Abstract
When a wetting liquid contacts a capillary tube or porous medium, it spontaneously penetrates the pore space driven by capillary pressure. This phenomenon is called capillary-driven flow, or spontaneous imbibition. For microchannels with diameters of a few nanometers the capillarity is remarkable, and the study of capillary-driven flow in nanoporous media has received great interest in a variety of fields. In this chapter, mathematical models for capillary-driven flow in capillary tubes and materials with nanopores are presented by an analytical approach. The optimization of capillarity in engineered and environmental architectures with nanoscale pore structure is theoretically discussed and modeled.
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