Modeling of the heat transfer process taking into account bursting expansion of fire-retardant coating
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- Category: Content №1 2020
- Last Updated on 09 April 2020
- Published on 10 March 2020
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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
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.
1. Budstandart (n.d.). ДСТУ-Н-П Б В.1.1-29: 2010 Protection from fire. Fireproofing of building constructions. General requirements and control methods. Retrieved from http://online.budstandart.com/ru/catalog/doc-page?id_doc=26657.
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.
3. Lucherini, A., Giuliani, L., & Jomaas, G. (2018). Experimental study of the performance of intumescent coatings exposed to standard and non-standard fire conditions. Fire Safety Journal, 95, 42-50.
4. Beheshti, A., & Heris, S. Z. (2015). Experimental investigation and characterization of an efficient nanopowder-based flame retardant coating for atmospheric-metallic substrates. Powder technology, 269, 22-29.
5. Franssen, J.-M., & Real, V. P. (2002). Eurocode 1: Actions on structures – Part 1-2: General actions – Actions on structures exposed to fire. https://doi.org/10.1002/9783433601570.ch1.
6. Subota, A. V., Semerak, M. M., & Stokalyuk, O. V. (2014). Definition and study of the temperature field in the elements of metal constructions under the conditions of the temperature mode of hydrogen combustion. Pozhezhna bezpeka: zb. nauk. pr. LDUBZHD, (24), 120-123.
7. Singh, Suneet, & Prashant, K. Jain (2016). Analytical solution for three-dimensional, unsteady heat conduction in a multilayer sphere. Journal of Heat Transfer, 138.10: 101301. https://doi.org/10.1115/1.4033536.
8. Xiao-Jun, Y. (2017). New integral transforms for solving a steady heat transfer problem. Jornal of Thermal Science, Supplement, 21, S79-S87.
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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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