A new surface, made up of an infinite number of infinitesimal meshes, is defined to approximate the cod-end. The force balance on a mesh element of this surface is considered in the limit as the mesh size tends to zero and the differential equations governing the geometry of a diamond meshed cod-end of circular cross section are derived in cartesian coordinates. The parametric form of the equations in terms of a, the distance along the cod-end profile, is then deduced and some special cases examined. In particular the case of a partially filled cod-end hanging under gravity is investigated and experimental measurements are compared with numerically obtained theoretical predictions. The numerical results are shown to provide a good description of the cod-end geometry except where the cod-end diameter is at its narrowest where there is a systematic departure of the predicted values from those measured. It is demonstrated that a probable explanation of this discrepancy is the assumption that the knots are simple points of intersection rather than finite well-defined structures.
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March 1997
Technical Papers
Differential Equations Governing the Geometry of a Diamond Mesh Cod-end of a Trawl Net
F. G. O’Neill
F. G. O’Neill
SOAEFD Marine Laboratory, P.O. Box 101, Victoria Road, Aberdeen AB11 9DB, Scotland
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F. G. O’Neill
SOAEFD Marine Laboratory, P.O. Box 101, Victoria Road, Aberdeen AB11 9DB, Scotland
J. Appl. Mech. Mar 1997, 64(1): 7-14 (8 pages)
Published Online: March 1, 1997
Article history
Received:
July 1, 1995
Revised:
August 1, 1996
Online:
October 25, 2007
Citation
O’Neill, F. G. (March 1, 1997). "Differential Equations Governing the Geometry of a Diamond Mesh Cod-end of a Trawl Net." ASME. J. Appl. Mech. March 1997; 64(1): 7–14. https://doi.org/10.1115/1.2787297
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