Oscillations of a gas pocket on a liquid-covered solid surface

Hanneke Gelderblom, Aaldert G. Zijlstra, Leen van Wijngaarden, Andrea Prosperetti

Research output: Contribution to journalArticleAcademicpeer-review

8 Citations (Scopus)
36 Downloads (Pure)

Abstract

The dynamic response of a gas bubble entrapped in a cavity on the surface of a submerged solid subject to an acoustic field is investigated in the linear approximation. We derive semi-analytical expressions for the resonance frequency, damping, and interface shape of the bubble. For the liquid phase, we consider two limit cases: potential flow and unsteady Stokes flow. The oscillation frequency and interface shape are found to depend on two dimensionless parameters: the ratio of the gas stiffness to the surface tension stiffness, and the Ohnesorge number, representing the relative importance of viscous forces. We perform a parametric study and show, among others, that an increase in the gas pressure or a decrease in the surface tension leads to an increase in the resonance frequency until an asymptotic value is reached
Original languageEnglish
Article number122101
Number of pages15
JournalPhysics of fluids
Volume24
Issue number12
DOIs
Publication statusPublished - 2012

Fingerprint

Surface tension
Liquids
Gases
Stiffness
Potential flow
Acoustic fields
Bubbles (in fluids)
Dynamic response
Damping

Cite this

Gelderblom, Hanneke ; Zijlstra, Aaldert G. ; van Wijngaarden, Leen ; Prosperetti, Andrea. / Oscillations of a gas pocket on a liquid-covered solid surface. In: Physics of fluids. 2012 ; Vol. 24, No. 12.
@article{2ce85d2f7a3b41a8a6c54c595bdb9b16,
title = "Oscillations of a gas pocket on a liquid-covered solid surface",
abstract = "The dynamic response of a gas bubble entrapped in a cavity on the surface of a submerged solid subject to an acoustic field is investigated in the linear approximation. We derive semi-analytical expressions for the resonance frequency, damping, and interface shape of the bubble. For the liquid phase, we consider two limit cases: potential flow and unsteady Stokes flow. The oscillation frequency and interface shape are found to depend on two dimensionless parameters: the ratio of the gas stiffness to the surface tension stiffness, and the Ohnesorge number, representing the relative importance of viscous forces. We perform a parametric study and show, among others, that an increase in the gas pressure or a decrease in the surface tension leads to an increase in the resonance frequency until an asymptotic value is reached",
author = "Hanneke Gelderblom and Zijlstra, {Aaldert G.} and {van Wijngaarden}, Leen and Andrea Prosperetti",
year = "2012",
doi = "10.1063/1.4769179",
language = "English",
volume = "24",
journal = "Physics of Fluids",
issn = "1070-6631",
publisher = "American Institute of Physics",
number = "12",

}

Oscillations of a gas pocket on a liquid-covered solid surface. / Gelderblom, Hanneke; Zijlstra, Aaldert G.; van Wijngaarden, Leen; Prosperetti, Andrea.

In: Physics of fluids, Vol. 24, No. 12, 122101, 2012.

Research output: Contribution to journalArticleAcademicpeer-review

TY - JOUR

T1 - Oscillations of a gas pocket on a liquid-covered solid surface

AU - Gelderblom, Hanneke

AU - Zijlstra, Aaldert G.

AU - van Wijngaarden, Leen

AU - Prosperetti, Andrea

PY - 2012

Y1 - 2012

N2 - The dynamic response of a gas bubble entrapped in a cavity on the surface of a submerged solid subject to an acoustic field is investigated in the linear approximation. We derive semi-analytical expressions for the resonance frequency, damping, and interface shape of the bubble. For the liquid phase, we consider two limit cases: potential flow and unsteady Stokes flow. The oscillation frequency and interface shape are found to depend on two dimensionless parameters: the ratio of the gas stiffness to the surface tension stiffness, and the Ohnesorge number, representing the relative importance of viscous forces. We perform a parametric study and show, among others, that an increase in the gas pressure or a decrease in the surface tension leads to an increase in the resonance frequency until an asymptotic value is reached

AB - The dynamic response of a gas bubble entrapped in a cavity on the surface of a submerged solid subject to an acoustic field is investigated in the linear approximation. We derive semi-analytical expressions for the resonance frequency, damping, and interface shape of the bubble. For the liquid phase, we consider two limit cases: potential flow and unsteady Stokes flow. The oscillation frequency and interface shape are found to depend on two dimensionless parameters: the ratio of the gas stiffness to the surface tension stiffness, and the Ohnesorge number, representing the relative importance of viscous forces. We perform a parametric study and show, among others, that an increase in the gas pressure or a decrease in the surface tension leads to an increase in the resonance frequency until an asymptotic value is reached

U2 - 10.1063/1.4769179

DO - 10.1063/1.4769179

M3 - Article

VL - 24

JO - Physics of Fluids

JF - Physics of Fluids

SN - 1070-6631

IS - 12

M1 - 122101

ER -