A.A.Riabenko Rpofile of free surface of wavelike near-critical flows and solitary solutions of some differential equations |
Applied hydromechanics, Vol. 1 (73) ¹ 4, (1999) |
| A mathematical model of wavelike near-critical flows has been built. A generalixed differential equation for the free surface curve has been derived, general and solitary solutions for it have been found which are expressed through flow parameters in the initial section of flows considered. It has been shown that the known equations of Kortewed-de Vries, of Serre and the one suggested are reduced to one expression. Conditions of existence of solitary and cnoidal wales nad been explained. The theo etical profile is compared with experimental data. On basis of conducting theoretical and experimental research the classification of stable and permanent near-critical flows with smooth wavelike surface had been given. |
|
KEY WORDS: *** |
| TEXT LANGUAGE: Ukrainian |