纳米尺度连续介质力学：研究树木水分输运与恢复的工具
摘要
内聚力-张力理论阐述了由于叶片水分蒸发产生的负压而引起的树液上升。然而，树木提出了多重挑战，似乎生活在非物理条件下：负压增加空化；有可能在相连的部分之间达到水平衡，其中一部分处于正压而另一部分处于负压；没有理论能够令人满意地解释栓塞事件后导管的重新充注。我们提出了发表在《理论生物学杂志》上论文的理论形式以及新的结果：一个关于分离压概念的连续介质力学模型，该概念源于 Derjaguin 物理化学学派。当液体主体中压力为负而液体薄膜和蒸汽主体中压力为正时，我们比较了紧密填充微管和液体薄膜中的液体行为。在栓塞化的木质部微管中，当空气-蒸汽囊压力大于空气-蒸汽主体压力时，尽管液体主体压力仍为负，空气-蒸汽域之间会产生重新充注流以排空空气-蒸汽囊。该模型具有考虑树木最大尺寸的有效性极限。这些结果暗示分离压是研究纳米尺度范围内与基底接触的生物液体的有效工具。
引用
@article{arxiv.1706.08797,
title = {Continuum mechanics at nanoscale. A tool to study trees' watering and recovery},
author = {Henri Gouin},
journal= {arXiv preprint arXiv:1706.08797},
year = {2017}
}
备注
The paper is a review and overlap of my different papers about the watering of trees as a mathematical development of my paper in The Journal of Theoretical Biology. These results are presented together with new researches: transfer of liquid water and vapour between xylem microtubes, an explanation of ultrasounds generated in the watering network considered as sound pipes, numerical calculations of flows in thin liquid films and of Poiseuille flows in xylem microtubes, an estimation of the velocity for the ascent of crude sap and of the recovery time of trees during the spring period