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The article presents theoretical studies of filtration transport of moisture through capillaries of woody plants that is determined by humidity gradients. The emerging humidity fields and the magnitude of the gradients significantly affect the growth and development of woody plants biomass. The aim of theoretical research was to use mathematical tools of operational calculus that provide an opportunity to consider the filtration of moisture through the capillaries of wood materials using a third-kind boundary condition, when the substance is exchanged with the environment at the considered boundary. As a result of the use of Laplace transform a mathematical model for studying the movement of moisture in the capillaries of woody vegetation through filtration transport has been obtained. Modelling of a moisture transport process in wood materials is an important tool in theoretical and experimental studies. This is particularly important for conducting long-term experimental studies of the site quality of stand of trees from the technogenic impact of vehicles on roadside ecological systems.

Theoretical studies of filtration movement of moisture in capillaries of woody plants