Model Studies of Impulsively-Generated Water Waves

Abstract

The wave action due to a sudden impulse in a body of water was studied in a wave basin with beach in the laboratory. Waves were impulsively generated in the 90 ft. tank of water, 3 ft. deep, by the impact or sudden withdrawal of a paraboloidal plunger 14 ft. in diameter. The waves had a dominant height of 2 inches and period of 3 seconds, respectively, at a distance of 50 ft. from the plunger. Such waves are scale representations of those generated by sudden impulses in the ocean, such as an underwater nuclear explosion, a sudden change in the ocean bed due to earthquakes, or the impact of a land slide. The waves produced by a downward impulse, or by an underwater explosion, form a dispersive system: whose properties are not constant as in a uniform progressive wave train. Wave periodicities, celerities and wave lengths increase with time of travel and wave heights decrease with travel distance. Theory has already been developed to predict the wave properties at a given travel time and distance for given source energy, displacement and travel path depth profile (Jordaan 1965). Measurements agree fairly well with predictions.

Investigation of physical issues of the initial conditions of free water surface due to underwater disturbances on the basis of SPH numerical simulation of the phenomenon

“…Properties of dispersive wave motion in the space-time field were derived for general conditions and certain practical applications. Maximum wave heights, periods, lengths, velocities, travel times, envelopes, group velocities, and modification by a shoaling bottom can be uniquely expressed in terms of initiating disturbance as stated by VanDorn (1961), LeMehaute ( -1992, and Jordaan (1965Jordaan ( -1966.…”

String cloud and domain walls with quark matter in kink cosmological model

“…Properties of dispersive wave motion in the space-time field were derived for general conditions and certain practical applications. Maximum wave heights, periods, lengths, velocities, travel times, envelopes, group velocities, and modification by a shoaling bottom can be uniquely expressed in terms of initiating disturbance as stated by VanDorn (1961), LeMehaute (1991-1992), and Jordaan (1965Jordaan ( -1966.…”

Fast and thermal neutron radiographies based on a compact neutron generator

“…In Eq. 12, q = r h is defined as ratio of particle distance to smoothing length and D is a normalization constant which is equal to 7 4 h 2 in two dimensions and 21 16 h 3 in three dimensions.…”

“…VanDorn [14][15][16] and Whalin [17,18] introduced applications of Kranzer and Keller's analytical approach [19]. A theory was developed to predict the wave properties at the target travel time and distance for source energy, displacement and travel path depth profile by Jordaan [20,21]. Several studies are performed about propagation of water waves due to disturbances, and a sort of concepts are raised such as VanDorn et al [14][15][16].…”