# Mathematical model for determining the configuration factor when calculating fire risks between buildings with double roofs made of combustible materials

## Authors

• Sergey M. Pastukhov Ministry of Emergency Situations of the Republic of Belarus; 220030, Belarus, Minsk, Revolyutsionnaya str., 5
• Aleksandr S. Platonov State Educational Establishment «University of Сivil Protection of the Ministry for Emergency Situations of the Republic of Belarus»; 220118, Belarus, Minsk, Mashinostroiteley str., 25
• Aleksey V. Teteryukov State Educational Establishment «University of Сivil Protection of the Ministry for Emergency Situations of the Republic of Belarus»; 220118, Belarus, Minsk, Mashinostroiteley str., 25
• Anton S. Drobysh State Educational Establishment «University of Сivil Protection of the Ministry for Emergency Situations of the Republic of Belarus»; 220118, Belarus, Minsk, Mashinostroiteley str., 25

## Keywords:

fire-break, flame’s geometrical parameters, configuration factor, combustible roofing materi-als

## Abstract

Purpose. To develop a mathematical model for estimating the configuration factor, which takes into account the triangular shape of the radiating surface and the mutual positional relationship relative to the receiving surface.

Methods. The development of equations for determining the configuration factor was based on the results of the analysis of experimental studies and existing approaches to determining the magnitude of fire gaps between buildings and structures, and Lambert's law for determining the amount of energy transmitted from the radiation to the receiving surface.

Findings. For parallel radiating and receiving surfaces, located arbitrarily relative to each other, the analytical expression is obtained that allows determining the configuration factor of an element of receiving surface by emitting surface which have the shape of an arbitrary convex polygon.

Application field of research. Determination of the fire breaks between buildings, taking into account the individual characteristics of the objects calculated – gabled roof made of combustible materials.

## Author Biographies

### Sergey M. Pastukhov, Ministry of Emergency Situations of the Republic of Belarus; 220030, Belarus, Minsk, Revolyutsionnaya str., 5

Department of Science and Innovation Development, Head of Department; PhD in Technical Sciences, Associate Professor

### Aleksandr S. Platonov, State Educational Establishment «University of Сivil Protection of the Ministry for Emergency Situations of the Republic of Belarus»; 220118, Belarus, Minsk, Mashinostroiteley str., 25

Department of Scientific and Innovation Activity, Leading Researcher; PhD in Physical and Mathematical Sciences, Associate Professor

### Aleksey V. Teteryukov, State Educational Establishment «University of Сivil Protection of the Ministry for Emergency Situations of the Republic of Belarus»; 220118, Belarus, Minsk, Mashinostroiteley str., 25

Chair of Fire Safety, Lecturer

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Pastukhov S.M., Teteryukov A.V. Metodika provedeniya eksperimental'nykh issledovaniy po opredeleniyu geometricheskikh parametrov plameni pri gorenii krovel'nykh materialov [The method of experimental researches to determine the geometric parameters of the flame during combustion of roofing materials]. Journal of Civil Protection, 2018. Vol. 2, No. 2. Pp. 176–185. (rus). DOI: https://www.doi.org/10.33408/2519-237X.2018.2-2.176.

Abstract views: 178

2021-02-23

## How to Cite

Pastukhov С. М., Platonov А. С., Teteryukov А. В. and Drobysh А. С. (2021) “Mathematical model for determining the configuration factor when calculating fire risks between buildings with double roofs made of combustible materials”, Journal of Civil Protection, 5(1), pp. 93–103. doi: 10.33408/2519-237X.2021.5-1.93.

## Section

Fire and industrial safety (technical sciences)