Some studies of the impact of vee wedges on a water surface

Experiments on the water entry of curved wedges: High speed imaging and particle image velocimetry

“…At the onset of the impact, the pile-up coefficient tends to π=2 for all the geometries except of the cylinder (gray lines), in which case the initial value is ffiffiffi 2 p , as one can could compute by taking a series expansion of Wagner condition for small penetration depths following Faltinsen (2006). As expected from observations in Bisplinghoff and Doherty (1952) and Mei et al (1999), the pile-up coefficient is generally overestimated with respect to experimental results in Fig. 10.…”

“…In this context, experimental data by Greenhow (1987) offered evidence that the pile-up coefficient of flat wedges does not vary during impact, even if the wedge decelerates as a result of the fluid-structure interaction. However, Wagner's prediction has been shown to often overestimate the pile-up coefficient of flat wedges (Bisplinghoff and Doherty, 1952) and lose accuracy as the deadrise angle increases (Mei et al, 1999). Notably, the implementation of Wagner condition on curved bodies indicates that the pile-up coefficient varies during the impact as a function of both the impact dynamics and the geometry (Faltinsen, 2006).…”

“…While these approaches have been shown to accurately describe hydrodynamic loading in a multitude of experimental studies, their validation is largely limited to specific geometries, whereby the majority of experimental studies have focused on flat wedges (Bisplinghoff and Doherty, 1952;Greenhow, 1987;Engle, 2003;Wu et al, 2004;Carcaterra and Ciappi, 2004;Tveitnes et al, 2008;Lewis et al, 2010;Stenius et al, 2013), cylinders (Greenhow and Yanbao, 1987;Cointe and Armand, 1987;Garrison, 1996;Battistin and Iafrati, 2003;Sun and Faltinsen, 2006), spheres (De Backer et al, 2009;El Malki Alaoui et al, 2012;Truscott et al, 2012), and cones (De Backer et al, 2009;El Malki Alaoui et al, 2012). More complex geometries, such as paraboloids and pyramids, have only been investigated in theoretical studies (Scolan and Korobkin, 2001;Korobkin, 2002;Gazzola et al, 2005;Korobkin and Scolan, 2006;Moore et al, 2012), and the effect of geometric curvature on the water entry of rigid bodies is yet to be fully experimentally quantified, see also the review by Abrate (2013).…”

Review of water entry with applications to aerospace structures

“…In this work Monaghan also provided a brief survey on the various assumptions that are made in the application of added mass theories. Similarly Bisplinghoff [16] undertook a survey on the progress and status of twodimensional wedge impact. Theory was developed for the determination of the shape of the free surface, again based upon Wagner's [4] solution.…”

Slamming of ships: where are we now?

“…Bisplinghoff & Doherty [64] carried out free-fall experiments and derived the impact force from the deceleration of the test section. The wetted length of the wedge during the impact was studied using a high-speed film camera that was able to shoot 1500 frames per second.…”