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植物导管中穿孔板的流体力学建模与流阻分析

Fluid Mechanics Modeling and Flow Resistance Analysis of Perforation Plates in the Vessels of Vascular Plants

  • 摘要: 为研究植物木质部导管中穿孔板的几何结构对于水分传输的影响问题,建立不同类型穿孔板的模型,该研究结合伯努利方程,采用计算流体力学的方法,对带有不同几何结构穿孔板的导管的内部流场进行数值模拟,分析导管两端压降、水力传导率和穿孔板的当量长度与穿孔板的类型、等效面积比、孔数、倾斜角度和导管的内径之间的关系。结果表明,对于特定的穿孔板模型,当其他参数一致时,相比于单穿孔板,买麻藤状穿孔板的当量长度大15.01%,导管两端压降高3.92%;网状穿孔板的当量长度大112.76%,导管两端压降高29.43%;梯状穿孔板的当量长度大148.70%,导管两端压降高38.81%;麻黄状穿孔板的当量长度大205.70%,导管两端压降高53.68%。对于这5种类型的穿孔板,更大的等效面积比、更多的孔数、更小的倾斜角和更大的导管内径,意味着导管两端压降更大,穿孔板的当量长度更大。当穿孔板的孔数一定,其他参数一致时,导管的水力传导率与导管内径成正比,穿孔板所在导管的水力传导率由大到小顺序为:无穿孔板、单穿孔板、买麻藤状穿孔板、网状穿孔板、梯状穿孔板、麻黄状穿孔板。本研究成果为深入研究植物木质部水分传输特性提供理论依据。

     

    Abstract: In order to study the influence of the geometric structure of the perforated plate in plant xylem ducts on water transmission, the models of different types of perforated plates were established, combined with Bernoulli equation, and the method of computational fluid dynamics was used for the ducts with different geometric structures of perforated plates. The internal flow field was numerically simulated. The relationship between the pressure drop at both ends of the catheter, the hydraulic conductivity and the equivalent length of the perforated plate, and the perforation type, equivalent area ratio, number of holes, inclination angle and the inner diameter of the perforated plate were analyzed. The results showed that, for a specific perforated plate model, when other parameters were the same, compared with a simple perforation plate, the equivalent length of the gnetum type perforation plate increased by 15.01%, and the pressure drop at both ends of the catheter increased by 3.92%. The equivalent length of the reticulate perforation plate increased by 112.76%, and the pressure drop at both ends of the duct increased by 29.43%. The equivalent length of the scalariform perforation plate increased by 148.70%, and the pressure drop at both ends of the duct increased by 38.81%. The equivalent length of the ephedroid perforation plate increased by 205.70%, and the pressure drop at both ends of the catheter increased by 53.68%. For these 5 types of perforated plates, larger equivalent area ratio, more holes, smaller angle of inclination and larger pipe diameter meant that the pipe ends had greater pressure drop and perforated plates had a larger equivalent length. When the number of holes in the perforated plate was constant and other parameters were the same, the hydraulic conductivity of the duct was proportional to the inner diameter of the duct. The hydraulic conductivity of the duct where the perforated plate was located obeys the following order(from big to the small): non-perforated plate, simple perforated plate, gnetum type perforated plate, reticulate perforated plate, scalariform perforated plate, ephedroid perforated plate. The research results provided a theoretical basis for in-depth study of plant xylem water transport characteristics.

     

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