Incompressible impulsive wall impact of liquid cylinders

Abstract

Analytical solutions are given for cylindrical fluid bodies in translational motion that hit a plane wall in impulsive impact at constant velocity. We consider impact of fluid bodies with different rectangular and circular cross sections, and derive analytical solutions in terms of Fourier series or Fourier–Bessel series. The initial velocity fields, the corresponding pressure impulse fields, and the associated virtual masses for each fluid body are calculated.