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Cavities at atmospheric pressure behind two-dimensional bodies at an angle of attack

Published online by Cambridge University Press:  17 February 2009

P. M. Haese
P. M. Haese
Affiliation:
School of Applied Mathematics, The University of Adelaide, Adelaide SA 5005, Australia; e-mail: [email protected].
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Abstract

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This paper presents an interior source method for the calculation of semi-infinite cavities behind two-dimensional bluff bodies placed at an angle of attack in a uniform stream. Aspects under consideration include the pressure distribution along the body, especially just ahead of the separation point, lift and drag forces, and how these quantities vary with the angle of attack. We include discussion of the physical conditions of separation, and identify critical angles of attack for which the cavitating flow past an airfoil may (a) become unstable, or (b) yield the greatest lift to drag ratio.

Type
Research Article
Information
The ANZIAM Journal , Volume 47 , Issue 1 , July 2005 , pp. 103 - 119
Copyright
Copyright © Australian Mathematical Society 2005

References

[1]Batchelor, G. I., An introduction to fluid dynamics (Cambridge University Press, London, 1967).Google Scholar
[2]Beck, R. F., Cao, Y. and Lee, T.-H., “Fully nonlinear water wave computations using the desingularized method”, in 6th International Conference on Numerical Ship Hydrodynamics, Iowa, (1993).Google Scholar
[3]Cao, Y., Schultz, W. W. and Beck, R. F., “Three-dimensional desingularized boundary integral methods for potential problems”, Internat. J. Numer. Methods Fluids 12 (1991) 785–803.CrossRefGoogle Scholar
[4]Chou, Y. S., “Axisymmetric cavity flows past slender bodies of revolution”, J. Hydronautics 8 (1974) 13–18.CrossRefGoogle Scholar
[5]Cumberbatch, E. and Wu, T. Y., “Cavity flow past a slender pointed hydrofoil”, J. Fluid Mech. 11 (1961) 187–208.CrossRefGoogle Scholar
[6]Geurst, J. A. and Timman, R., “Linearized theory of two-dimensional cavitational flow around a wing section”, in IX International Congress of Applied Mathematics, (1956).Google Scholar
[7]Gilbarg, D., “Jets and cavities”, in Handbuch der Physik (ed. S. Flügge), (Springer, Berlin, 1960) 9.Google Scholar
[8]Grigoryan, S. S., “An approximate solution of the problem of separated flow past an axially symmetric body”, Prikl. Mat. Meh. 23 (1959) 951–953 (Russian); translated as J. Appl. Math. Mech. 23 (1959) 1351–1355.Google Scholar
[9]Gurevich, M. I., Theory of jets in ideal fluids (Academic Press, New York, 1965).Google Scholar
[10]Haese, P. M., “Linearised cavity theory with smooth detachment”, Aust. Math. Soc. Gaz. 28.4 (10 2001) 187–193.Google Scholar
[11]Kaplan, C., “On a new method for calculating the potential flow past a body of revolution”, NACA Technical Report 752, 1943.Google Scholar
[12]Kinnas, S. A. and Fine, N. E., “A numerical nonlinear analysis of the flow around two- and three-dimensional partially cavitating hydrofoils”, J. Fluid Mech. 254 (1993) 151–181.CrossRefGoogle Scholar
[13]Kirschner, I. N., Numerical modelling of supercaviating flows (von Karman Institute for Fluid Dynamics, Belgium, 2001).Google Scholar
[14]Nesteruk, I., “Influence of the flow unsteadiness, compressibility and capillarity on long axisymmetric cavities”, in Fifth International Symposium on Cavitation (Osaka,Japan,November 2003), (2005).Google Scholar
[15]Semenenko, V. N. and Semenenko, T. N., “Prediction of the unsteady cavities in cascades”, in Fifth International Symposim on Cavitation (Osaka,Japan,November 2003), (2005).Google Scholar
[16]Streeter, V. L., Handbook of fluid dynamics (McGraw Hill, New York, 1961).Google Scholar
[17]Tulin, M. P., “Supercavitating flow past foils and struts”, in Proceedings of the NPL Symposium on Cavitation in Hydrodynamics, (1955).Google Scholar
[18]Tulin, M. P., “Steady two-dimensional cavity flows about slender bodies”, David Taylor Model Basin Report 834, May 1953.Google Scholar
[19]Tulin, M. P. and Birkart, P., “Linearized theory for flows about lifting foils at zero cavitation number”, David Taylor Model Basin Report C-638, Feb 1955.CrossRefGoogle Scholar
[20]Yakimov, J., “About axisymmetric detached flow around a body of rotation at small cavitation number”, J. Appl. Math. Mech. 32 (1968) 3, (Russian).Google Scholar