Abstract
Basic equations of plant system (leaf-stem-root) have been developed from a view point of fluid mechanics based on the bio-meteoro-hydrological process. From these equations, the characteristics of transient response of plant for the water movement have been investigated both analytically and numerically.1) From a mathematical analysis of the linearized plant-system equations, the lag between transpiration and water flux in stem and lag between water flux in stem and water uptake by roots shown to be governed respectively by one nondimensional parameter which is composed of physical constants of plant2) A nonlinear numerical simulation suggests that lag between transpiration and water uptake by roots is extremely delayed when plant is under the ‘ water stress’ condition, while under ordinary condition, plant shows the response as given by the linearized analysis.
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