Viscosity effect on capillary waves at liquid interfaces

U. Ser Jeng; Levon Esibov; Lowell Crow; Albert Steyerl

doi:10.1088/0953-8984/10/23/004

Viscosity effect on capillary waves at liquid interfaces

U. Ser Jeng, Levon Esibov, Lowell Crow, Albert Steyerl

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64 Scopus citations

Abstract

We discuss the viscosity damping effect on capillary waves in a binary-liquid system, using the linearized Navier-Stokes equation. The damping correction for the dispersion relation depends on the wave vector k as well as the interfacial tension. The calculated k-dependence of damping is characterized by a critical capillary-wave-number value k_e, which separates the regions of weak and strong damping. The surface and interfacial roughnesses of a binary liquid system with large liquid depths are calculated and compared to experiments. Although the analysis has been restricted to the classical, macroscopic level, we obtain a noticeable modification from earlier hydrodynamic results for capillary wave damping and liquid-liquid interfacial roughness.

Original language	English
Pages (from-to)	4955-4962
Number of pages	8
Journal	Journal of Physics Condensed Matter
Volume	10
Issue number	23
DOIs	https://doi.org/10.1088/0953-8984/10/23/004
State	Published - Jun 15 1998
Externally published	Yes

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title = "Viscosity effect on capillary waves at liquid interfaces",

abstract = "We discuss the viscosity damping effect on capillary waves in a binary-liquid system, using the linearized Navier-Stokes equation. The damping correction for the dispersion relation depends on the wave vector k as well as the interfacial tension. The calculated k-dependence of damping is characterized by a critical capillary-wave-number value ke, which separates the regions of weak and strong damping. The surface and interfacial roughnesses of a binary liquid system with large liquid depths are calculated and compared to experiments. Although the analysis has been restricted to the classical, macroscopic level, we obtain a noticeable modification from earlier hydrodynamic results for capillary wave damping and liquid-liquid interfacial roughness.",

author = "Jeng, {U. Ser} and Levon Esibov and Lowell Crow and Albert Steyerl",

year = "1998",

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TY - JOUR

T1 - Viscosity effect on capillary waves at liquid interfaces

AU - Jeng, U. Ser

AU - Esibov, Levon

AU - Crow, Lowell

AU - Steyerl, Albert

PY - 1998/6/15

Y1 - 1998/6/15

N2 - We discuss the viscosity damping effect on capillary waves in a binary-liquid system, using the linearized Navier-Stokes equation. The damping correction for the dispersion relation depends on the wave vector k as well as the interfacial tension. The calculated k-dependence of damping is characterized by a critical capillary-wave-number value ke, which separates the regions of weak and strong damping. The surface and interfacial roughnesses of a binary liquid system with large liquid depths are calculated and compared to experiments. Although the analysis has been restricted to the classical, macroscopic level, we obtain a noticeable modification from earlier hydrodynamic results for capillary wave damping and liquid-liquid interfacial roughness.

AB - We discuss the viscosity damping effect on capillary waves in a binary-liquid system, using the linearized Navier-Stokes equation. The damping correction for the dispersion relation depends on the wave vector k as well as the interfacial tension. The calculated k-dependence of damping is characterized by a critical capillary-wave-number value ke, which separates the regions of weak and strong damping. The surface and interfacial roughnesses of a binary liquid system with large liquid depths are calculated and compared to experiments. Although the analysis has been restricted to the classical, macroscopic level, we obtain a noticeable modification from earlier hydrodynamic results for capillary wave damping and liquid-liquid interfacial roughness.

UR - http://www.scopus.com/inward/record.url?scp=0042590308&partnerID=8YFLogxK

U2 - 10.1088/0953-8984/10/23/004

DO - 10.1088/0953-8984/10/23/004

M3 - Article

AN - SCOPUS:0042590308

SN - 0953-8984

VL - 10

SP - 4955

EP - 4962

JO - Journal of Physics Condensed Matter

JF - Journal of Physics Condensed Matter

IS - 23

ER -

Viscosity effect on capillary waves at liquid interfaces

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