Research On The Mechanical Modeling And Analysis Of Water Conveyance System Of Plants

In the process of plant growth,development and maturity,the content of physiological activities is very rich,among which the most important and fundamental is the water cycle in the body;It is a typical three in one continuous system(SPAC)in the sky.On the basis of extensive investigation and consulting data,this paper mainly studies the following subproblems of the above SPAC system from the perspective of mathematical analysis,including qualitative description and superficial quantitative modeling.This paper analyzes and introduces the significance and background of the topic,especially the role of plants in nature and the role of water in plant metabolism.It also summarizes some representative research papers at home and abroad on the characteristics of plant water delivery system,and understands their research status and progress;On this basis,some research ideas and methods are put forward.This paper introduces the physical and chemical definition and calculation method of water potential,and other calculation problems of capillary force and osmotic pressure that affect water flow and balance.Based on the principle of hydraulics,the influence of the perforation on the pressure drop of water flow is analyzed,and the calculation formula of the pressure drop is given.Based on the principle of thermodynamics and concentration diffusion,the water potential is compared to temperature and concentration.A three-dimensional mathematical model of water potential diffusion is established for plant cell line arrangement and plant root system,and the process and steps of mathematical analysis are given.According to the physiological characteristics of plant stomatal opening in daytime,the leaf water evaporation is assumed to be a water evaporation model of open and closed containers.The influencing factors of the evaporation are analyzed,and some theoretical analysis and explanation are given.Due to the fuzziness of many uncontrollable factors such as the shape and thickness of the conduit,in order to avoid this deficiency,this paper uses the principle of water potential diffusion to put forward a mathematical model of conduit water delivery,and sums up the above uncontrollable factors into the water potential conductivity coefficient,which not only makes the modeling easy,the model simple,but also has a clear physical meaning.