Non-linear waves in films at low Kapitsa numbersстатья
Информация о цитировании статьи получена из
Web of Science,
Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 30 декабря 2020 г.
Аннотация:Methods and results of mathematical modeling of nonlinear waves excited by hydrodynamic instability in moving capillary films
of a viscous fluid are discussed. Two model systems of differential equations for local values of the layer thickness and fluid flow are considered. One -parameter Kapitsa--Shkadov model is widely used in the world literature on the films hydrodynamics. The two-parameter model expands the possibilities for the direct calculation of nonlinear waves in films of high viscosity liquids. The scenarios of instability and bifurcations are discussed, and the results of calculations of wave structures are presented.