Capillary Filling at the Microscale: Control of Fluid Front Using Geometry

Year: 2016
Keywords: front microrheology
Authors:
  • Trejo-Soto, C.
  • Costa-Miracle, E.
  • Rodríguez-Villarreal, I.
  • Cid, J.
  • Alarcón, T.
  • Hernández-Machado, A.
Journal: PLoS One Volume: 11(4)
Number: e0153559 Pages: 18
BibTex:
Abstract:
We propose an experimental and theoretical framework for the study of capillary filling at the micro-scale. Our methodology enables us to control the fluid flow regime so that we can characterise properties of Newtonian fluids such as their viscosity. In particular, we study a viscous, non-inertial, non-Washburn regime in which the position of the fluid front increases linearly with time for the whole duration of the experiment. The operating shear-rate range of our apparatus extends over nearly two orders of magnitude. Further, we analyse the advancement of a fluid front within a microcapillary in a system of two immiscible Newtonian liquids. We observe a non-Washburn regime in which the front can accelerate or decelerate depending on the viscosity contrast between the two liquids. We then propose a theoretical model which enables us to study and explain both non-Washburn regimes. Furthermore, our theoretical model allows us to put forward ways to control the emergence of these regimes by means of geometrical parameters of the experimental set-up. Our methodology allows us to design and calibrate a micro-viscosimetre which works at constant pressure.
Full text: pone.0153559.pdf
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