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2022 Journal Impact Factor - 0.6
2022 CiteScore - 1.7




ISSN 2083-6473
ISSN 2083-6481 (electronic version)




Associate Editor
Prof. Tomasz Neumann

Published by
TransNav, Faculty of Navigation
Gdynia Maritime University
3, John Paul II Avenue
81-345 Gdynia, POLAND
Construction and Analysis of New Mathematical Models of the Operation of Ship Propellers in Different Maneuvering Modes
1 National University “Odessa Maritime Academy”, Odessa, Ukraine
ABSTRACT: The influence of the curvilinear movement of the ship on the operation of the propeller was studied. It is shown that even at small values of the drift angle and the angular velocity of the vessel, the transverse component of the force on the propeller and the moment are non-zero and cannot be neglected. The existing and proposed new effective mathematical models of the longitudinal and transverse components of force and moment caused by the operation of the ship's propeller are analyzed. Simple expressions for the coefficients of the propeller thrust and the moment on the propeller shaft, the wake fraction, the thrust-deduction factor, and the flow straightening factor on the propeller at any drift angles and angular velocity are obtained. Numerical analysis of the obtained dimensionless components of forces and moments caused by the operation of the propeller is carried out, and their adequacy is shown. It is shown how the specified parameters change for all possible values of the drift angle and angular velocity. For a few commercial vessels of various types, technical characteristics and calculated dynamic parameters are given for the construction of mathematical models of propeller operation during curvilinear movement of the vessel.
R. Y. Pershytz, Dynamic control and handling of the ship. L: Sudostroenie, 1983.
Gofman A. D.: Propulsion and steering complex and ship maneuvering. Handbook. L.: Sudostroyenie.1988.
Miyusov M. V.: Modes of operation and automation of motor vessel propulsion unit with wind propulsors. Odessa, 1996
Kryvyi O. F.: Methods of mathematical modelling in navigation. ONMA, Odessa, 2015.
Kryvyi O. F, Miyusov M. V.: Mathematical model of movement of the vessel with auxiliary wind-propulsors, Shipping & Navigation, v. 26, pp.110-119, 2016.
Inoe S., Hirano M., Kijima K.: Hydrodynamic derivatives on ship maneuvering, Int. Shipbuilding Progress, v. 28, № 321, pp. 67-80, 1981. - doi:10.3233/ISP-1981-2832103
Kijima K.: Prediction method for ship maneuvering performance in deep and shallow waters. Presented at the Workshop on Modular Maneuvering Models, The Society of Naval Architects and Marine Engineering, v.47, pp.121 130, 1991.
Yasukawa H., Yoshimura Y.: Introduction of MMG standard method for ship manoeuvring predictions, J Mar Sci Technol, v. 20, 37–52pp, 2015. DOI 10.1007/s00773-014-0293-y - doi:10.1007/s00773-014-0293-y
Yoshimura Y., Masumoto Y.: Hydrodynamic Database and Manoeuvring Prediction Method with Medium High-Speed Merchant Ships and Fishing, International Conference on Marine Simulation and Ship Maneuverability (MARSIM 2012) pp.494-504
Yoshimura Y., Kondo M.: Tomofumi Nakano, et al. Equivalent Simple Mathematical Model for the Manoeuvrability of Twin-propeller Ships under the same propellers, Journal of the Japan Society of Naval Architects and Ocean Engineers, v.24, №.0, p.157. 2016, - doi:10.9749/jin.133.28
Wei Zhang, Zao-Jian Zou: Time domain simulations of the wave-induced motions of ships in maneuvering condition, J Mar Sci Technol, 2016, v. 21, pp. 154–166. DOI 10.1007/s00773-015-0340-3 - doi:10.1007/s00773-015-0340-3
