Modeling capillary forces for large displacements
article
Originally applied to the accurate, passive positioning of submillimetric devices, recent works proved capillary self-alignment as effective also for larger components and relatively large initial offsets. In this paper, we describe an analytic quasi-static model of 1D capillary
restoring forces that generalizes existing geometrical models and extends the validity to large displacements from equilibrium. The piece-wise nature of the model accounts for contact line unpinning singularities ensuing from large perturbations of the liquid meniscus and dewetting
of the bounding surfaces. The superior accuracy of the generalized model across the extended displacement range, and particularly beyond the elastic regime as compared to purely elastic models, is supported by finite element simulations and recent experimental evidence. Limits
of the model are discussed in relation to the aspect ratio of the meniscus, contact angle hysteresis, tilting and selfalignment dynamics.
restoring forces that generalizes existing geometrical models and extends the validity to large displacements from equilibrium. The piece-wise nature of the model accounts for contact line unpinning singularities ensuing from large perturbations of the liquid meniscus and dewetting
of the bounding surfaces. The superior accuracy of the generalized model across the extended displacement range, and particularly beyond the elastic regime as compared to purely elastic models, is supported by finite element simulations and recent experimental evidence. Limits
of the model are discussed in relation to the aspect ratio of the meniscus, contact angle hysteresis, tilting and selfalignment dynamics.
TNO Identifier
520132
ISSN
16134990
Source
Microfluid Nanofluid, 18(4), pp. 695-708.
Publisher
Springer
Collation
14 p.
Pages
695-708
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