Weitere Kapitel dieses Buchs durch Wischen aufrufen
This paper presents a generalized solution of the self-similar problem of impact between solid and liquid wedges, which includes as a special case the problem of asymmetric wedge entry into a liquid. The solution method is based on the construction of an analytical expression for the complex flow potential in a parameter region. From the dynamic and the kinematic boundary condition, integral equations are obtained for the determination of the velocity magnitude and angle with the free surface, which appear in the expression for the complex potential. The free boundary shape, the pressure distribution along the wedge, and the hydrodynamic force coefficients are calculated over a wide range of given data.
Bitte loggen Sie sich ein, um Zugang zu diesem Inhalt zu erhalten
Sie möchten Zugang zu diesem Inhalt erhalten? Dann informieren Sie sich jetzt über unsere Produkte:
Korobkin AA, Pukhnachov VV. Initial stage of water impact. Ann Rev Fluid Mech. 1988;20:443–7. CrossRef
von Karman T. The impact of seaplane floats during landing. Technical Note 321. Washington, DC: NACA; 1929.
Wagner H. Uber Stoss Gleitvorgange an der Oberache von Flussigkeiten. Z Angew Math Mech. 1932;12:192–215. CrossRef
Borg SF. Some contributions to the wedge-water entry problem. Proc Am Soc Civil Engrs J Eng Mech Div. 1957;83(EM2):1214.
Logvinovich GV. Hydrodynamics of free-boundary flows (in Russian). Kiev: Naukova Dumka; 1969.
Moiseev NN, Borisova EP, Koryavov PP. Plane and axisymmetric self-similar problems of liquid entry (in Russian). Prikladnaya Matematika i Mekhanika. 1959;23:490–507. MATH
Gonor AL. Entry of a thin wedge into a liquid (in Russian). Doklady Akademii Nauk SSSR. 1986;290:1068–72.
Keady G, Fowkes N. The vertical entry of a wedge into water: integral equations and numerical results. Third Biennial Engineering Mathematics and Applications Conference (EMAC’98). Adelaide; 1998. Vol. 1, p. 277–81.
Freankel E. Problems of similarity flow of fluid with a free surface. J Fluid Mech. 1969;36:805–29. CrossRef
Sagomonyan AYa. Penetration (in Russian). Moscow: Moscow State University; 1974.
Eroshin VA, Romanenkov NI, Serebryakov IV, Yakimov YuL. Hydrodynamic forces in blunt body entry into a compressible liquid (in Russian). Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkostei i Gazov. 1980;6:44–51.
Kubenko VD. Entry of elastic shells into a compressible liquid (in Russian). Kiev: Naukova Dumka; 1981.
Korobkin AA. Blunt body entry into a weakly compressible liquid (in Russian). Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki. 1984;5:104–10.
Zhuravlev YuF. Perturbation theory methods in spatial jet flows (in Russian). Trudy TsAGI. 1973;1532:1–22.
Savchenko YuN, Semenenko VN. Wave generation on the boundaries of cavities formed in the water entry of a disk and cones (in Russian). Problems in High-Speed Hydrodynamics. Cheboksary: Chuvash University; 1993. p. 231–9.
Savchenko YuN, Semenenko VN, Putilin SI. Unsteady processes in supercavitating body motion (in Russian). Prykladna Gidromekhanika. 1999;1(1):62–80.
Iafrati A. Hydrodynamics of asymmetric wedges impacting the free surface. European Congress on Computational Methods in Applied Sciences and Engineering. ECCOMAS 2000. Barselona; 11–14 Sept 2000.
Semenov YuA. Analytical solution to the self-similar problem of the water entry of an asymmetric wedge (in Russian). Prikladnaya Gidromekhanika. 2003;5(4, 77):64–72.
Semenov YuA. Oblique water entry of a wedge (in Ukrainian). Dopovidi Natsionalnoyi Akademiyi Nauk Ukrayiny. 2004;2:48–53.
Chekin BS. Wedge entry into an incompressible liquid (in Russian). Prikladnaya Matematika i Mekhanika. 1989;53(3):396–404. MathSciNet
Xu L, Troesch AW, Vorus WS. Asymmetric vessel impact and planing hydrodynamics. J Ship Res. 1998;42:187–98.
Joukovski NE. Modification of Kirchhoff’s method for determination of fluid motion in two directions at a fixed velocity given on the unknown streamline (in Russian). Math Coll. 1890;XV: 121–278.
Semenov YuA. Complex potential of an unsteady free-boundary flow (in Russian). Vestnik Khersonskogo Universiteta – Kherson. 2003;2:384–7.
Gurevich MI. Theory of Jets in ideal fluids (in Russian). Moscow: Nauka; 1979.
Wu GX, Sun H, He YS. Numerical simulation and experimental study of water entry of a wedge in free fall motion. Roy Soc A, J Fluids Struct. 2004;19(3):277–89. CrossRef
Semenov YA. Method for solving nonlinear problems on unsteady free-boundary flows.21th International Congress of Theoretical and Applied Mechanics. Warsaw; 15–21 August 2004.
- Generalized Self-Similar Problem of Impact Between Liquid and Solid Wedges
Yu. N. Savchenko
Yu. A. Semenov
- Springer Berlin Heidelberg
in-adhesives, MKVS, Hellmich GmbH/© Hellmich GmbH, Zühlke/© Zühlke, Neuer Inhalt/© momius | stock.adobe.com