Damped waves generated by a moving pressure distribution

2001 ◽  
Vol 12 (3) ◽  
pp. 357-366 ◽  
Author(s):  
J. -M. VANDEN-BROECK

Free surface flows generated by a moving distribution of pressure are considered. The fluid consists of two superposed layers in a two-dimensional channel. The upper layer is inviscid and the lower layer, which is introduced as a damping mechanism, is modelled by the mathematically convenient lubrication equations. Numerical and analytical solutions are presented. Special attention is given to solutions for which there is a train of waves on each side of the distribution of pressure. It is shown that, depending on the values of the parameters, the short waves can appear on either side of the distribution of pressure.

2017 ◽  
Vol 86 (9) ◽  
pp. 607-624 ◽  
Author(s):  
Ravindra Pethiyagoda ◽  
Timothy J. Moroney ◽  
Scott W. McCue

1985 ◽  
Vol 29 (03) ◽  
pp. 151-158
Author(s):  
J.-M. Vanden Broeck ◽  
E. O. Tuck

Linear and nonlinear studies are made of two-dimensional free-surface flows under gravity, in which a disturbance is caused to an otherwise uniform stream by a distribution of pressure over the free surface. In general, such a disturbance creates a system of trailing waves. There are special disturbances that do not, however, and some categories of such disturbances are discussed here. This work has potential applications to design of splashless ship bows.


2011 ◽  
Vol 84 (1) ◽  
Author(s):  
Benjamin James Binder ◽  
Jean-Marc Vanden-Broeck

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