What is it about?

In this work, the analytical solution of flow across rectangular microchannels subject to oscillatory pressure gradients exhibits a complex behavior caused by the fluid dynamics along the smallest and the secondary confinement dimensions. For Newtonian fluids, the maximum and average flow velocities within the microchannel differ considerably from the ones predicted by simplified one-dimensional models when fluids are subject to moderate and high driving force frequencies. For Maxwellian fluids, the secondary confinement incorporates flow resonances which are coupled to the ones caused by the smallest confinement, leading to a shift of the main resonance and the arising of resonances when bidimensional 22 vibration modes are excited.

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Why is it important?

Analytical expressions allow for inexpensive computational implementation, that could improve the simulation of geometrically realistic conditions in a wide range of microfluidic experiments involving rectangular section areas. The exact analytical result is in agreement with recent experimental findings in the literature.


This work provides a basis for combined theoretical/experimental studies devoted to detecting and understanding the multiple resonances encountered in viscoelastic microfliidics.

Ulises Torres-Herrera
Universidad Nacional Autonoma de Mexico

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This page is a summary of: Dynamic permeability of fluids in rectangular and square microchannels: Shift and coupling of viscoelastic bidimensional resonances, Physics of Fluids, January 2021, American Institute of Physics, DOI: 10.1063/5.0038099.
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