Capillarity driven spreading of power-law fluids

被引：36

作者：

Betelu, SI ^{[1
]}

Fontelos, MA

机构：

[1] Univ Minnesota, Inst Math & Its Applicat, Minneapolis, MN 55455 USA

[2] Univ Rey Juan Carlos, Dept Matemat Aplicada, Madrid 28933, Spain

来源：

APPLIED MATHEMATICS LETTERS | 2003年 / 16卷 / 08期

关键词：

thin films; spreading; capillarity; PDE; rheology; similarity;

D O I：

10.1016/S0893-9659(03)90135-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the spreading of thin liquid films of power-law rheology. We construct an explicit travelling wave solution and source-type similarity solutions. We show that when the nonlinearity exponent lambda for the rheology is larger than one, the governing dimensionless equation h(t) + (h(lambda+2)\h(xxx)\(lambda-1)h(xxx))(x) = 0 admits solutions with compact support and moving fronts. We also show that the solutions have bounded energy dissipation rate. (C) 2003 Elsevier Ltd. All rights reserved.

引用

页码：1315 / 1320

页数：6

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