Abstract
The results of numerically solving the linear problem of the rocking of a submerged body in an inviscid incompressible fluid bounded either by a rigid top or by a free surface are presented. In each case the equivalence relations connecting the solutions of the radiation and diffraction problems are derived. The apparent mass and damping coefficients are calculated and a comparison with an approximate solution is given.
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References
T. F. Ogilvie, “First- and second-order forces on a cylinder submerged under a free surface,”J. Fluid Mech.,16, 451 (1963).
R. A. Naftzger and S. K. Chakrabarti, “Scattering of waves by two-dimensional circular obstacles in finite water depths,”J. Ship Res.,23, 32 (1979).
A. Mo and E. Palm, “On radiated and scattered waves from a submerged elliptic cylinder in a uniform current,”J. Ship Res.,31, 23 (1987).
M. Greenhow and S. I. Ahn, “Added mass and damping of horizontal circular submerged cylinder section,”Ocean Eng.,15, 495 (1988).
R. E. Taylor and S. C. Hu, “Multiple expansions for wave diffraction and radiation in deep water,”Ocean Eng.,18, 191 (1991).
N. D. Cherepenin, “A problem of a cylinder oscillating near the interface of two fluids,” in:Proceedings of the Workshop on Shell Theory, Issue 4 [in Russian], Kazan' Physicotechnical Institute, USSR Academy of Sciences, Kazan', (1974), p. 263.
M. D. Khaskind,Hydrodynamic Theory of Ship Motions [in Russian], Nauka, Moscow (1973).
G. X. Wu and R. E. Taylor, “Hydrodynamic forces on submerged oscillating cylinders at forward speed,”Proc. Roy. Soc. London,A, 414, No. 1846, 149 (1987).
J. N. Newman, “The theory of ship motions,”Adv. Appl. Mech.,18, 221 (1978).
N. E. Kochin, “Plane problem of steady-state oscillations of bodies beneath the free surface of a heavy incompressible liquid,” in:Collected Works, Vol. 2 [in Russian], published by USSR Academy of Sciences, Moscow—Leningrad (1949).
J. V. Wehausen and E. V. Laitone, “Surface Waves,” in:Handbuch der Physik, Bd. 9, Springer Verlag, Berlin (1960), p. 446.
Yu. Z. Miropol'skii,Dynamics of Internal Gravity Waves in the Ocean [in Russian], Gidrometeoizdat, Leningrad (1981).
F. G. Leppington and P. F. Siew, “Scattering of surface waves by submerged cylinders,”Appl. Ocean Res., No. 3, 129 (1980).
V. A. Gorodtsov and E. V. Teodorovich, “Power of harmonic internal wave oscillators,”Zh. Prikl. Mekh. Tekh. Fiz., No. 4, 53 (1986).
I. V. Sturova, “Waves generated by unsteady body motion in stratified fluid,” in:Proc. Sci. and Methodol. Semin. Ship Hydrodyn., 15th Jubil. Sess., Varna, Vol. 1, (1986), p. 27.
A. G. Terent'ev and K. E. Afanas'ev,Numerical Methods in Hydrodynamics [in Russian], Chuvash. University, Cheboksary (1987).
V. S. Sabaneev, “Apparent masses of an elliptic cylinder in motion in a fluid bounded by a plane wall or free surface,”Vestn. Leningrad State University, Mat., Mekh., Astr., No. 1, 115 (1963).
Additional information
Novosibirsk. Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 3, pp. 144–155, May–June, 1994.
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Sturova, I.V. Plane problem of hydrodynamic rocking of a body submerged in a two-layer fluid without forward speed. Fluid Dyn 29, 414–423 (1994). https://doi.org/10.1007/BF02230778
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DOI: https://doi.org/10.1007/BF02230778