Determination of the drag coefficient of trawls by the hydraulic-mathematical method

Nikolay Gaydenok

doi:doi:10.37663/0131-6184-2021-2-90-98

VAK Russia 01.01.2002 UDC 51 CSCSTI 73.34 Russian Classification of Professions by Education 01.04.04 Russian Library and Bibliographic Classification 22 Russian Library and Bibliographic Classification 222

Determination of the drag coefficient of trawls by the hydraulic-mathematical method

Published в Fisheries · Volume 2021, Issue 2, 2021 · Pages 90–98 · Rubrics: Fishing equipment and fleet

DOI 10.37663/0131-6184-2021-2-90-98

Received: 09.04.2021 Accepted: 09.04.2021 Published: 09.04.2021

Authors

Nikolay Gaydenok ¹

1 Siberian federal University (Professor)
Krasnoyarsk, Krasnoyarsk, Russian Federation

ABSTRACT

The paper considers the features of determining the determination of the force and coefficient of water resistance to the movement of trawls and other floating bodies by the hydraulic-mathematical method by inverting the body contour based on the law of conservation of energy in the form of a solution in the special case of the Dido problem and the multi-criteria problem of the cal-culus of variations or optimal control in the general case. The proposed algo-rithm makes it possible to clearly take into account a wide range of hydro-mechanical phenomena that determine this important indicator, which is neces-sary for the development of an optimal trawling strategy.

KEYWORDS

trawl water resistance force friction resistance pressure resistance resistance coefficient Bernulli equation body contour inversion local resistances pres-sure drop dynamic pressure boundary layer calculus of variations optimal control Dido problem Bolts’s Task multi-criteria problem Galerkin method

Information References

Authors:

1. Siberian federal University (Professor)

Krasnoyarsk, Krasnoyarsk, Russian Federation

Type:

Article

Pages:

from 90 to 98

Status:

Published

Subject area:

VAK Russia 01.01.2002
UDC 51
CSCSTI 73.34
Russian Classification of Professions by Education 01.04.04
Russian Library and Bibliographic Classification 22
Russian Library and Bibliographic Classification 222

Language:

Russian

Keywords:

trawl, water resistance force, friction resistance, pressure resistance, resistance coefficient, Bernulli equation, body contour inversion, local resistances, pres-sure drop, dynamic pressure, boundary layer, calculus of variations, optimal control, Dido problem, Bolts’s Task, multi-criteria problem, Galerkin method

References

1. Alekseev V. M. Optimal control / V. M. Alekseev, V. M. Tikhomirov, S. V. Fomin. - M., Nau-ka, 1979, - 432 p.

2. Alferyev M. Ya. Speed and controllability of vessels. Resistance of water to the movement of ships. -Moscow: Transport, 1967. - 344 p.

3. Bazara M. Nonlinear programming. Theory and algorithms: Translated from English / M. Baza-ra, L. Shetty-M.: Mir, 1982. - 584 p.

4. Bakhmetyev B. A. On the uniform motion of liquid in channels and pipes. - L:, 1931, - p. 200.

5. Bliznyak, Ziring. Materials on the description of Russian rivers. Upr. Ext. Vodn. Paths of the Ministry of Transport of Russia, 1913, issue XXXIII-Cit. by Bakhmetyev B. A. On the uniform motion of liquid in channels and pipes. - L:, 1931. - p. 50

6. Gaidenok N. D. Ecological and commercial characteristics of the lower reaches of the Krasno-yarsk reservoir / N. D. Gaidenok, A. I. Perezhilin. // Fisheries. - 2013. - No. 6. - Pp. 70-76.

7. Zhukovsky N.E. On the satellite wave. In: Hydrodynamics. Collected works. - M., L., 1949, - volume 2. - Pp. 712-725.

8. Zener K. Geometric programming and design technologies. - M: Mir, 1973 Per. s engl. - 112 p.

9. Karman T. Some questions of the theory of turbulence. Sb. Problems of turbulence. - M.-L.: Publishing house ONTI NKTP, 1936. - Pp. 35-75.

10. Kiselev P. G. Hydraulics. Fundamentals of fluid mechanics. - Moscow: Gos-energoizdat, 1963. - 424 p.

11. Conte-Bello J. Turbulent flow in a channel with parallel walls. Per. s frants. - M: Mir, 1968. -176 p.

12. Krasnov N. F. Aerodynamics of bodies of rotation. - M.: Mashinostroenie, 1964. - 432 p.

13. Milovich A. Ya. Theory of dynamic interaction of bodies and liquids. - M-L.: Publishing house ONTI NKTP. - 240 p.

14. Nikuradze I. Regularities of turbulent motion of liquids in smooth pipes. // Sb. Problems of turbulence. - M-L.: Publishing house ONTI NKTP, 1936. - Pp. 75-150.

15. Patrashev A. N. Gidromekhanika-M: Voenizdat, 1953. - 720 p.

16. Prandtl L. Gidroaeromekhanika / Per. s. Nem. - Izhevsk, 2000. - 420 p.

17. Rabinovich E. Z. Hydraulika-M.: GIFML, 1963. - 408 p.

18. Roach P. J. Computational fluid dynamics. - M.: Mir, 1980 - 712 p.

19. Smirnov V. I. Course of higher mathematics. - M.: Nauka, 1975. - vol. 4. - 460 p.

20. Titiens O. Hydro-and aeromechanics. According to the lectures of Prof. L. Prandtl. trans. from German-M.-L.: ONTI, 1935. - vol. 2. - 400 p.

21. Fletcher K. Computational methods in fluid dynamics. Trans. from English-M.: Mir, 1991. vol. 2. - 552 p.

22. Chugaev R. R. Hydraulics. 4th edition. - L.: Energoizdat, 1982. - 672 p.

23. Khintse I. O. Turbulence, its mechanism and theory. - M.: Fizmatgiz, 1963. - 680 p.

Determination of the drag coefficient of trawls by the hydraulic-mathematical method

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