Evolution of disturbances on shallow layers of non-Newtonian fluids

被引：8

作者：

Berezin, YA

Hutter, K ^{[1
]}

Spodareva, LA

机构：

[1] Tech Univ Darmstadt, Inst Mech, D-64289 Darmstadt, Germany

[2] Inst Theoret & Appl Mech, Novosibirsk 630090, Russia

来源：

PHYSICA D | 2000年 / 139卷 / 3-4期

关键词：

non-Newtonian fluids; linear analysis; finite-difference scheme;

D O I：

10.1016/S0167-2789(00)00019-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the stability of shallow layers of non-Newtonian fluids considered in the frame of the two-parametric power-law model of Ostward-de Waele, taking into account the surface tension effect, which gives rise to decreasing domains of unstable wave modes. For the weak nonlinearities two equations, valid in the limits of small and large Ostwald-de Waele numbers, are derived. They are analytically studied and the evolution of some finite disturbance is served numerically by making use of the upwind explicit finite-difference scheme. (C) 2000 Elsevier Science B.V. All rights reserved.

引用

页码：319 / 334

页数：16

共 14 条

[1] WAVE FORMATION ON A VERTICAL FALLING LIQUID-FILM [J].