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Growth of clogs in parallel microchannels

Alban Sauret1,2, Katarzyna Somszor3, Emmanuel Villermaux4,5,6, and Emilie Dressaire1,3,7,*

  • 1Department of Mechanical Engineering, University of California, Santa Barbara, California, USA
  • 2Surface du Verre et Interfaces, UMR 125, CNRS/Saint-Gobain, Aubervilliers, France
  • 3Department of Mechanical and Aerospace Engineering, NYU Tandon School of Engineering, Brooklyn, New York, USA
  • 4Aix-Marseille Université, CNRS, Centrale Marseille, IRPHE, Marseille, France
  • 5Institut Universitaire de France, Paris, France
  • 6CNRS/MIT/AMU Joint Laboratory MultiScale Materials Science for Energy and Environment, MIT Energy Initiative, Massachusetts Institute of Technology, Cambridge, Massachusetts, USA
  • 7FAST, UMR 7608, Université Paris-Sud, CNRS, Université Paris-Saclay, Orsay, France

  • *emilie.dressaire@u-psud.fr

Phys. Rev. Fluids 3, 104301 – Published 1 October, 2018

DOI: https://doi.org/10.1103/PhysRevFluids.3.104301

Abstract

During the transport of colloidal suspensions in microchannels, the deposition of particles can lead to the formation of clogs, typically at constrictions. Once a clog is formed in a microchannel, advected particles form an aggregate upstream from the site of the blockage. This aggregate grows over time, which leads to a dramatic reduction of the flow rate. In this paper, we present a model that predicts the growth of the aggregate formed upon clogging of a microchannel. We develop an analytical description that captures the time evolution of the volume of the aggregate, as confirmed by experiments performed using a pressure-driven suspension flow in a microfluidic device. We show that the growth of the aggregate increases the hydraulic resistance in the channel and leads to a drop in the flow rate of the suspensions. We then derive a model for the growth of aggregates in multiple parallel microchannels where the clogging events are described using a stochastic approach. The aggregate growths in the different channels are coupled. Our work illustrates the critical influence of clogging events on the evolution of the flow rate in microchannels. The coupled dynamics of the aggregates described here for parallel channels is key to bridge clogging at the pore scale with macroscopic observations of the flow rate evolution at the filter scale.

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