A STUDY OF THE WAVE RESISTANCE OF A CATAMARAN
V A Dubrovskiy
Abstract
V A Dubrovskiy
Abstract
The additional resistance in a catamaran, arising as the result of the interaction of the hull effects, is studied. This additional resistance has three components: additional wave resistance from the hull-wave interaction; additional friction resistance from the increased speed between the hulls; and resistance due to shape. These factors are studied experimentally with measurements of a single hull at a distance b from a solid wall. This arrangement is hydrodynamically equivalent to two hulls separated by 2b. The model tests for a Michell ship are compared with analytical findings based on a solution developed by A. A. Kostyukov. These tests also confirmed the applicability of simplifying the assumption of M. D. Khaskind in which hull sag is considered as being small in comparison with length. The single hull wave resistance calculated on this basis agreed well with the measurements. Without considering the resistance due to shape, the calculated additional wave resistance was also valid. An analysis is conducted to determine when a negative additional wave resistance originates. This does not occur for U-shaped hulls, but does occur with S-shaped hulls in a narrow range of hull separations (the negative wave resistance is taken to mean that the resistance of the twin-hull catamaran is lower than twice the resistance of the two individual hulls).
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The additional resistance in a catamaran, arising as the result of the interaction of the hull effects, is studied. This additional resistance has three components: additional wave resistance from the hull-wave interaction; additional friction resistance from the increased speed between the hulls; and resistance due to shape. These factors are studied experimentally with measurements of a single hull at a distance b from a solid wall. This arrangement is hydrodynamically equivalent to two hulls separated by 2b. The model tests for a Michell ship are compared with analytical findings based on a solution developed by A. A. Kostyukov. These tests also confirmed the applicability of simplifying the assumption of M. D. Khaskind in which hull sag is considered as being small in comparison with length. The single hull wave resistance calculated on this basis agreed well with the measurements. Without considering the resistance due to shape, the calculated additional wave resistance was also valid. An analysis is conducted to determine when a negative additional wave resistance originates. This does not occur for U-shaped hulls, but does occur with S-shaped hulls in a narrow range of hull separations (the negative wave resistance is taken to mean that the resistance of the twin-hull catamaran is lower than twice the resistance of the two individual hulls).
Key concepts: Hull, Resistance (ecology), Marine engineering, Mechanics, Engineering, Physics, Biology, Ecology