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research-article

Liquid Slippage in Confined Flows: Effect of Periodic Micropatterns of Arbitrary Pitch and Amplitude

[+] Author and Article Information
Avinash Kumar

Department of Mechanical Engineering, Indian Institute of Technology Delhi, New Delhi, India-110016
avikr.iitk@gmail.com

Subhra Datta

Department of Mechanical Engineering, Indian Institute of Technology Delhi, New Delhi, India-110016
subhra.datta@mech.iitd.ernet.in

Dinesh Kalyanasundaram

Centre for Biomedical Engineering, Indian Institute of Technology Delhi, New Delhi, India-110016
dineshk@cbme.iitd.ac.in
dineshk.iitdelhi@gmail.com

1Corresponding author.

ASME doi:10.1115/1.4037363 History: Received June 06, 2016; Revised March 17, 2017

Abstract

The recently confirmed violation of the no-slip boundary condition in the flow of small-molecule liquids through microchannels and nanochannels has technological implications such as friction reduction. However, for significant friction reduction at low cost, the microchannel wall needs to be chemically inhomogeneous. The direct fluid dynamic consequence of this requirement is a spatial variation in the local degree of liquid slippage. In this work, the pressure-driven flow in a channel with periodically patterned slippage on the channel walls is studied using a spectrally accurate semianalytical approach based on Fourier decomposition. The method puts no restrictions on the pitch (or wavelength) and amplitude of the pattern. The predicted effective slip length in the limits of small pattern amplitude and thick channels is found to be consistent with previously published results. The effective degree of slippage decreases with the patterning amplitude. Finer microchannels and longer pattern wavelengths promote slippage.

Copyright (c) 2017 by ASME
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