Wave resistance of slender body in unsteady motion under an ice sheet
https://doi.org/10.59887/2073-6673.2024.17(1)-6
Abstract
The paper is devoted to the theoretical study of the rectilinear unsteady movement of a slender body in a liquid near the free surface and an ice sheet. Water is an ideal incompressible liquid, and the motion of the liquid is potential. The ice cover is modeled by a floating viscoelastic plate. The viscoelastic properties of ice are described using the Kelvin–Voigt model. A slender body of a given shape in the liquid flow is modeled by the flow of the source-sink system. Various modes of body movement are considered: acceleration, deceleration, movement at a given speed. The effect of the ice sheet, acceleration and deceleration of the body on its wave resistance is analyzed. It is obtained that unsteady modes of motion (acceleration and deceleration) significantly affect the wave resistance of a slender body. Motion with low initial acceleration makes it possible to reduce amplitude of the first-time hump of wave resistance. During body deceleration to a full stop, the curve of wave resistance has an oscillations. Reduction of deceleration coefficient results in decrease of oscillation amplitude of wave resistance curve. The presence of the ice cover smoothes the hump of wave resistance during acceleration and reduces the number of oscillations and their amplitude during deceleration.
Keywords
Supporting agencies: This work was financially supported by the Priority 2030 Strategic Academic Leadership Program under the Agreement No. 075-15-2023-495 dated 25. 04. 2023
About the Authors
A. V. Pogorelova
Sholom-Aleichem Priamursky State University
Russian Federation
Russian Federation
679015; 70a Shirokaya Str.; Birobidzhan
WoS Researcher ID: F-7916–2018; ScopusID 8548383700
V. L. Zemlyak
Sholom-Aleichem Priamursky State University
Russian Federation
Russian Federation
679015; 70a Shirokaya Str.; Birobidzhan
WoS Researcher ID: Y-2761–2018; ScopusID 36085759800
V. M. Kozin
Institute of Machine Science and Metallurgy, Far Eastern Branch Russian Academy of Sciences
Russian Federation
Russian Federation
681005; 1 Metallurgov Str.; Komsomolsk-na-Amure
References
1. Havelock T.H. Some cases of wave motion due to a submerged obstacle. Proc. R. Soc. Lond. 1917, 93, 520–532.
2. Havelock T.H. The wave resistance of a spheroid. Proc. R. Soc. Lond. 1931, 131, 275–285. doi: 10.1098/rspa.1931.0052
3. Havelock T.H. The wave resistance of an ellipsoid. Proc. R. Soc. Lond. 1931, 132, 480–486.
4. Kinoshita M., Inui T. Wave making resistance of a submerged spheroid, ellipsoid and a ship in a shallow water. J. Zosen Kiokai, the Japan Soc. Naval Architecture Ocean Eng. 1953, 75, 119–135
5. Wigley W.C.S. Water forces on submerged bodies in motion. Transactions. Institute of Naval Architects. 1953, 95, 268–279.
6. Farell C. On the wave resistance of a submerged spheroid. J. Ship Res. 1973, 17 (1), 1–11.
7. Doctors L., Beck R. Convergence properties of the Neumann-Kelvin problem for a submerged body. J. Ship Res., 1987, 31(4), 227–234. doi: 10.5957/jsr.1987.31.4.227
8. Weinblum G., Amtsberg H., Bock W. Tests on wave resistance of immersed bodies of revolution. Washington D.C.: The David W. Taylor Model Basin. 1950.
9. Gertler M. Resistance experiments on a systematic series of streamlined bodies of revolution — for application to the design of high-speed submarines. Washington D.C.: Navy Departmnt: The David W. Taylor Model Basin. 1950.
10. Farell C., Güven O. On the experimental determination of the resistance components of a submerged spheroid. J. Ship Res. 1973, 17, 72–79.
11. Griffin M.J. Numerical prediction of the maneuvring characteristics of submarines operating near the free surface. PhD in Ocean Engineering, Massachusetts Institute of Technology. 2002.
12. Dawson E. An investigation into the effects of submergence depth, speed and hull length-to-diameter ratio on the near-surface operation of conventional submarines. PhD thesis, University of Tasmania, Hobart, Australia. 2014.
13. Gourlay T.P., Dawson E. A Havelock-source panel method for near-surface submarines. Journal of Marine Science and Application. 2015, 15(3), 215–224. doi: 10.1007/s11804-015-1319-5
14. Crook T.P. An initial assessment of free surface effects on submerged bodies, MSc Mechanical Engineering, Naval Postgraduate College. USA. 1994.
15. Pogorelova A.V., Kozin V.M., Zemlyak V.L. Hydrodynamic forces on slender body advancing in water with ice cover. Proc 13<sup>th</sup> Int Ocean Pol Eng Conf, Shanghai, China, ISOPE, 2020, 707–714.
16. Pogorelova A.V., Kozin V.M., Zemlyak V.L. The effect of an ice cover on the trimming moment of submarines. IJOPE. 2022, 32(4), 440–447. doi: 10.17736/ijope.2022.jc872
17. Pogorelova A.V., Zemlyak V.L., Kozin V.M. Effect of the viscoelasticity of an ice cover on wave resistance and lift force experienced by Joubert submarine. Acta Mech. 2023. 234, 2399–2411. doi: 10.1007/s00707-023-03500-x
18. Zemlyak V.L., Pogorelova A.V., Kozin V.M. Motion of a submerged body in a near-surface water environment. International Journal of Naval Architecture and Ocean Engineering. 2022. doi: 10.1016/j.ijnaoe.2021.100433
19. Pogorelova A.V. Wave resistance of an air-cushion vehicle in unsteady motion over an ice sheet. Journal of Applied Mechanics and Technical Physics. 2008, 49, 71–79. doi: 10.1007/s10808-008-0010-x
20. Kheisin D.E. Dynamics of ice cover. Leningrad, Gidrometeoizdat, 1967 (in Russian).
21. Freudental A.M., Geiringer H. The mathematical theories of the inelastic continuum. Berlin a. o., Springer Verl., 1958. (Handbuch der Physik. Hrsg.von S. Flügge. Bd. VI)
22. Kochin N.E., Kibel I.A., Roze N.V. Theoretical hydromechanics. Vol. 1. Moscow, Fizmatlit, 1963. 583 p.
23. Moonesun M., Korol Y.M. A review study on the bare hull form equations of submarine. The 16th Marine Industries Conference, 2–3 December 2014 — Bandar Abbas. 2014, 1–9.
24. Pogorelova A.V., Zemlyak V.L., Kozin V.M. Moving of a submarine under an ice cover in fluid of finite depth. Journal of Hydrodynamics. 2019, 31, 562–569. doi:10.1007/s42241-018-0143-1
25. Squire V.A., Hosking R.J., Kerr A.D., Langhorne P.J. Moving loads on ice plates. Kluwer Acad., Dordrecht. 1996.
26. Takizava T. Deflection of a floating sea ice sheet induced by a moving load. Cold Regions Sci. Technol. 1985, 11, 171–180.
Review
For citations:
Pogorelova A.V., Zemlyak V.L., Kozin V.M. Wave resistance of slender body in unsteady motion under an ice sheet. Fundamental and Applied Hydrophysics. 2024;17(1):73-83. (In Russ.) https://doi.org/10.59887/2073-6673.2024.17(1)-6
Views:
299
Email this article 