Wei Zhang, Zao-Jian Zou, De-Heng Deng: A study on prediction of ship maneuvering in regular waves, Ocean Engineering, v. 137, pp 367-381, 2017, j.oceaneng. 2017.03.046 - doi:10.1016/j.oceaneng.2017.03.046
Erhan Aksu, Ercan Köse, Evaluation of Mathematical Models for Tankers' Maneuvering Motions, JEMS Maritime Sci, v.5 №1, pp. 95-109, 2017. DOI: 10.5505/jems.2017.52523 - doi:10.5505/jems.2017.52523
Kang D., Nagarajan V., Hasegawa K. et al: Mathematical model of single-propeller twin-rudder ship, J Mar Sci Technol, v. 13, pp. 207–222, 2008, - doi:10.1007/s00773-008-0027-0
Shang H., Zhan C., Liu Z.: Numerical Simulation of Ship Maneuvers through Self-Propulsion, Journal of Marine Science and Engineering, 9(9):1017, 2021. - doi:10.3390/jmse9091017
Ni. Shengke, Zhengjiang Liu & Yao Cai.: Ship Manoeuvrability-Based Simulation for Ship Navigation in Collision Situations, J. Mar. Sci. Eng. 2019, 7, 90; doi:10.3390/jmse7040090 - doi:10.3390/jmse7040090
Sutulo S. & C. Soares G.: Mathematical Models for Simulation of Maneuvering Performance of Ships, Marine Technology and Engineering, (Taylor & Francis Group, London), p 661–698, 2011.
Lebedeva M. P., Vishnevskii L. I.: Forces on the maneuvering ship propeller. Vestnik GUMiRF im. ad. S. O. Makarova, v. 11, №3, 554–564, 2019. DOI: 10.21821/2309-5180-2019-11-3-554-56. - doi:10.21821/2309-5180-2019-11-3-554-564
Kryvyi O. F, Miyusov M. V.: “Mathematical model of hydrodynamic characteristics on the ship's hull for any drift angles”, Advances in Marine Navigation and Safety of Sea Transportation. Taylor & Francis Group, London, UK., pp. 111-117, 2019. - doi:10.1201/9780429341939-16
Kryvyi O. F, Miyusov M. V.: “The Creation of Polynomial Models of Hydrodynamic Forces on the Hull of the Ship with the help of Multi-factor Regression Analysis”, 8 International Maritime Science Conference. IMSC 2019. Budva, Montenegro, pp.545-555 http://www. imsc2019. BofP. pdf
Kryvyi O. F, Miyusov M. V.: Mathematical models of hydrodynamic characteristics of the ship’s propulsion complex for any drift angles, Shipping & Navigation, v. 28, pp. 88-102, 2018. DOI: 10.31653/2306-5761.27.2018.88-102 - doi:10.31653/2306-5761.27.2018.88-102
Kryvyi O. F, Miyusov M. V.: New mathematical models of longitudinal hydrodynamic forces on the ship’s hull, Shipping & Navigation, v. 30, pp. 88-89, 2020. DOI: 10.31653/2306-5761. 30. 2020.88-98 - doi:10.31653/2306-5761
Kryvyi O. F, Miyusov M. V., Kryvyi M. O.: Mathematical modelling of the operation of ship's propellers with different maneuvering modes, Shipping & Navigation, v. 32, pp. 71-88, 2021. DOI: 10.31653/2306-5761.32.2021.71-88 - doi:10.31653/2306-5761.32.2021.71-87
Basin M., Miniovich I. Ja.: Theory and calculation of propellers. GSISP, L. 1963.
Turbal V. K., Shpakov V. S., Shtumpf V. M.: Design of merchant ships form and propulsors. L: Sudostroenie, 1983.
Kuiper G.: The Wageningen Propeller Series. MARIN Publication 92-001, 1992.
Oosterveld M.W.C., van Oossanen P.: Further computer-analyzed data of the Wageningen B-screw series, Int Shipbuilding Prog., vol. 22, N 251, pp. 251-262, 1975. - doi:10.3233/ISP-1975-2225102
Biven R.: “Interactive Optimization Programs for Initial Propeller Design”, University of New Orleans Theses and Dissertations. 1009. 2009.
Carlton J.: Marine propellers and propulsion. Oxford: Butterworth-Heinemann, 2012 - doi:10.1016/B978-0-08-097123-0.00010-1
Citation note:
Kryvyi O., Miyusov M.V., Kryvyi M.: Construction and Analysis of New Mathematical Models of the Operation of Ship Propellers in Different Maneuvering Modes. TransNav, the International Journal on Marine Navigation and Safety of Sea Transportation, Vol. 17, No. 1, doi:10.12716/1001.17.01.09, pp. 95-102, 2023
Authors in other databases:
Mark Kryvyi: Scopus icon58555451900

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