Some Hydrodynamical Aspects of Fish Schooling
Hydrodynamical interactions between fish swimming close to each other in synchronization at equal velocities are examined. An inviscid flow model is employed to show that by proper positioning fish in a tightly packed school can utilize part of the energy shed by their neighbors.
A two-dimensional model is suggested for each horizontal layer in the school, and the velocity field is calculated by means of the complex potential of the wakes of the various members of the school.
The decrease in relative velocity for given absolute fish velocity due to induced wake flows.
The changes in net thrust forces obtained for given propulsive motions, due to the proximity of other fish in the same horizontal layer.
Effect of wakes of neighboring fish on the lift required for horizontal swimming of fish with negative buoyancy.
The optimal configuration is found to be an array of two dimensional diamonds resulting in reductions of the swimming effort of up to a factor of 5.
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- Belyayev, V. V. and Zuyev, G. V. 1969 Hydrodynamic hypothesis of schooling in fishes. J. Ichthyology, 9, 578–584.Google Scholar
- Breder, C. M. Jr. 1965 Vortices and fish schools. Zoologica, 50, 97–114.Google Scholar
- Breder, C. M. Jr. 1967 On the survival value of fish schools. Zoologica, 52, 25–40.Google Scholar
- Brock, V. E. and Riffenburgh, R. H. 1960 Fish schooling: a possible factor in reducing predation. J. Cons. Int. Exp. Mer. 25 (3), 307–317.Google Scholar
- Gray, J. 1968 Animal Locomotion. Weidenfeld and Nicolson, London.Google Scholar
- Hoerner, S. F. 1965 Fluid Dynamic Drag. S. F. Hoerner, New Jersey.Google Scholar
- Hunter, J. R. and Zweifel, J. R. 1971 Swimming speed, tail beat frequency, tail beat amplitude and size in mackerel Trachurus symmetricus and other fishes. Fish. Bull. U.S. 69, 253–266.Google Scholar
- Milne-Thomson, L. M. 1968 Theoretical Hydrodynamics, 5th Ed. MacMillan Co., London.Google Scholar
- Osborne, M. F. M. 1961 The hydrodynamic performance of migratory salmon. J. Exp. Biol. 38, 365–390.Google Scholar
- Shaw, E. 1970 Schooling in fishes: critique and review. In Development and Evolution in Behaviour, 452–480, W. H. Freeman, San Francisco.Google Scholar
- Weihs, D. 1973a Optimal fish cruising speed. Nature, 245, 48–50 and 7.Google Scholar