In the framework of an integral mathematical model of initial fire stage in a building the differential equation for toxic gases’ volume-averaged density has been considered. Representations for toxic gases’ density increment in the vicinity of initial instant have been found, and estimates for this increment have been given.
dangerous fire factors, integral fire model, fire initial stage, differential equation, toxic gases’ volume-averaged density
1. Available at: https://www.complex-safety.com/about/news/statistika-mchs-rossii-po-itogam-2019-goda-doklad-o-narusheniyakh-obyazatelnykh-trebovaniy-pb/ (accessed 16 November 2020). (in Russian).
2. Kolodjazhnyj S.A., Pereslavceva I.I. Matematicheskoe modelirovanie dinamiki osnovnyh opasnyh faktorov v nachal'noj stadii pozhara [Mathematical modeling of the dynamics of the main hazardous factors in the initial stage of a fire]. Izvestija KGASU, Matematicheskoe modelirovanie, chis-lennye metody i kompleksy programm (v stroitel'stve) [Izvestia KGASU, Mathematical modeling, numerical methods and program complexes (in construction)]. 2014, I. 4 (30), pp. 403-412. (in Russian).
3. Koshmarov Ju.A. Prognozirovanie opasnyh faktorov pozhara v pomeshhenii [Prediction of hazardous factors of fire in a room]. Moscow: Akademija GPS MVD Rossii Publ., 2000. 118 p. (in Russian).
4. Pereslavceva I.I., Jaremenko S.A. Jeksperimental'nye issledovanija vremeni jevakuacii grupp ljudej po lest-nichnym kletkam zdanij i sooruzhenij [Experimental studies of the time of evacuation of groups of people along the stairwells of buildings and structures]. Vestnik grazhdanskih inzhenerov [Bulletin of civil engineers]. 2013, I. 5 (40), pp. 122-126. (in Russian).
5. Koshmarov Ju.A. Razvitie pozhara v pomeshhenii. Sb. nauch. tr. VNIIPO MVD SSSR Gorenie i problemy tushenija pozharov [Indoor fire development. Sat. scientific. tr. VNIIPO USSR Ministry of Internal Affairs Combustion and fire extinguishing problems]. Moscow: VNIIPO MVD SSSR Publ., 1977. 253 p. (in Russian).
6. Zotov Ju.S. Process zadymlenija pomeshhenij pri pozhare i razrabotka metoda raschjota neobho-dimogo vremeni jevakuacii ljudej. Kand. Diss [The process of smoke pollution of premises during a fire and the devel-opment of a method for calculating the required time for evacuation of people. Cand. Diss]. Moscow, 1989. 277 p. (in Russian).
7. Zotov S.V., Gutov V.N., Geras'kov G.V. Raschet parametrov pozhara v pomeshhenii s ogranichennym gazoobmenom [Calculation of fire parameters in a room with limited gas exchange]. Sistemnoe issledovanie pozharov i organizacionnye problemy pozharnoj bezopasnosti [Systemic study of fires and organizational problems of fire safety]. Moscow: VNIIPO Publ., 1988, pp. 56-66. (in Russian).
8. Matjushin A.V., Matjushin Ju.A. Integral'nyj metod raschjota neobhodimogo vremeni jevakuacii ljudej iz pomeshhenija pri pozhare [An integral method for calculating the required time to evacuate people from the premises in case of fire]. Moscow: Pozharnaja bezopasnost' Publ., I. 2, 2002, pp. 126-132. (in Russian).
9. Merkushkina T.G. Obosnovanie i metod rascheta prodolzhitel'nosti jevakuacii ljudej iz tentovyh sooruzhenij v uslovijah pozhara. Kand. Diss [Substantiation and method of calculating the duration of evacuation of people from awning structures in a fire. Cand. Diss]. Moscow, 1978. 115 p. (in Russian).
10. Merkushkina T.G., Zotov Ju.S. Opredelenie kriticheskogo urovnja zadymlennosti [Determination of the crit-ical level of smoke]. Bez-opasnost' ljudej pri pozharah [Safety of people in case of fires]. Moscow: VNIIPO Publ., 1984, pp. 85-91. (in Russian).
11. Merkushkina T.G., Zotov Ju.S. Izmenenie gazovogo sostava v pomeshhenii s estestvennym gazo-obmenom na nachal'noj stadii pozhara [Change in gas composition in a room with natural gas exchange at the initial stage of a fire]. Bezopasnost' ljudej pri pozharah [Safety of people in case of fires]. Moscow: VNIIPO Publ., 1986, pp. 50-54. (in Russian).
12. Koshmarov Ju.A., Astapenko V.M., Shevljakov A.N., Zernov S.I. Jeksperimental'noe issledovanie processa razvitija pozhara v pomeshhenii. Pozharnaja profilaktika [Experimental study of the development of a fire in a room. Fire prevention.]. VNIIPO MVD SSSR Publ., 1983, pp. 5-54. (in Russian).
13. Molchadskij I.S., Zernov S.I. Opredelenie prodolzhitel'nosti nachal'noj stadii pozhara. Pozharnaja profil-aktika [Determination of the duration of the initial stage of the fire. Fire prevention]. VNIIPO MVD SSSR Publ. Moscow: 1981, pp. 26-45. (in Russian).
14. Rubcov V.V. Dinamika opasnyh faktorov pozhara i raschjot kriticheskoj prodolzhitel'nosti pozhara v pro-izvodstvennyh pomeshhenijah. Kand. Diss [Dynamics of hazardous factors of fire and calculation of the critical duration of a fire in industrial premises. Cand. Diss]. Moscow: 1998. 203 p. (in Russian).
15. Koshmarov Ju.A., Rubcov V.V. Processy narastanija OFP v proizvodstvennyh pomeshhenijah i raschet kriticheskoj prodolzhitel'nosti pozhara [Processes of increase in relative permeability in industrial premises and the calculation of the critical duration of the fire]. Moscow: MIPB MVD Rossii Publ., 1998. 90 p. (in Russian).
16. Koshmarov Ju.A., Rubcov V.V. Processy narastanija OFP v proizvodstvennyh pomeshhenijah i raschet kriticheskoj prodolzhitel'nosti pozhara [Processes of the increase in relative permeability in industrial premises and the calculation of the critical duration of the fire]. Moscow: MIPB MVD Rossii Publ., 1998. 90 p. (in Rus-sian).
17. Kudrjavcev L. D., Matematicheskij analiz [Mathematical analysis]. Vysshaja shkola [Higher school]. Mos-cow, 1970, V. 1, 590 p. (in Russian).
