Summary
A theory for the gas loss in high Froude number flows is constructed on the assumption that the gas loss in ventilated supercavities is caused by entrainment of the gas into the boundary layers on the walls of the cavity which act as moving foils. The theory is in good agreement with experiments for both turbulent and laminar flow.
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References
Cox, P. N., Clayden, W. A.: Air entrainment at the rear of a steady cavity. In: Proc. Symposium, Nat. Phys. Lab., London 1955.
Epshtein, L. A.: Metody teorii razmernostey i podobiya v zadachakh gidromekhaniki sudov. Leningrad Sudostroyeniya 1970. (Translation by Department of the Navy, Translation Division: Methods of the dimensional analysis and similarity theory in problems of ship hydrodynamics, pp. 134–145.)
Logvinovich, G. V.: Hydrodynamics of free-boundary flows, pp. 129–133. (Translated from Russian, Israel Program for Scientific Translation Jerusalem, Kiev: Izdaltel'stvo Naukova Dumka, 1969.)
Semenenko, V. N.: Artificial supercavitation. Physics and calculation. In: RTO AVT/VKI Special Course “Supercavitating Flows” (Tulin, M. P., Masure, B., Van den Braembussche, R. A., eds.), February 2001.
Bürger, K.-H.: Private communication (April 2001).
Semenenko, V. N.: Dynamic processes of supercavitation and computer simulation. In: RTO AVT/VKI Special Course “Supercavitating Flows” (Tulin, M. P., Masure, B., Van den Braembussche, R. A., eds.) February 2001.
Garabedian, P. R.: Calculation of axially symetric cavities and jets. Pacific J. Math.6, 611–684 (1956).
Betz, A., Petersohn, E.: Anwendungen der Theorie freier Strahlen. Ing. Archiv.2, 190–211 (1932).
Birkhoff, G., Zarantonello, E. H.: Jets, wakes and cavities. New York: Academic Press 1957, pp. 8–9, pp. 251–257.
Sakiades, B. C.: Boundary layer on continuous solid surfaces: I. Boundary layer equations for two-dimensional and axisymmetric flow. A. I. Ch. E. Journal7, 26–28 (1961).
Sakiades, B. C.: Boundary layer on continuous solid surfaces: II. The boundary layer on a continuous flat surface. A. I. Ch. E. Journal7, 221–225 (1961).
Sakiades, B. C.: Boundary layer on continuous solid surfaces: III. The boundary layer on a continuous cylindrical surface. A. I. Ch. E. Journal7, 467–472 (1961).
Simon, V.: Private communication (1993).
Spurk, J. H.: Fluid mechanics, problems and solutions. Berlin: Springer 1997, pp. 600–601.
Spurk, J. H.: Fluid mechanics. Berlin: Springer 1997, pp. 447–448.
Schlichting, H.: Grenzschicht-Theorie. Fünfte Aufl., Karlsruhe: Verlag G. Braun 1964, pp. 618–644.
Schubauer, G. B., Tchen, C. M.: Turbulent flow. Princeton Aeronautical Paperbacks No. 9. Princeton, NJ: Princeton University Press 1961, pp. 47–84.
White, C. R.: Viscous fluid flow. New York: McGraw-Hill 1974.
Savchenko, Y. N.: Investigation of high-speed supercavitating underwater motion of bodies. In: High-speed motion in water. AGARD Report827, 20-1–20-12 (1998).
May, A.: Water entry and the cavity running behavior of missile, chapter 2: The forces acting on cavity-running missiles. NAVSEA Hydroballistic Advisory Committee Silver Spring, Maryland 1975. (NTIS US Department of Commerce.)
Birkhoff, G.: Hydrodynamics, Princeton, NJ: Princeton University Press 1960, pp. 115–116.
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Spurk, J.H. On the gas loss from ventilated supercavities. Acta Mechanica 155, 125–135 (2002). https://doi.org/10.1007/BF01176238
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DOI: https://doi.org/10.1007/BF01176238