TY - JOUR
T1 - Capillary filling at the microscale
T2 - Control of fluid front using geometry
AU - Trejo-Soto, C.
AU - Costa-Miracle, E.
AU - Rodriguez-Villarreal, I.
AU - Cid, J.
AU - Alarcón, T.
AU - Hernández-Machado, Aurora
N1 - Funding Information:
IRV and TA acknowledge the Spanish Ministry for Science and Innovation (MICINN) for funding MTM2011-29342 and Generalitat de Catalunya for funding under grant 2014SGR1307. AHM gratefully acknowledges partial financial support from MINECO for funding under grant FIS2013-47949-C2-1-P and DURSI for funding under grant 014SGR878. CTS acknowledges CONICYT the Chilean Ministry of Education for funding PhD fellowship, Becas Chile. HM would like to thank Rodrigo Ledesma-Aguilar for helpful discussions. IRV and TA acknowledge the Spanish Ministry for Science and Innovation (MICINN) for funding MTM2011-29342 and Generalitat de Catalunya for funding under grant 2014SGR1307. AHM gratefully acknowledges partial financial support from MINECO for funding under grant FIS2013-47949-C2-1-P and DURSI for funding under grant 2014SGR878. CTS acknowledges CONICYT the Chilean Ministry of Education for funding PhD fellowship, Becas Chile.
Publisher Copyright:
© 2016 Trejo-Soto et al. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
PY - 2016/4
Y1 - 2016/4
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84977666494&partnerID=8YFLogxK
U2 - 10.1371/journal.pone.0153559
DO - 10.1371/journal.pone.0153559
M3 - Article
C2 - 27104734
AN - SCOPUS:84977666494
VL - 11
JO - PLoS ONE
JF - PLoS ONE
SN - 1932-6203
IS - 4
M1 - e0153559
ER -