סמינר מחלקתי Prof. Ioannis K. Chatjigeorgiou

School of Mechanical Engineering Seminar
Monday, June 8, 2015 at 15:00
Wolfson Building of Mechanical Engineering, Room 206

Three-Dimensional Steep Wave Impact on a Vertical Cylinder

Prof. Ioannis K. Chatjigeorgiou

School of Naval Architecture and Marine Engineering , National Technical University of Athens, GREECE & School of Mathematics, University of East Anglia, Norwich, UK.

The three dimensional hydrodynamic slamming problem on a vertical cylinder due to the impact of a steep wave that is moving with a steady velocity is investigated. The linear theory of the velocity potential is employed by assuming inviscid, incompressible fluid and irrotational flow. As the problem is set in 3D space, the employment of the Wagner condition is essential. The set of equations, is presented as a mixed boundary value problem for Laplace’s equation in 3D. Apart from the mixed-type of boundary conditions, the problem is complicated by considering that the region of wetted surface of the cylinder is a set whose boundary depends on the vertical coordinate on the cylinder up to the free-surface. Some simple assumptions are made but otherwise the process is analytical. Closed-form relations are obtained for the hydrodynamic variables, namely the time dependent potential, the pressure impulse, the shape of the wave front (from the contact point to beyond the cylinder) and the slamming force.