Abstract
The hydrodynamic impact of a falling body upon a viscous incompressible fluid is investigated by the development and solution of a mathematical model. The mathematical model simulates the impact of a rigid flat bottom body upon the quiescent free surface of viscous incompressible water. A compressible air layer exists between the falling body and the water free surface. The mathematical model is developed by applying the Navier-Stokes equations to the compressible air layer and the water. The compressible air layer is assumed to be one-dimensional within the layer. Velocity and pressure distributions within the air layer are calculated using the continuity equation and the one-dimensional momentum equation. The water free surface is allowed to deform as the air pressures acting on it increase. The two-dimensional rectangular coordinate form of the Navier-Stokes equations for an incompressible fluid are applied to the water. A normalization scheme is used which causes the water free surface to appear straight and simplifies the application of free surface boundary conditions. ...
Koehler, Buford Ray (1974). The hydrodynamic impact of a falling body upon a viscous incompressible fluid. Doctoral dissertation, Texas A&M University. Texas A&M University. Libraries. Available electronically from
https : / /hdl .handle .net /1969 .1 /DISSERTATIONS -171799.