google Scholar
10 Orloff, KL Trailing vortex wind-tunnel diagnostics with a laser velocimeter. AIAA Journal of Aircraft, Vol 11, pp 477482, August 1974.Google Scholar
11 Fage, A Simmons, L F G An investigation of the air-flow pattern in the wake of an aerofoil of finite span. Phil Trans Roy Soc A, Vol 225, pp 303330, 1925.Google Scholar
12 McCormick, B W Tangler, J L Sherrieb, H A Structure of trailing vortices. AIAA Journal of Aircraft, Vol 5, pp 260267, May-June 1968.CrossRefGoogle Scholar
13 Lanchester, F W Aerodynamics. Constable, London 1910.Google Scholar
14 Kaden, H Aufwicklung einer unstabilien Unstetigkeitsflache. Ingenieur Archiv, Vol 2, pp 140168, 1931.Google Scholar
15 Westwater, F L The rolling-up of the surface of discontinuity behind an aerofoil of finite span. ARC R & M 1692, August 1935.Google Scholar
16 Butter, D J Hancock, G J A numerical method for calculating the trailing vortex system behind a swept wing at low speed. Aeronautical Journal, Vol 75, p 564, August 1971.Google Scholar
17 Moore, D W A numerical study of the roll-up of a finite vortex sheet, Journal of Fluid Mechanics, Vol 63, pp 225235, 1974.Google Scholar
18 Govindaraju, S P Saffman, P G Flow in a turbulent trailing vortex. Physics of Fluids, Vol 14, pp 2074-80, October 1971.CrossRefGoogle Scholar
19 Ross, K D J Sampson, R G The RMCS 5 ft × 3.75 ft open jet wind tunnel. Design and calibration. Royal Military College of Science, RMCS/REPORT/1/74, March 1974.Google Scholar
20 Bryer, D W Pankhurst, R C Pressure Probe Methods for Determining Wind Speed and Flow Direction. HMSO, London, 1971.Google Scholar
21 Thompson, D H Experimental study of axial flow in wing tip vortices. AIAA Journal of Aircraft, Vol 12, pp 910911, November 1975.Google Scholar
22 Batchelor, G K Axial flow in trailing line vortices. Journal of Fluid Mechanics, Vol 20, pp 645658, 1964.Google Scholar
23 Sampson, R G CONTOURS: A FORTRAN programme to determine contour coordinates. Royal Military College of Science, Unpublished RMCS Note, November 1975.Google Scholar
24 Cook, C V The structure of the rotor blade tip vortex. AGARD Conference on the Aero-Aerodynamics of Rotary Wings, Marseilles. AGARD Conference Proceedings 111, 1973.Google Scholar