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Exact and approximated solutions to the critical ship speeds in canals Delefortrie, G.; Verwilligen, J.; Vantorre, M.; Lataire, E. (2024). Exact and approximated solutions to the critical ship speeds in canals, in: Schonees, J.S. (Ed.) Proceedings of the 35TH PIANC WORLD CONGRESS 2024, Cape Town, South Africa, 29 April – 03 May 2024. pp. 649-654 In: Schonees, J.S. (Ed.) (2024). Proceedings of the 35TH PIANC WORLD CONGRESS 2024, Cape Town, South Africa, 29 April – 03 May 2024. PIANC: Brussels. ISBN 978-2-87223-041-9. 1636 pp.

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Beschikbaar in	Auteurs
Waterbouwkundig Laboratorium: Open Repository 409129 [ OWA ]
Documenttype: Congresbijdrage

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Trefwoorden

Canals Harbours and waterways > Resistance and propulsion > Bank effects Harbours and waterways > Ship motion > Fairway and harbour design Mathematics Proof Simulations Speed

Author keywords

Critical; Confined

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Auteurs		Top
Delefortrie, G. Verwilligen, J., meer Vantorre, M. Lataire, E.

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Abstract

A sailing ship displaces water and this amount of water needs to return along the hull. When the  environment is confined, as in a channel or canal, the water is squeezed in the gap between the ship and the  canal boundaries, increasing the return flow. The available space for the water to return is expressed as the  blockage ratio ?, which is the ratio of the cross sectional area of the ship and the cross section of the canal. With increasing ship speed the necessary return flow will no longer be met and the water will start to  accumulate in front of the ship. At this point the flow condition starts to change, which is commonly referred to  as the (first) critical speed. In the 1950s, critical speeds as a function of the blockage ratio were solved  graphically, but afterwards elegant goniometric formulations of these critical speeds as a function of the  blockage were established. Nevertheless, the appropriate proofs could not be traced back in literature.  Because of the importance of the speed ranges, and their relationship with squat and resistance of ships  navigating in canals, the present paper provides not only a proof of these goniometric relationships, but also  introduces approximated solutions.

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