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Corrigendum: Static response of deformable microchannels: a comparative modelling study (2018<i>J. Phys.: Condens. Matter</i>20 054002).

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Static response of deformable microchannels: a comparative modelling study.

Tanmay C Shidhore1, Ivan C Christov1

  • 1School of Mechanical Engineering, Purdue University, West Lafayette, IN 47907, United States of America.

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|December 16, 2017
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Summary

This study models fluid-structure interactions in microchannels, validating theoretical models against simulations and experiments for flow rate and wall deformation. The findings confirm theoretical predictions for microchannel behavior under varying conditions.

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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.