Ac. King et Dj. Needham, THE INITIAL DEVELOPMENT OF A JET CAUSED BY FLUID, BODY AND FREE-SURFACE INTERACTION .1. A UNIFORMLY ACCELERATING PLATE, Journal of Fluid Mechanics, 268, 1994, pp. 89-101
The flow field induced by a vertical plate accelerating into a station
ary fluid of finite depth with a free surface and a gravitational rest
oring force is investigated. This is a model problem for some technolo
gically important design issues such as the bow splash of a ship movin
g at forward speed. Experimentally it is found that a thin jet forms o
n the plate and rises rapidly upwards. We investigate this jet in the
small-time approximation and find an analytical solution for the flow
field in which the jet emerges out of a thin region where the horizont
al momentum of the main flow is converted by inertial effects into a r
ising jet.