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Effect of confinement on the deformation of microfluidic drops

Camilo Ulloa1, Alberto Ahumada2, and María Luisa Cordero1,*

  • 1Departamento de Física, Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile, Avenida Blanco Encalada 2008, Santiago, Chile
  • 2Université Paris-Est Marne-La-Vallée, 5 boulevard Descartes, 77545 Marne-La-Vallée Cedex 5, France

  • *mcordero@ing.uchile.cl
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Phys. Rev. E 89, 033004 – Published 6 March, 2014

DOI: https://doi.org/10.1103/PhysRevE.89.033004

Abstract

We study the deformation of drops squeezed between the floor and ceiling of a microchannel and subjected to a hyperbolic flow. We observe that the maximum deformation of drops depends on both the drop size and the rate of strain of the external flow and can be described with power laws with exponents 2.59±0.28 and 0.91±0.05, respectively. We develop a theoretical model to describe the deformation of squeezed drops based on the Darcy approximation for shallow geometries and the use of complex potentials. The model describes the steady-state deformation of the drops as a function of a nondimensional parameter Caδ2, where Ca is the capillary number (proportional to the strain rate and the drop size) and δ is a confinement parameter equal to the drop size divided by the channel height. For small deformations, the theoretical model predicts a linear relationship between the deformation of drops and this parameter, in good agreement with the experimental observations.

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Phys. Rev. E 89, 033004– Published 6 March, 2014
  • Received 13 November 2013

©2014 American Physical Society

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