Mathematical and Experimental Investigation of Water Migration in Plant Xylem  

作　　者：Jiaju Hong Sheng Liu Paul Glover Shenyi Wu Yuying Yan 

机构地区：[1]Fluids & Thermal Engineering Group, Faculty of Engineering, University of Nottingham, Nottingham NG7 2RD, UK [2]Marine Engineering College, Dalian Maritime University, Dalian 116026, China [3]College of Mechanical and Electrical Engineering, Hohai University, Changzhou 213022, China [4]School of Physics, University of Nottingham, Nottingham NG7 2RD, UK [5]Fluids & Thermal Engineering Research Centre, University of Nottingham Ningbo, Ningbo 315100, China

出　　处：《Journal of Bionic Engineering》2017年第4期622-630,共9页仿生工程学报（英文版）

摘　　要：Plant can take water from soil up to several metres high. However, the mechanism of how water rises against gravity is still controversially discussed despite a few mechanisms have been proposed. Also, there still lacks of a critical transportation model because of the diversity and complex xylem structure of plants. This paper mainly focuses on the water transport process within xylem and a mathematical model is presented. With a simplified micro channel from xylem structure and the calculation using the model of water migration in xylem, this paper identified the relationship between various forces and water migration velocity. The velocity of water migration within the plant stem is considered as detail as possible using all major forces involved, and a full mathmetical model is proposed to calculate and predict the velocity of water migration in plants. Using details of a specific plant, the velocity of water migration in the plant can be calculated, and then compared to the experimental result from Magnetic Resonance Imaging （MRI）. The two results match perfectly to each other, indicating the accuracy of the mathematical model, thus the mathematical model should have brighter furore in further applications.Plant can take water from soil up to several metres high. However, the mechanism of how water rises against gravity is still controversially discussed despite a few mechanisms have been proposed. Also, there still lacks of a critical transportation model because of the diversity and complex xylem structure of plants. This paper mainly focuses on the water transport process within xylem and a mathematical model is presented. With a simplified micro channel from xylem structure and the calculation using the model of water migration in xylem, this paper identified the relationship between various forces and water migration velocity. The velocity of water migration within the plant stem is considered as detail as possible using all major forces involved, and a full mathmetical model is proposed to calculate and predict the velocity of water migration in plants. Using details of a specific plant, the velocity of water migration in the plant can be calculated, and then compared to the experimental result from Magnetic Resonance Imaging （MRI）. The two results match perfectly to each other, indicating the accuracy of the mathematical model, thus the mathematical model should have brighter furore in further applications.

关 键 词：plant water migration mathematical model MRI BIONIC 

分 类 号：O141.4[理学—数学] P642.14[理学—基础数学]