Ocean and Polar Research

Korea Institute of Ocean Science & Technology (한국해양과학기술원)
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Mathematical Models That Underlie Computer Simulation of the Hook and Line Fishing Gears

  • Gabruk, Victor Ivanovich (Federal State Budgetary Educational Institution of Higher Education Far Eastern State Technical Fisheries University) ;
  • Kudakaev, Vasilii Vladimirovich (Federal State Budgetary Educational Institution of Higher Education Far Eastern State Technical Fisheries University)
  • Received : 2018.08.28
  • Accepted : 2019.02.27
  • Published : 2019.03.30
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Abstract

The present study obtained universal mathematical models of all elements and characteristics regarding hook and line fishing systems. To describe the hook and line fishing systems on site we used three kinds of coordinate systems: the earth based coordinate system, natural coordinate system, and flow (velocity) coordinate system. Mathematical models presented in this article allow us to define the shape of the fishing gear, the tension of the rope at different points, hydrodynamic resistance, diameter of the hook's wire, immersion depth of the fishing hooks, distance from hooks to the ground and the required lifting force of the floats. These models allow for the performance of computer simulations regarding any kinds of hook and line gears in still water or water where flow occurs.

Keywords

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Fig. 1. Near-bottom longline: 1 - anchor; 2 - sinker; 3 - anchor-rope; 4 - anchor-line; 5 - float-line; 6 - anchor buoy line; 7 - anchor buoy; 8 - flag pole with float and sinker ; 9 - radio buoy; 10 - mainline; 11 - float; 12 - snood; 13 - fishing hook; 14 - weight-line; 15 - weight

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Fig. 2. ECS xyz and FCS xVyVzV of the rope: ($\overrightarrow{{\tau}}$$\overrightarrow{V}$)- rope flow plane; α - angle of attack; ϕ - angle of roll

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Fig. 3. Parameters. (a, b) Asymmetrical rope (AO≠OB), (с) Symmetrical rope (AO = OB)

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Fig. 4. Parameters of the midwater longline

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Fig. 5. Parameters of the near bottom longline with two floats at each part

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Fig. 7. Forces applied to a fishing hook: Fp - Force with which the fish acts on the hook; Tn - Tension of the snood; bT - Arm of the snood tension

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Fig. 6. Parameters of the near-bottom longline with one float at each part

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Fig. 8. The “bait-hook-snood” system

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Fig. 9. i-th section of the Longline at the flow

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Fig. 10. The j-fishing hook coordinates determination at i-segment of the longline

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Fig. 11. Anchors; (a) without anchor-weight and (b) with anchor-weight in the form of the cylinder

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Fig. 12. Composite snood of the Japanese design for tuna longline

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Fig. 13. Stationary midwater longline

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Fig. 14. Float line parameters

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Fig. 15. Characteristics of the float partially submerged in water

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Fig. 16. Shapes of the float line with different float submersion; Dn= 0.25; V=0.5 m/s (obtained by computer simulation)

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Fig. 17. General view of the stationary midwater longline obtained by computer simulation

Table 1. Parameters of the longline

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Table 2. Boundary value problems

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