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Fabrication, Operation and Flow Visualization in Surface-acoustic-wave-driven Acoustic-counterflow Microfluidics

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Steady two-layer flow in narrow channels of variable width.

Roger E Khayat¹, Guowen Tian

¹Department of Mechanical and Materials Engineering, The University of Western Ontario, London, Ontario, Canada N6A 5B9.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|June 13, 2009

Summary

This summary is machine-generated.

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Investigating two-layered creeping flow in channels with variable topography reveals how viscosity ratio influences interface shape and pressure. Channel geometry significantly impacts pressure buildup, but pressure distribution remains largely consistent.

Area of Science:

Fluid dynamics
Rheology
Multiphase flow

Background:

Two-layered fluid flow in confined geometries is relevant to microfluidics and lubrication.
Understanding interface dynamics and pressure variations is crucial for controlling microscale processes.

Purpose of the Study:

To analyze the interface shape and pressure buildup in a two-layered creeping flow within a narrow channel of variable topography.
To investigate the influence of the viscosity ratio (R_micro) and channel topography on flow behavior, excluding interfacial tension and gravity.

Main Methods:

Simulating steady, two-dimensional, creeping flow of two immiscible fluids.
Employing lubrication flow theory, driven by the translation of a lower flat plate.
Analyzing the effects of varying channel topography and viscosity ratio (R_micro).

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Last Updated: Jun 22, 2026

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Main Results:

In contracting channels and low R_micro, pressure initially rises monotonically with R_micro, peaks, then declines.
The interface level consistently increases monotonically with R_micro.
Channel topography induces significant pressure buildup and interface modulation.

Conclusions:

Channel geometry plays a critical role in pressure generation within two-layered creeping flow.
While the interface shape is modulated by channel topography, the overall pressure distribution remains qualitatively similar.
The viscosity ratio is a key parameter governing pressure and interface dynamics in this system.