| Abstract: | The behavior of disturbances propagating with supercritical speed ahead of a plate in a channel is analyzed on the basis of
the experimental results obtained by the authors and data taken from the literature. In particular, the transition from smooth
to breaking waves has been found to occur at higher propagation speeds than follows from the first approximation of shallow
water theory. It has also been found that for waves widely encountered in practice the value of the propagation speed agrees
well with the limiting propagation speed of solitary waves obtained on the basis of the complete equations of potential fluid
flow.
Novosibirsk. Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 1, pp. 82–90, January–February,
1999.
The study was carried out with the support of the Russian Foundation for Basic Research (project No. 95-01-01164) and by the
Integration Program of the Siberian Branch of the Russian Academy of Sciences under grant No. 97-43. |
