Open AccessMATHEMATICAL MODELING OF HEAT TRANSMISSION THROUGH THE ENCLOSURE CONSTRUCTION
Author(s) -
A. Grazhdankin,
В Т Иванченко,
A. V. Pismenskiy
Publication year - 2020
Publication title -
vestnik bgtu im. v.g. šuhova
Language(s) - English
Resource type - Journals
ISSN - 2071-7318
DOI - 10.34031/2071-7318-2020-5-6-29-39
Subject(s) - enclosure , heat transfer , mechanics , boundary value problem , thermal , mechanical engineering , materials science , thermodynamics , computer science , mathematics , engineering , physics , mathematical analysis , telecommunications
Currently, the main direction of energy saving in mass construction is the energy efficiency of structural and space-planning solutions of buildings and structures. To evaluate the thermotechnical qualities of the enclosure, it is necessary to know the value of the heat transfer resistance and the temperature in any plane of the enclosure at given air temperatures on one and the other side of the enclosure. To understand and describe the processes of heat transfer, as well as to determine the temperature distribution inside the enclosing structures, Tabunshchikov Y.A. and Brodach M.M. derived a mathematical model of heat transfer through the enclosing structure. When considering one-dimensional heat transfer perpendicular to the wall surface at the internal borders between dissimilar materials of the building envelope, it is assumed that the temperature functions T (x) and the heat flow Q (x) are continuous. The article presents an analytical and numerical solution of a boundary value problem for stationary heat transfer through a multilayer enclosing structure, as well as a comparison of the obtained solution with the current regulatory documentation. An experimental study is conducted in the laboratory to compare the theoretical, obtained in the mathematical model of heat transfer given in the article, and the experimental temperature distribution, which shows greater convergence of the results and confirms the validity of the mathematical model.