Abstract

The results of a theoretical study of the influence of crack development in the enclosing structures of residential buildings on their air permeability are presented. The mathematical model of infiltration of air through a crack passing in an arbitrary direction in the enclosing structure is considered in the article. The air motion for the reduced flow diagram of a continuous medium is described by the Navier-Stokes equations. The solution of the equation is obtained using the Galerkin method. With regard to thin layers of the air environment, assumptions are made that make it possible to compile a system of equations, including the equations of dynamics and the continuity equation. A solution is obtained that allows to determine the consumption characteristics of outdoor air passing through a through crack in the enclosing structure taking into account its linear dimensions and the excess pressure.

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