Nonlinear dynamics and transient growth of driven contact lines

L. Kondic; A. L. Bertozzi

doi:10.1063/1.870213

Nonlinear dynamics and transient growth of driven contact lines

L. Kondic, A. L. Bertozzi

Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

24 Scopus citations

Abstract

We consider the theory of driven contact lines in a complete wetting scenario and examine the effect of small scale localized surface disturbances on the global shape of the film profile. We compute how the nonlinear amplification scales with the precursor thickness of the film and the characteristic width of the surface pattern. Nonlinear disturbances of the film profile are connected to "transient growth" in the linear stability analysis [Phys. Fluids 9, 530 (1997)].

Original language	English (US)
Pages (from-to)	3560-3562
Number of pages	3
Journal	Physics of Fluids
Volume	11
Issue number	11
DOIs	https://doi.org/10.1063/1.870213
State	Published - Nov 1999

All Science Journal Classification (ASJC) codes

Computational Mechanics
Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering
Fluid Flow and Transfer Processes

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10.1063/1.870213

Cite this

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abstract = "We consider the theory of driven contact lines in a complete wetting scenario and examine the effect of small scale localized surface disturbances on the global shape of the film profile. We compute how the nonlinear amplification scales with the precursor thickness of the film and the characteristic width of the surface pattern. Nonlinear disturbances of the film profile are connected to {"}transient growth{"} in the linear stability analysis [Phys. Fluids 9, 530 (1997)].",

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AB - We consider the theory of driven contact lines in a complete wetting scenario and examine the effect of small scale localized surface disturbances on the global shape of the film profile. We compute how the nonlinear amplification scales with the precursor thickness of the film and the characteristic width of the surface pattern. Nonlinear disturbances of the film profile are connected to "transient growth" in the linear stability analysis [Phys. Fluids 9, 530 (1997)].

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Nonlinear dynamics and transient growth of driven contact lines

Abstract

All Science Journal Classification (ASJC) codes

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