NON-LINEAR WAVES IN FILMS AT LOW KAPITSA NUMBERS

被引：0

作者：

Beloglazkin, A. N. ^{[1
]}

Shkadov, V. Ya ^{[1
]}

机构：

[1] Lomonosov Moscow State Univ, Moscow 119991, Russia

来源：

INTERFACIAL PHENOMENA AND HEAT TRANSFER | 2020年 / 8卷 / 03期

基金：

俄罗斯基础研究基金会;

关键词：

capillarity; films; instability; nonlinear waves; low-Kapitsa-number flows;

D O I：

10.1615/InterfacPhenomHeatTransfer.2020034995

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

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.

引用

页码：197 / 205

页数：9

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