The mechanics of poro-elastic capillary flow

液体吸收到纸巾中是一个复杂的过程：它涉及多孔和弹性网络中的表面张力驱动的流动，当与液体接触时，多孔和弹性网络膨胀和变形。毛细管中表面张力驱动流动的分析可以追溯到一个世纪卢卡斯和沃什伯恩关于毛细管上升的工作。虽然早期的工作主要集中在毛细力平衡粘性力的制度，如果孔壁（或多孔介质）是柔性的，那么弹性力的产生是由于孔隙的变形。弹性毛细上升的动力学最近才被探索，它已被证明，对于足够灵活的渠道，流体渗透相比，刚性通道延迟。在纸巾中，层不仅是弹性的，而且是多孔的，因此我们建议在这里扩展最近的工作onelasto-capillary流包括多孔壁。我们的目的是确定表面张力，弹性和孔隙率的相对重要性，在长度和时间尺度上，这是相关的纸巾和组织的吸收，努力提高这些产品的性能。

Absorption of liquid into paper towel is a complex process: it involves a surface tension driven flow in aporous and elastic network that swells and deforms when in contact with liquid. Analysis of surface tensiondriven flow in a capillary dates back a century to the work of Lucas and Washburn on capillary rise. Whileearly work on capillary driven flow focused primarily on the regime where capillary forces balance viscousforces, if the walls of the pore (or of the porous media) are flexible then elastic forces arise due to thedeformation of the pore. The dynamics of elasto-capillary rise have only recently been explored, and it has beenshown that for sufficiently flexible channels the fluid penetration is retarded compared to rigid channels. Inpaper towel, plies are not only elastic, but also porous and so we propose here to extend recent work onelasto-capillary flow to include porous walls. We aim to determine the relative importance of surface tension,elasticity and porosity over length and time scales which are relevant to paper towel and tissue absorption in aneffort to improve the performance of these products.