Journal ArticleDOI
Nonlinear hydrodynamic pressure on an accelerating plate
TLDR
In this article, a nonlinear theory is developed to determine accurately the hydrodynamic pressure on an accelerating vertical plate, where the plate is assumed to move horizontally towards the fluid with an acceleration which may be expressed in a power series in time.Abstract:
A nonlinear theory is developed to determine accurately the hydrodynamic pressure on an accelerating vertical plate. The plate is assumed to move horizontally towards the fluid with an acceleration which may be expressed in a power series in time. The fluid is initially at rest and the plate motion is impulsive. When the horizontal plate displacement is small in comparison with the undisturbed fluid depth, the method of small‐time expansions is adopted to obtain analytical solutions up to and including the third‐order velocity potential. The free surface profile of the fluid is also determined. An example for the constant acceleration case is presented to illustrate the method.read more
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Journal ArticleDOI
A porous-wavemaker theory
TL;DR: In this article, a porous wavemaker theory is developed to analyse small-amplitude surface waves on water of finite depth, produced by horizontal oscillations of a porous vertical plate, and analytical solutions in closed forms are obtained for the surface-wave profile, the hydrodynamic-pressure distribution and the total force on the wavemaker.
Nonlinear-Free Surface Effects: Experiments and Theory
Martin Greenhow,Woei-Min Lin +1 more
TL;DR: In this article, the authors present the results of some simple two-dimensional experiments in which the surface of the water is displaced a good deal from its undisturbed position, and for which linear theory is likely to be in error.
Journal ArticleDOI
Generation of long waves in laboratory
TL;DR: In this paper, a consistent theory is presented for generating arbitrary, finite-amplitude, long waves at any location in a two-dimensional, constant-depth wave tank using a vertical paddle-type wavemaker.
Journal ArticleDOI
On the oblique water-entry problem of a rigid sphere
TL;DR: In this paper, the case of oblique water-entry of a rigid sphere into an ideal incompressible fluid is studied analytically in order to determine the hydrodynamical loads acting on the body.
Journal ArticleDOI
The initial development of a jet caused by fluid, body and free-surface interaction. Part 1. A uniformly accelerating plate
A. C. King,D. J. Needham +1 more
TL;DR: In this article, the authors investigated the flow field induced by a vertical plate accelerating into a stationary fluid of finite depth with a free surface and a gravitational restoring force, and found that a thin jet formed on the plate and rose rapidly upwards.