Water movement in melting snow

Abstract

The mathematical model of water movement in melting snow is studied in neglect of deformation of the porous medium. As the mathematical model of the problem, the mass conservation equations for water, air and stationary porous skeleton of snow are used along with an analogue of Darcy’s law for water and air. Water and air are considered to be individual phases with its own filtration rate determined in solving the problem. This assumption allows constructing the closed model. The numerical test calculations are carried out. The mathematical model under study is verified using experimental data.