Abstract
First order methods conformably to entry of thin foils in incompressible fluids are considered. Two of them have been based on complex variables and the speed function as well as the partial time-derivative are obtained, another two methods are based on the time depended Green function and Fourier transformation, respectively. For examples, an entry of inclined wedges with strait sides into weightless and also into gravity medium are presented.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Logvinovich GV. Hydrodynamics of streams with free boundaries. Kiev: Nauk. Dumka; 1969 (In Russian).
Sagomonyan AYa. Penetrating. Moscow University; 1974 (In Russian).
Korobkin AA, Pukhnachov VV. The initial stage of water impact. Ann Rev Fluid Mech. 1988;20:159–95.
Terentiev AG. Problems in the theory of high-speed hydrodynamics. Proceedings of the International Summer Scientific School “High Speed Hydrodynamics”. Cheboksary; 2002. p. 11–27.
Yim B. Investigation of gravity and ventilation effects during the water entry of thin foils. Proceedings of the IUTAM Symposium “Unsteady Flow of Water at High Speed”. Leningrad; 1971. p. 6.
Terentiev AG. Inclined entry of a thin body into incompressible liquid. Izvestia AN SSSR MZhG. 1977b;5:16–24 (In Russian).
Terentiev AG. Inclined entry in ideal non-gravity liquid of thin body with ventilated cavity. Izvestia AN SSSR MZG. 1979;3:66–76 (In Russian).
Gradstain IS, Ryzhik IM. Tables of integrals, sums, series and products. M. GIFML; 1962.
Dobrovolskaya ZN. On some problems of similarity flow of fluid with a free surface. J Fluid Mech. 1969;36(part 4). pp. 805–829.
Terentiev AG, Mikhailov VM. Non-stationary moving of the slender bodies in an ideal fluid. Proceedings of the Non-stationary moving of bodies in a fluid. Cheboksary; 1979. p. 111–48. (In Russian).
Moran JP. The vertical water-exit-and-entry of slender symmetric bodies. J Aerospace Sci. 1961;28:803–12.
Porfiriev NP. Vertical moving of a thin axisymmetric body to free surface of a gravity liquid. Proceedings of the “High Speed Hydrodynamics”. Cheboksary: Chuvash State University; 1981. p. 100–9. (In Russian).
Galanin AV, Terentiev AG. Boundary value problems of linear hydrodynamics. Cheboksary: Chuvash University Press; 1984 (In Russian).
Kuznetsov AV, Manevich ASh. Gravity effect in water entry of thin foil. Proc. Trudy NKI. Nikolaev: NKI; 1979. p. 152. (In Russian).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Terentiev, A.G. (2012). Water Entry of Thin Hydrofoils. In: Nesteruk, I. (eds) Supercavitation. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23656-3_10
Download citation
DOI: https://doi.org/10.1007/978-3-642-23656-3_10
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-23655-6
Online ISBN: 978-3-642-23656-3
eBook Packages: EngineeringEngineering (R0)