Spatio-temporal instability in free ultra-thin films

被引：4

作者：

Shugai, GA ^{[1
]}

Yakubenko, PA ^{[1
]}

机构：

[1] Royal Inst Technol, Dept Hydraul Engn, S-10044 Stockholm, Sweden

来源：

EUROPEAN JOURNAL OF MECHANICS B-FLUIDS | 1998年 / 17卷 / 03期

关键词：

thin film; spatio-temporal instability; disjoining pressure;

D O I：

10.1016/S0997-7546(98)80264-1

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The linear evolution of an initially localized disturbance is investigated for a free ultra-thin film of viscous liquid, which is subjected to capillary and long range intermolecular forces. The analysis is based on the long-wave model proposed by Erneux and Davis (1993, Phys. Fluids A, 5, 1117), which is reformulated in an equivalent form by means of the disjoining pressure approach. A negative disjoining pressure due to the van der Waals attraction strongly promotes instability. Both the growth rate along rays x = Ut and speed of the disturbance edges increase as the thickness of the undisturbed film decreases. The estimated film rupture time is larger than that found from linear temporal stability analysis. (C) Elsevier, Paris.

引用

页码：371 / 384

页数：14

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