Model of influence of landscape vegetation on mass transfer processes

Keywords: pollution, soil erosion, porous environment structure, two-phase wind


The problem of mass transfer of landscape is an important and urgent problem which has actively been elaborated during the last several decades. In particular, the problem of interaction between two-phase wind flow and landscape vegetation is a key to understanding the evolution of landscape morphology, pollution distribution and soil erosion. In this context the mathematical modeling of mass transfer processes within complex environments is an advanced tool necessary for better understanding of environmental processes. In this article, a mathematical model describing the processes of mass transfer on an inhomogeneous surface in a porous environment has been developed and theoretically investigated. The mechanical impact of boundary surfaces and porous environment structure on a mass transfer process has been considered and included into the model. The mass source function adapted to the specific inhomogeneous domain has been developed and investigated. In this paper we develop a formal framework to reflect correctly the problem of landscape mass transfer within the vegetation by incorporating it into a formal system with a reduced number of dependent variables and simplified boundary conditions. We develop a mathematical model of mass transfer process realized on an inhomogeneous boundary surface. The mechanical impact of boundary surface on the mass transfer process has been considered and taken into account. The mechanical impact of porous environment structure on mass transfer process has also been considered and taken into account. The substance source function has been developed here. 


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