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ANALYTICAL SOLUTION OF WEDGE WATER ENTRY BY USING SCHWARTZ–CHRISTOFFEL CONFORMAL MAPPING

PARVIZ GHADIMI

Department of Marine Technology, Amirkabir University of Technology, Tehran, Iran

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AMIR SAADATKHAH

Department of Marine Technology, Amirkabir University of Technology, Tehran, Iran

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, and

ABBAS DASHTIMANESH

Department of Marine Technology, Amirkabir University of Technology, Tehran, Iran

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https://doi.org/10.1142/S1793962311000487Cited by:20 (Source: Crossref)

Abstract

Water impact is one of the most critical phenomena from the viewpoint of the structural design of ships and offshore structures. The impact force can impose a large load with high local pressure on the body surface. On the other hand, determination of the maximum impact force during impact and acting point itself is very important in the design of floats.

In this paper, the water entry of a two-dimensional wedge section is considered. This study is carried out in the framework of a potential-flow assumption. In particular, water impact on a dropping wedge with a constant velocity is pursued analytically by using the Schwartz–Christoffel conformal mapping. In order to determine a position of the wedge where the instantaneous effective force is largest during the impact, a particular equation is introduced here for the first time. The pressure distribution and maximum impact force are also calculated. The obtained results are compared against other numerical and experimental works and favorable agreement is displayed.

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