植物导水模型初探

Primary analysis of plant water transportation model

目前世界上对于植物长距离水分运输的微观机理假说存在争论。据此本文初步讨论了植物的导水模型。从流体力学角度讨论了水分在植物体内的运动状态,得出导管中的水分流动是在层流的状态下进行,且必须考虑粘性的作用;通过分析流体的层流运动,建立了导管中一维的流体模型,并简化导管以连续的梯形圆柱排列;分析受力,列出N-S方程,并求解出了一维导管模型的半径与压力梯度和各节管长的关系表达式。研究结果表明,模型中每一节导管的水受力都是平衡的,且各节之间相互独立。

In this paper,the plant water movement primary model is discussed.From fluid mechanics perspective,the state of water movement in plants is obtained,and the role of viscosity is taken into account.By analyzing the laminar flow of fluid movement,one-dimensional ducting fluid model is established,and the vessel tube with a continuous trapezoidal cylinder arrangement is simulated,the forces are analyzed,and solution of a one-dimensional model of the relationship between the radius of the vessel tube with the pressure gradient and the section of the tube length is given out.In the model,the forces of water in each section of xylem are balance and independent.