Abstract
The article presents the results of a study of the influence of wing-shaped sail position on the motion parameters and hydrodynamic characteristics of a submerged body moving in shallow water. The sail was located at the bow and stern ends, as well as on the midship frame of the body model. The magnitude of the vertical displacement of the models under the influence of the lifting force for the given values of the Froude number Fr was determined experimentally in an experimental tank. A series of numerical calculations were performed based on the obtained data. The values of hydrostatic and hydrodynamic pressure arising from the movement of the models were determined. It was found that the presence of the sail led to an abrupt change in the area of hydrostatic pressure at its location. When the model with the sail located on the midship frame moved at a relative speed of Fr = 0,3 – 0,5, the nature of wave formation and total resistance significantly decreased due to the interference of wave systems. The highest values of hydrodynamic characteristics over the entire speed range were recorded for the movement of the model with the sail located in the bow. The study showed that the location of the conning tower on the surface of the underwater vehicle, in the mid-hull, is the most optimal in terms of total resistance and lift force.
Keywords: submerged body, sail, free liquid surface, hydrodynamic characteristics
References:
1 Sturova IV, Tkacheva LA. Behavior of a floating ice cover under external loads (review). Journal of Applied Mathematics and Mechanics. 2025;3(391):3–55. http://dx.doi.org/10.15372/PMTF202415617
2 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: Thesis … Master of Philosophy. University of Tasmania, Hobart. 2014;214 p.
3 Pantov EN, Makhin NN, Sheremetov BB. Fundamentals of the theory of propulsion of underwater vehicles. Leningrad: Sudostroenie, 1973;211 p. (In Russ.).
4 Shariati S, Mousavizadegan S. The effect of appendages on the hydrodynamic characteristics of an underwater vehicle near the free surface. Applied Ocean Research. 2017; 67:31–43. http://dx.doi.org/10.1016/j.apor.2017.07.001
5 Zemlyak VL, Kozin VM, Vasilyev AS. Sail effect upon submerged body movement at small depth. Transactions of the Krylov State Research Centre. 2025;1(411):24–31. (In Russ.).
6 Toxopeus S, Kerkvliet M, Vogels R, Quadvlieg F, Nienhuis B. Submarine hydrodynamics for off-design conditions. Journal of Ocean Engineering and Marine Energy. 2022;8: 499–511. http://dx.doi.org/10.1007/s40722-022-00261-y
7 Anderson B, Chapuis M, Erm L, Fureby C, Giacobello M, Henbest S, Jones D, Jones M, Kumar C, Liefvendahl M, et al. Experimental and computational investigation of a generic conventional submarine hull form. In: 29th Symposium on naval hydrodynamics, Gothenburg, Sweden, 26–31 August 2012.
8 Divsalar K. Improving the hydrodynamic performance of the SUBOFF bare hull model: a CFD approach. Acta Mechanica Sinica. 2020;36(1):44–56. https://doi.org/1007/s10409-019-00913-7
9 Bai T, Xu J, Wang G, Yu K, Hu X. Analysis of resistance and flow field of submarine sailing near the ice surface. Chinese Journal of Ship Research. 2021;16(2):36–48 (in Chinese). https://doi.org/10.19693/j.issn.1673-3185.01975
10 Gourlay T, Dawson E. A havelock source panel method for near-surface submarines. Journal of Marine Science and Application. 2015;14:215–224. https://doi.org/10.1007/s11804-015-1319-5
11 Doctors L, Beck R. Convergence properties of the Neumann-Kelvin problem for a submerged body. Journal of Ship Research. 1987;31:227–234. https://doi.org/10.5957/jsr.1987.31.4.227
12 Hama FR, Long JD, Hegarty JC. On transition from laminar to turbulent flow. Journal of Applied Physics. 1957; 28:388–394. https://doi.org/10.1063/1.1722760
13 Zemlyak VL, Kozin VM. Ice tank of Ice Technology Laboratory. Transactions of Sholom-Aleihem Amur State University. 2021;1(42):19–31. (In Russ.) https://doi.org/10.24412/2227-1384-2021-142-19-31
14 Zemlyak VL, Kozin VM, Vasilyev AS. Influence of the cross-sectional shape of a submerged body on its hydrodynamic characteristics in free water surface movement. Journal of Ocean Engineering and Marine Energy. 2024;10(3):671–689. https://doi.org//10.1007/s40722-024-00333-1
15 Snegiryov AYu. High-performance computing in technical physics. Numerical modeling of turbulent flows. Textbook. St. Petersburg: Publishing house. Polytechnic University. 2009;143 p. (In Russ.).
16 Sturova IV. The effect of a crack in an ice sheet on the hydrodynamic characteristics of a submerged oscillating cylinder. Journal of Applied Mathematics and Mechanics. 2015; 79:170–178. https://doi.org//10.1016/j.jappmathmech.2015.07.008
