Evolution of long nonlinear waves on the interface of a stratified viscous fluid flow in a channel

Autor:	D. G. Arkhipov, G. A. Khabakhpashev
Rok vydání:	2007
Předmět:	Physics Mechanical Engineering Plane wave Mechanics Condensed Matter Physics Hagen–Poiseuille equation Pipe flow Physics::Fluid Dynamics Surface tension Nonlinear system Classical mechanics Mechanics of Materials Compressibility Gravity wave Stratified flow
Zdroj:	Journal of Applied Mechanics and Technical Physics. 48:508-518
ISSN:	1573-8620 0021-8944
Popis:	The dynamics of disturbances of the interface between two layers of incompressible immiscible fluids of different densities in the presence of a steady flow between the horizontal bottom and lid is studied analytically and numerically. A model integrodifferential equation is derived, which takes into account long-wave contributions of inertial layers and surface tension of the fluids, small but finite amplitude of disturbances, and unsteady shear stresses on all boundaries. Numerical solutions of this equation are given for the most typical nonlinear problems of transformation of both plane waves of different lengths and solitary waves.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::0970249c7b54961cc21f93c4ce9310fe https://doi.org/10.1007/s10808-007-0064-1 Zobrazit plný text záznamu Plný text ve formátu PDF