Abstract
We tackled a problem of research into temperature field that makes it possible to determine effectiveness of the fire-retardant coating applied onto wall. When stating the problem, we took into account a nonstandard temperature regime and conditions for a non-ideal thermal contact on the conjugating surfaces metallic wall ‒ flame-retardant coating. To solve a nonstationary heat conduction problem, the integral Laplace transform by time was employed. By using the devised mathematical model, we determined a non-stationary temperature field in the examined structure under condition of a non-ideal thermal contact. In the process of research, the time needed to reach a critical temperature was calculated, which is 45 minutes under condition that the value of the critical temperature on the unheated surface is 480 °C. Comparison of experimental data with the obtained numerical results showed that the difference is 9.7 %. The devised adequate and experimentally confirmed mathematical model makes it possible to determine effectiveness of a fire-retardant coating without conducting expensive experimental studies. In future, based on the results obtained, it is necessary to find new formulations for the fire-retardant coating that would enable increasing the time needed to reach the critical temperature for the structure metallic wall ‒ flame-retardant coating.
Highlights
At all stages of capital construction or reconstruction of objects of any designation it is required to take into account the ability of metallic building structures to maintain their properties under fire conditions, to ensure the necessary fire resistance limit.It is known that in order to improve the limit of fire resistance of structures, they are treated with fire-retarding substances
To date, there is a relevant task on creating a mathematical model, which would make it possible to adequately perform analytical calculations for determining the effectiveness of a fire-retardant coating as there are no practical results of research into non-stationary temperature fields for layered structures, considering conditions for a non-ideal heat contact on the conjugating surfaces of their non-uniform elements
By applying the Laplace transform, we obtained an analytic solution to the nonstationary heat conduction problem for a two-layered structure
Summary
At all stages of capital construction or reconstruction of objects of any designation it is required to take into account the ability of metallic building structures to maintain their properties under fire conditions, to ensure the necessary fire resistance limit. It is known that in order to improve the limit of fire resistance of structures, they are treated with fire-retarding substances. To analyze the processes and phenomena that occur during fire, it is necessary to apply methods of general physics, chemistry, thermophysics, thermodynamics, mechanics of solids, mathematics, etc. There is a nonstationary temperature regime, which in turn leads to a non-ideal thermal contact at the border of conjugation “metallic wall ‒ flame-retardant coating”. Examining temperature regimes in a two-layer structure, considering conditions of a non-ideal thermal contact, remains a relevant task
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