Static response of deformable microchannels: a comparative modelling study.

Area of Science:

• Fluid dynamics
• Solid mechanics
• Microfluidics

Background:

• Microfluidic devices often involve deformable components, influencing fluid flow.
• Understanding fluid-structure interactions (FSI) is crucial for microchannel design and performance.
• Previous experimental characterization provides benchmarks for theoretical models.

Purpose of the Study:

• To develop and validate mathematical models for fluid-structure interactions in microchannels.
• To investigate the flow rate-pressure drop relationship in microchannels with deformable walls.
• To compare theoretical predictions with numerical simulations and experimental data.

Main Methods:

• Mathematical modeling using plate theory and lubrication approximation for low-Reynolds-number flow.
• Derivation of flow rate-pressure drop relations for microchannels with thin and thick deformable walls.
• Three-dimensional, two-way-coupled fluid-structure interaction simulations.
• Comparison with experimental data from three microchannels with different elasticity regimes.

Main Results:

• Models accurately predict the flow rate-pressure drop relationship for microchannels.
• Numerical simulations show good agreement with theoretical predictions for wall deformation profiles.
• The decoupling of span-wise displacement from flow-wise deformation was confirmed.
• Scaling laws for maximum wall displacement were validated against simulations and theory.

Conclusions:

• The developed models provide reliable predictions for FSI in microchannels.
• The study validates theoretical approaches against advanced simulations and experimental data.
• Findings contribute to the accurate design and optimization of microfluidic systems with deformable boundaries.