Abstract

Radiative heat transfer is the most effective mechanism of energy transport inside buildings. One of the methods capable of computing the radiative heat transport is based on the system of algebraic equations. The algebraic method has been initially developed by mechanical engineers for wide range of thermal engineering problems. The first part of the present serial paper describes the basic features of the algebraic model and illustrates its applicability in the field of building physics. The computations of radiative heat transfer both in building enclosures and also in open building envelopes are discussed and their differences explained. The present paper serves as a preparation stage for the development of a more general model evaluating heat losses of buildings. The general model comprises both the radiative and convective heat transfers and is presented in the second part of this serial contribution.

Highlights

  • Heat radiation represents a dominant transfer mechanism of heat energy inside buildings

  • The pioneering work in the field of algebraic models can be ascribed to Hottel [1], who introduced the concept of the total-view factor Fij

  • In the first computational step, the matrix of view factors is formed on the basis of the graphs or formulae published in the technical literature and by means of the three auxiliary rules termed as the symmetry rule (Eq 3), the zero rule (Eq 4) and the summation rule (Eq 5)

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Summary

Introduction

Heat radiation represents a dominant transfer mechanism of heat energy inside buildings. As has been mentioned above, the radiative heat transfer is the most effective mechanism of energy transport as compared to the free convection or conduction. This fact has been verified many times both theoretically and experimentally. Like with walls, heat is transferred by convection and radiation in the vicinity of the internal and external sides of windows, but inside the glass panes, solely by conduction. When the windows are double or triple glazed, the cavities between glass panes filled with an inert gas represent a narrow space where the heat is transferred by convection, radiation and often the conduction may participate as well.

Basics of radiosity method
Algebraic equations of radiative heat transfer
Radiosity
Heat flux of absolutely black surface
Energy exchange between couples of surfaces
Application of radiosity method
Application to enclosure
Matrix of heat exchange
Application to quasi- enclosure
Application to regularly open envelope
Findings
Conclusions

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