Modelling Capillary Rise In The Vascular Tissue of Plants

Abstract

In this work, an analysis of the mathematical aspects of capillary rise is considered. Derivation of the governing equation from fundamental continuum mechanics equations is provided. Moreover, alternative initial conditions are suggested and it is proved that there exists a unique solution. Additionally, the stationary point is determined and it is shown that the stationary state can be either monotonically or oscillatory approached, which is verified by numerical analysis. Our model is compared with available experimental data and the results are observed to be in good agreement.