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• W2331193068 abstract "The inverse problem of capillary filling, as defined in this work, consists in determining the capillary radius profile from experimental data of the meniscus position l as a function of time t. This problem is central in diverse applications, such as the characterization of nanopore arrays or the design of passive transport in microfluidics; it is mathematically ill posed and has multiple solutions; i.e., capillaries with different geometries may produce the same imbibition kinematics. Here a suitable approach is proposed to solve this problem, which is based on measuring the imbibition kinematics in both tube directions. Capillary filling experiments to validate the calculation were made in a wide range of length scales: glass capillaries with a radius of around 150 μm and anodized alumina membranes with a pores radius of around 30 nm were used. The proposed method was successful in identifying the radius profile in both systems. Fundamental aspects also emerge in this study, notably the fact that the l(t)∝t1/2 kinematics (Lucas-Washburn relation) is not exclusive of uniform cross-sectional capillaries." @default.
• W2331193068 created "2016-06-24" @default.
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• W2331193068 date "2014-04-04" @default.
• W2331193068 modified "2023-10-07" @default.
• W2331193068 title "Inverse Problem of Capillary Filling" @default.
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• W2331193068 doi "https://doi.org/10.1103/physrevlett.112.134502" @default.
• W2331193068 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/24745427" @default.
• W2331193068 hasPublicationYear "2014" @default.
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