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Controlling viscoelastic flow in microchannels with slip.

M E Bravo-Gutiérrez¹, M Castro, A Hernández-Machado

¹Departamento de Física y Química Teórica, Facultad de Química, Universidad Nacional Autónoma de México , México DF 04510, México.

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|February 17, 2011

Summary

Controlling microchannel hydrophobicity significantly alters viscoelastic fluid flow. Apparent slip dramatically changes flow magnitude and frequency response, enabling flow control.

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Area of Science:

Fluid dynamics
Microfluidics
Rheology

Background:

Viscoelastic fluid flow in microchannels is crucial for various applications.
Apparent slip at the channel wall influences flow behavior.
Dynamic pressure gradients introduce frequency-dependent effects.

Purpose of the Study:

To investigate the impact of apparent slip on viscoelastic flow under dynamic pressure gradients.
To explore the relationship between slip, driving frequency, and flow magnitude.
To demonstrate the potential for controlling microchannel flow via surface properties.

Main Methods:

Classical hydrodynamics and Navier boundary condition for apparent slip.
Analysis of viscoelastic fluids with different constitutive equations.
Calculation of flow behavior across a range of driving frequencies.

Main Results:

Viscoelastic flow magnitude changes dramatically with apparent slip value.
Flow can differ by orders of magnitude between slip and no-slip conditions.
Flow exhibits non-monotonic dependence on driving frequency, allowing significant modulation.
Slip effectively increases channel thickness in a frequency-dependent manner.

Conclusions:

Apparent slip is a critical parameter for controlling viscoelastic flow in microchannels.
Surface hydrophobicity can be leveraged to tune microfluidic flow rates.
Dynamic control of flow is achievable by adjusting driving frequency and slip.
Findings motivate experimental studies using fluids like blood and polymers.