Steady-State Nonlinear Heat and Mass Transfer in Multilayer Enclosing Structures of Buildings and Constructions

Abstract

For various canonical forms, a generalized mathematical model of a nonlinear stationary convective-molecular process of heat transfer through multilayer enclosing structures is suggested. A one-dimensional boundary value problem of heat and mass transfer processes in the multilayer enclosing is formalized, which takes into account the processes of infiltration and exfiltration of the vapor-air mixture through the multilayer enclosing, as well as the presence of positive or negative and surface heat sources. Analytical closed solutions of the boundary value problem are obtained under conditions of unambiguity. Solutions of physical processes are analyzed depending on variable or constant thermophysical characteristics, sinks or heat sources. Boundary value problems of unrelated nonlinear stationary transfer and some algorithms for their solution for various bodies of classical forms are considered. Mathematical models are formalized, analytical and approximate solutions of boundary value problems of transfer are reduced to a dimensionless criterion form, which is convenient for large-scale transitions, practical applications, formulation of optimization problems and automation of control systems. Based on the results of closed general analytical solutions of a number of applied boundary value problems of heat and mass transfer, their physical interpretation is carried out. The results obtained make it possible to use them for practical calculations in the design of enclosing structures of buildings and constructions, thermal, engineering and electrical networks, the development of construction regulations for thermal protection of buildings, as well as in the calculations of multilayer structures of industrial thermal power and mechanical engineering equipment.