Wall-triggered interfacial resonance in laminar gas-liquid flow

Laminar gas-liquid flow through a channel with corrugated bottom, driven by a combination of gravity and pressure drop, is considered. A linear analysis, valid for small-amplitude disturbances but arbitrary wavelength and Re number, leads to Orr-Sommerfeld type equations with nonhomogeneous boundary...

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Bibliographic Details
Published in:International journal of multiphase flow 1998-02, Vol.24 (1), p.131-143
Main Authors: Bontozoglou, V., Papapolymerou, G.
Format: Article
Language:English
Subjects:
Boundary conditions
Channel flow
Exact sciences and technology
Flows in ducts, channels, nozzles, and conduits
Fluid dynamics
Fundamental areas of phenomenology (including applications)
gas-liquid separated flow
Gravitation
Interfaces (materials)
interfacial resonance
Laminar flow
linear analysis
Linear equations
Multiphase and particle-laden flows
Nonhomogeneous flows
Numerical analysis
Physics
Pressure drop
Resonance
wall corrugations
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Summary:Laminar gas-liquid flow through a channel with corrugated bottom, driven by a combination of gravity and pressure drop, is considered. A linear analysis, valid for small-amplitude disturbances but arbitrary wavelength and Re number, leads to Orr-Sommerfeld type equations with nonhomogeneous boundary conditions. The interface amplitude relative to the wall is examined and linearly infinite amplification is computed at specific resonance conditions. With increasing gas velocity, the range of corrugation wavelengths most active in producing strong interaction with the interface expands considerably, and moves to higher values. It is argued that the resonant phenomenon under consideration may influence the interfacial dynamics of gas-liquid flows in small-scale passages.
ISSN:0301-9322
1879-3533
DOI:10.1016/S0301-9322(97)00036-0