Instabilities in the flow of thin liquid films

L. Kondic; Javier A. Diez

doi:10.1007/978-94-010-0796-2_20

Instabilities in the flow of thin liquid films

L. Kondic, Javier A. Diez

Mathematical Sciences

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

We present computational results concerning the contact line instability as a thin film flows down an inclined plane under gravity. Within the framework of lubrication approximation, we show that the instability and the nature of the pattern formation for a completely wetting fluid strongly depends on the inclination angle. Large inclination angles lead to formation of finger-like rivulets, while smaller angles lead to triangular saw-tooth patterns. However, complete coverage of the substrate by the fluid is always obtained. We also discuss the instability development for long times, and nonlinear mode interaction in large computational domains ¹.

Original language	English (US)
Title of host publication	IUTAM SYMPOSIUM ON FREE SURFACE FLOWS
Editors	A.C. KING, YD. SHIKHMURZAEV
Pages	161-168
Number of pages	8
DOIs	https://doi.org/10.1007/978-94-010-0796-2_20
State	Published - 2001

Publication series

Name	Fluid Mechanics and its Applications
Volume	62
ISSN (Print)	0926-5112

All Science Journal Classification (ASJC) codes

Mechanics of Materials
Mechanical Engineering
Fluid Flow and Transfer Processes

Keywords

Contact line
Pattern formation
Thin liquid films

Access to Document

10.1007/978-94-010-0796-2_20

Cite this

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T1 - Instabilities in the flow of thin liquid films

AU - Kondic, L.

AU - Diez, Javier A.

PY - 2001

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AB - We present computational results concerning the contact line instability as a thin film flows down an inclined plane under gravity. Within the framework of lubrication approximation, we show that the instability and the nature of the pattern formation for a completely wetting fluid strongly depends on the inclination angle. Large inclination angles lead to formation of finger-like rivulets, while smaller angles lead to triangular saw-tooth patterns. However, complete coverage of the substrate by the fluid is always obtained. We also discuss the instability development for long times, and nonlinear mode interaction in large computational domains 1.

KW - Contact line

KW - Pattern formation

KW - Thin liquid films

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SN - 9780792370857

T3 - Fluid Mechanics and its Applications

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BT - IUTAM SYMPOSIUM ON FREE SURFACE FLOWS

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ER -

Instabilities in the flow of thin liquid films

Abstract

Publication series

All Science Journal Classification (ASJC) codes

Keywords

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