Formulations of hydrodynamic force in the transition stage of the water entry of linear wedges with constant and varying speeds

The slamming and transition stages are the most important for water entry of wedges, in which wedges experience main hydrodynamic forces. stage is fully investigated by analytical methods, while there few formulations where spray root exceeds top wedge. Motivated that, this paper numerically studies linear with constant varying speeds, assumptions that fluid incompressible, inviscid negligible effects gravity surface tension, flow irrotational. For speed impact, similitude declining forces between different deadrise angles found scaling differences maximum values results steady supercavitating flow. force formulated based on together increasing stage. component caused acceleration effect an added mass coefficient average increase 27.13% compared Finally, a general expression both thus proposed has good predictions range from 5° to 70° impacts.