Abstract
In the present study we investigate the 3D hydrodynamic slamming problem on a vertical cylinder due to the impact of a steep wave that is moving with a steady velocity. 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 we pose, is presented as a mixed boundary value problem for Laplace's equation in 3D. Apart from the mixedtype 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 freesurface. We make some simple assumptions at the start but otherwise we proceed analytically. We find closedform relations 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.
Original language  English 

Pages (fromto)  523533 
Number of pages  11 
Journal  Journal of Hydrodynamics 
Volume  28 
Issue number  4 
Early online date  31 Aug 2016 
DOIs  
Publication status  Published  Aug 2016 
Keywords
 3D impact
 violent slamming
 impulse pressure
 integral equations
Profiles

Mark Cooker
 School of Mathematics  Honorary Associate Professor
 Fluid and Solid Mechanics  Member
Person: Honorary, Research Group Member

Alexander Korobkin
 School of Mathematics  Professor in Applied Mathematics
 Fluid and Solid Mechanics  Member
Person: Research Group Member, Academic, Teaching & Research