Numerical study of liquid inclusion oscillations inside a closed 1D microchannel filled with gas

M. C. Duluc; O. P. Le Maître; V. Daru; P. Le Quéré

doi:10.1007/s10404-008-0308-2

Numerical study of liquid inclusion oscillations inside a closed 1D microchannel filled with gas

M. C. Duluc^*, O. P. Le Maître, V. Daru, P. Le Quéré

^*Corresponding author for this work

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

4 Scopus citations

Abstract

The motion of a liquid inclusion inside a 1D microchannel filled with gas and externally heated is simulated. An incompressible formulation is used for the liquid, while a low Mach approximation is considered for the gas flow. Gas-liquid interfaces are captured using an Arbitrary Lagrangian Eulerian method. The whole liquid-gas system is shown to behave as a damped oscillator. Natural frequency of the linearized system and associated eigenmodes are first identified. Forced oscillations are investigated for different heating conditions (temperature or heat flux) at the microchannel ends. Detailed analyses are performed which reveal the main thermo-mechanical effects involved in the oscillations. The relevant parameters governing the dynamics are found out through a dimensionless analysis. Finally, heating conditions leading to non decaying oscillations of the liquid inclusion are proposed.

Original language	English (US)
Pages (from-to)	163-177
Number of pages	15
Journal	Microfluidics and Nanofluidics
Volume	6
Issue number	2
DOIs	https://doi.org/10.1007/s10404-008-0308-2
State	Published - 2009
Externally published	Yes

Keywords

CFD
Low-Mach approximation
Microfluidics
Oscillations
Two-phase flows

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics
Materials Chemistry

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10.1007/s10404-008-0308-2

Cite this

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title = "Numerical study of liquid inclusion oscillations inside a closed 1D microchannel filled with gas",

abstract = "The motion of a liquid inclusion inside a 1D microchannel filled with gas and externally heated is simulated. An incompressible formulation is used for the liquid, while a low Mach approximation is considered for the gas flow. Gas-liquid interfaces are captured using an Arbitrary Lagrangian Eulerian method. The whole liquid-gas system is shown to behave as a damped oscillator. Natural frequency of the linearized system and associated eigenmodes are first identified. Forced oscillations are investigated for different heating conditions (temperature or heat flux) at the microchannel ends. Detailed analyses are performed which reveal the main thermo-mechanical effects involved in the oscillations. The relevant parameters governing the dynamics are found out through a dimensionless analysis. Finally, heating conditions leading to non decaying oscillations of the liquid inclusion are proposed.",

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AU - Duluc, M. C.

AU - Le Maître, O. P.

AU - Daru, V.

AU - Le Quéré, P.

PY - 2009

Y1 - 2009

N2 - The motion of a liquid inclusion inside a 1D microchannel filled with gas and externally heated is simulated. An incompressible formulation is used for the liquid, while a low Mach approximation is considered for the gas flow. Gas-liquid interfaces are captured using an Arbitrary Lagrangian Eulerian method. The whole liquid-gas system is shown to behave as a damped oscillator. Natural frequency of the linearized system and associated eigenmodes are first identified. Forced oscillations are investigated for different heating conditions (temperature or heat flux) at the microchannel ends. Detailed analyses are performed which reveal the main thermo-mechanical effects involved in the oscillations. The relevant parameters governing the dynamics are found out through a dimensionless analysis. Finally, heating conditions leading to non decaying oscillations of the liquid inclusion are proposed.

AB - The motion of a liquid inclusion inside a 1D microchannel filled with gas and externally heated is simulated. An incompressible formulation is used for the liquid, while a low Mach approximation is considered for the gas flow. Gas-liquid interfaces are captured using an Arbitrary Lagrangian Eulerian method. The whole liquid-gas system is shown to behave as a damped oscillator. Natural frequency of the linearized system and associated eigenmodes are first identified. Forced oscillations are investigated for different heating conditions (temperature or heat flux) at the microchannel ends. Detailed analyses are performed which reveal the main thermo-mechanical effects involved in the oscillations. The relevant parameters governing the dynamics are found out through a dimensionless analysis. Finally, heating conditions leading to non decaying oscillations of the liquid inclusion are proposed.

KW - CFD

KW - Low-Mach approximation

KW - Microfluidics

KW - Oscillations

KW - Two-phase flows

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ER -

Numerical study of liquid inclusion oscillations inside a closed 1D microchannel filled with gas

Abstract

Keywords

ASJC Scopus subject areas

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