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Modeling of the heat transfer process taking into account bursting expansion of fire-retardant coating

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Authors:

R.M.Tatsii, Dr. Sc. (Phys.-Math.), Prof., orcid.org/0000-0001-7764-2528, Lviv State University of Life Safety, Lviv, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

O.Yu.Pazen, Cand. Sc. (Tech.), orcid.org/0000-0003-1655-3825, Lviv State University of Life Safety, Lviv, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

S.Ya.Vovk, Cand. Sc. (Tech.), orcid.org/0000-0001-7007-7263, Lviv State University of Life Safety, Lviv, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu. 2020, (1):36-40
https://doi.org/10.33271/nvngu/2020-1/036

 повний текст / full article


Abstract:

Purpose. To develop an algorithm for calculating the problem of determining the non-stationary temperature field through the thickness of a multilayered structure, taking into account changes in the thermophysical characteristics and geometric dimensions (fluctuations) of the applied fire protection coating.

Methodology. Application of the direct method for solving the differential equation of heat conduction using the method of reduction, the concept of quasi-derivatives, the method of separation of variables and the modified method of eigenfunctions of Fourier.

Findings. An algorithm for determining the non-stationary temperature field in a multilayered flat structure is proposed, taking into account changes in the thermophysical characteristics and geometric dimensions (bursting expansion process) of the fire protection coating. This is achieved by solving a sequence of two tasks (the temperature field before the swelling and after the swelling of the coating).

Originality. For the first time, using the direct method, in solving the problem of non-stationary heat conductivity, an algorithm for determining the temperature field in multilayer elements with variable thickness of a layer on the example of building structures with flame retardant systems based on intumescent coatings is proposed.

Practical value. Further, this approach can be implemented for approximation of solutions of heat conduction problems and it will allow catalyzing studies on fire retardant properties of intumescent coatings.

References.

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2. International Organization for Standardization (ISO) (1999). ISO834–1, Fire Resistance Tests – Elements of Building Construction - Part 1: General Requirements for Fire Resistance Testing. Geneva, Switzerland. Retrieved from https://www.iso.org/standard/2576.html.

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11. Pazen, O. Y., & Tatsii, R. M. (2016). General boundary-value problems for the heat conduction equation with piecewise-continuous coefficients. Journal of Engineering Physics and Thermophysics, 89(2), 357-368. https://doi.org/10.1007/s10891-016-1386-8.

12. Pazen, O. Y. (2017). Mathematical modelling and computer simulation of direct method for studying boundary value problem of thermal conductivity. Problems of Infocommunications. Science and Technology, 73-76. https://doi.org/10.33108/visnyk_tntu2019.01.113.

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ISSN (print) 2071-2227,
ISSN (online) 2223-2362.
Journal was registered by Ministry of Justice of Ukraine.
Registration number КВ No.17742-6592PR dated April 27, 2011.

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