A smoothly curved body skimming on shallow water

We investigate the dynamics of a smoothly curved convex body skimming on layer shallow water, with phenomenon skipping stones as primary modelling motivation but also industrial applications in mind. The process such an object may consist two successive stages: impact stage and conditional planing stage. focus here is explaining change from one to other, movement responding freely fluid flow pressures vice versa. first introduce water model analyse conditions under which smooth rapidly transit motion via small time asymptotics. A then introduced, particular we effects pressure separation flow; demonstrate certain weak adverse gradient body’s at early times can be seen undergoing three transitory phases.