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Two-Dimensional Flow at Right Angles to a Flexible Membrane

Published online by Cambridge University Press:  07 June 2016

B.G. Newman
Affiliation:
Department of Mechanical Engineering, McGill University, Montreal, Quebec
H.T. Low
Affiliation:
Department of Mechanical Engineering, McGill University, Montreal, Quebec
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Summary

Incompressible flow perpendicular to a flexible, impervious membrane has been studied for two-dimensional conditions. The membrane was mounted on relatively thin supports spaced c apart. Measurements of drag, base pressure and the frequency of membrane oscillation are presented for various lengths ℓ, and for two densities, of membrane. These parameters are related to one another theoretically and in particular Bearman′s universal correlation for Strouhal number agrees with the experimental results. It is found that for values of < 0.50 the drag is independent of membrane density. The drag decreases at larger values of and this is related to a periodic reattachment of the separated flow to the back of the membrane. For a given ℓ the drag is greatest when is very small and the membrane is almost flat.

Type
Research Article
Copyright
Copyright © Royal Aeronautical Society. 1981

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References

1 Taylor, G.I. On the shapes of parachutes. The scientific papers of SirTaylor, G.I., Vol. 3, pp 2637, Cambridge University Press, 1963 Google Scholar
2 Reddy, K.R. and Roberts, B.W. Oscillations of a wedge in a free stream with particular reference to parachutes. Appl. Sci. Res. 31, pp 279307, 1975 Google Scholar
3 Roberts, B.W. Aerodynamic inflation of shell type, parachute structures. Journal of Aircraft, Vol. 11, pp 390397, July 1974 Google Scholar
4 Dugan, J.P. A free streamline model of the two-dimensional sails. Journal of Fluid Mechanics, Vol. 42, pp 433440, 1970CrossRefGoogle Scholar
5 Birkhoff, G.E. and Zarantonello, E.H. Jets, wakes, and cavities, p 151, Academic Press Inc., 1957 Google Scholar
6 Parkinson, G.V. and Jandali, T. A wake source model for bluff body potential flow. Journal of Fluid Mechanics, Vol. 40, pp 577594, February 1970 Google Scholar
7 Bearman, P.W. and Fackrell, J.E. Calculation of two-dimensional and axi-symmetric bluff body potential flow. Imperial College Aeronautical Report No. 74-07, Imperial College of Science and Technology, October 1974 Google Scholar
8 Bearman, P.W. On vortex street wakes. Journal of Fluid Mechanics, Vol. 28, pp 625641, June 1967 Google Scholar
9 Lindsey, W.F. Drag of cylinders of simple shapes. NACA Report 619, 1938 Google Scholar
10 Fage, A. and Johansen, F.C. On the flow of air behind an inclined flat plate of infinite span. Proceedings of Royal Society, A116, pp 170196, London, 1927 Google Scholar
11 Wygnanski, I. and Gartshore, I.S. General description and calibration of the McGill 17 in. x 30 in. blower cascade wind tunnel, Mechanical Engineering Research Laboratory, Technical Note 63-7, McGill University, January 1963 Google Scholar
12 Maskell, E.C. A theory of the blockage effects on bluff bodies and stalled wings in a closed wind tunnel. A.R.C. R&M 3400, November 1963 Google Scholar
13 Flachsbart, O. Messungen an ebenen und gewolbten Platten. Ergebnisse der Aerodynamischen Versuchanstalt zu Gottingen, Vol. 4, pp 96100, 1932 Google Scholar
14 Fail, R., Lawford, J.A. and Eyre, R.C.W. Low speed experiments on the wake characteristics of flat plates normal to an air stream. A.R.C. R&M 3120, 1957 Google Scholar
15 Castro, I. Wake characteristics of two-dimensional perforated plates normal to an air-stream. Journal of Fluid Mechanics, Vol. 46, pp 599609, April 1971 Google Scholar
16 Roshko, A. On the drag and shedding frequency of two- dimensional bluff bodies. NACA TN 3169, 1954 Google Scholar
17 Abernathy, F.H. Flow over an inclined plate. Transactions of ASME, Journal of BASIC Engineering, Vol. 84D, pp 380388, September 1962 Google Scholar
18 Sullerey, R.K., Gupta, A.K. and Moorthy, C.S. Similarity in the turbulent near wake of bluff bodies, AIAA Journal, Vol. 13, pp 14251429, November 1975 Google Scholar
19 Simmons, J.E.L. Similarities between two-dimensional and axisymmetric vortex wakes, Aeronautical Quarterly, Vol. 28, pp 1520, February 1977 Google Scholar
20 Fackrell, J.E. Blockage effects on two-dimensional bluff body flow. Aeronautical Quarterly, Vol. 26, pp 243253, November 1975 Google Scholar
21 Bearman, P.W. and Trueman, D.M. An investigation of the flow around rectangular cylinders. Aeronautical Quarterly, Vol. 23, pp 229237, August 1972 CrossRefGoogle Scholar
22 Fairthorne, R.A. Drag of flags. A.R.C. R&M 1345, May 1930 Google Scholar