植物管胞纹孔流体力学建模与流阻特性数值模拟
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国家自然科学基金项目(30771247、51275470、61374094)和浙江省高等学校中青年学科带头人学术攀登项目(pd2013019)


Hydrodynamics Modeling and Flow Resistance Characteristics Simulation of Plant Tracheid Pit
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    摘要:

    植物管胞的输水率与水分在纹孔中的流动特性和规律紧密相关。为研究不同纹孔结构对流动阻力特性的影响,采用流体建模和数值模拟的方法,对带纹孔塞具缘纹孔建立了伯努利流体动力学模型,讨论了纹孔各结构参数与纹孔总流阻系数之间的关系。采用低雷诺数k—ε模型以及多孔介质模型,对不同结构的具缘纹孔水分流动进行数值模拟和分析,在此基础上,利用伯努利方程求解相应的流阻系数。结果表明,塞缘的流阻最大,占纹孔总流阻的74.7%,纹孔塞占16.8%,纹孔缘占8.5%。纹孔的流阻系数与纹孔直径、纹孔口直径、纹孔深度、塞缘微孔直径和孔隙率成反比,与纹孔塞直径、纹孔膜厚度成正比。纹孔塞起到控制水分流动的作用,随着纹孔塞偏离中心位置变大,纹孔的流动阻力先减小、后增大,纹孔塞越靠近纹孔口时,纹孔流动阻力越大。

    Abstract:

    The conductivity of tracheid is closely related to the flow characteristics of water through the pit. The aim was to investigate flow resistance characteristics of border pits with different structures. The Bernoulli mathematical model of the torus-margo border pit was established based on the energy conservation law. According to the obtained mathematical model, the geometrical structures of pit, such as the pit diameter, aperture diameter, torus diameter, pore diameter and porosity of margo, were the main factors that affected the pit flow resistance characteristics. The flow through the pit was simulated with CFD software package Fluent 6.3, the pit margo was worked as porous medium, and the turbulent structure was modeled by low Re k—ε model. In the simulation, the influences of various pit structures on flow distribution in the pit were studied and analyzed. Resistance of pits were varied with morphology as predicted, the pit flow resistance was inversely proportional to pit diameter, aperture diameter, pit depth and margo pore size, and the pit flow resistance was proportional to torus size and margo thickness. The results supported the hypothesis of valve effect of the pit torus, when the distance between torus and center position was increased, pit flow resistance was decreased at the beginning,and then it was increased, the pit flow resistance was increased with decrease of distance between margo and pit aperture. The research results provided theoretical basis for further study on the hydrodynamic characteristics of plant conduits.

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陈琦,胥芳,艾青林,张立彬.植物管胞纹孔流体力学建模与流阻特性数值模拟[J].农业机械学报,2016,47(6):303-310.

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  • 收稿日期:2015-12-30
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  • 在线发布日期: 2016-06-10
  • 出版日期: 2016-06-10