Mathematical model for determining the angular irradition coefficient for calculating the heat flux density coming from a plane-shaped emitter
DOI:
https://doi.org/10.33408/2519-237X.2025.9-1.5Keywords:
fire safety spacing, geometric parameters of the flame, angular irradition coefficient, combustible roofing materials, thermal radiationAbstract
Purpose. Develop a universal mathematical model for evaluating the angular irradition coefficient, taking into account the spatial arrangement of the emitting and receiving surfaces, where the former is represented by an arbitrary polygon.
Methods. The model development was based on existing theoretical approaches in the field of radiative heat transfer, the geometry of possible mutual surface arrangements, and the results of experimental studies. Numerical methods were also employed to verify the adequacy of the analytical expressions.
Findings. Universal analytical expressions have been derived for determining the angular irradition coefficient for an emitting surface of an arbitrary polygonal shape, positioned at an arbitrary angle to the receiving surface. The developed expressions account for the individual geometric characteristics of objects and the mutual arrangement of the emitting and receiving surfaces, enhancing the accuracy of thermal impact calculations on adjacent buildings and structures.
Application field of research. Determination of fire safety spacing between buildings with gable roofs made of combustible materials, considering their spatial arrangement and geometric structural features. The model can be used for the design and fire safety assessment of buildings and structures in densely built urban and rural areas.
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