2014
DOI: 10.1007/s00773-014-0275-0
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Higher order hydrodynamic interaction between two slender bodies in potential flow

Abstract: In this paper, we apply the slender body theory to study the effect of higher order hydrodynamic interactions between two slender bodies of revolution moving in close proximity, in an unbounded, inviscid, and incompressible fluid. We compare between leading and secondorder approximations, as well as approximate and exact separation distances. The total solution is found to be valid for both small and large lateral separation distances. The contribution of the higher order forces is found to be relatively small… Show more

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Cited by 9 publications
(6 citation statements)
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References 24 publications
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“…In this respect, a diamond-shaped swimming pattern is optimal in terms of energy saving which supports previous findings by [8]. Such mode might be observed in schools migrating in "safe" zones, or in large fish or mammals, e.g., dolphins [1,10], that use the saved energy for extra thrust during escape. However, smaller fish count on their manoeuvrability for survival, which increases with the total hydrodynamic forces [16,17].…”
Section: Hydrodynamic Modelsupporting
confidence: 86%
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“…In this respect, a diamond-shaped swimming pattern is optimal in terms of energy saving which supports previous findings by [8]. Such mode might be observed in schools migrating in "safe" zones, or in large fish or mammals, e.g., dolphins [1,10], that use the saved energy for extra thrust during escape. However, smaller fish count on their manoeuvrability for survival, which increases with the total hydrodynamic forces [16,17].…”
Section: Hydrodynamic Modelsupporting
confidence: 86%
“…The model by [8] accurately predicts diamond-shape pattern modes especially for relatively large fish or dolphins [1,10], and for different types of fish preferred orientations might be identified. However, for smaller fish (e.g., Jack Caranx sp., 60 cm) the school pattern shapes were found to be random; especially when fish encounter a danger (e.g., due to the presence and sudden movement of scuba-divers) their behaviour becomes more disordered within the school; at any given instant the relative distances and angles between neighbouring fish fail to form ordered patterns, as we observed (fig.…”
Section: Hydrodynamic Modelmentioning
confidence: 83%
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“…The available positions describe the selected aspects of ships interaction in selected conditions. Kadri and Weihs [14] modelled hydrodynamic interactions between two slender bodies of revolution moving in close proximity, in an unbounded, inviscid, and incompressible fluid. Von Graefe et al [35] introduced the nonlinear steady flow method that accounts for the nonlinear free-surface conditions, ship wave, and dynamic trim and sinkage.…”
Section: State Of the Art Analysismentioning
confidence: 99%
“…As such, the hydrodynamic interaction effects between submerged vehicles have not been extensively investigated experimentally, with the exception of Molland and Utama (2002). Nevertheless, some parallels can be drawn from numerical and experimental studies on the hydrodynamic interactions between surface ships, deducing that the interaction effects will depend on the: relative size between the submerged vessels, lateral separation distance, longitudinal relative positions, vessel speeds, hull shapes, submerged depths, and water depth (Taylor, 1909;Newman, 1965;Remery, 1974;Krishnankutty and Varyani, 2004;Kriebel, 2007;Lataire et al, 2009;Kadri and Weihs, 2014;Jayarathne et al, 2014).…”
Section: Introductionmentioning
confidence: 97%