The Speedup of the Calculation of Heat Transfer Parameters in Thermal Insulation Coating Experiments

Abstract:

This paper presents a quick calculation procedure to solve the heat transfer problem in some specific experimental arrangements. A brief overview of our previous efforts related to this topic is found in [1][2]. The goal of our effort is to quantify the thermal properties of insulation coatings applied to concrete material. We mostly deal with the computational aspects of thermal properties’ determination process. The proposed calculation approach is based on restricting the calculation to the first four members of the Fourier decomposition of the heat transfer partial differential equation’s solution. The reason for such a level of restrictions is given. The approach to the problem of deciding on the sufficient number of Fourier series’ members is indicated [3]. The effecting speedup is of three order of magnitude. Simplified formulas allowing the quick calculation of estimated values of material parameters are derived. The outline of an even quicker calculation procedure is described in a simplified manner.

• Periodical: Defect and Diffusion Forum (Volume 391)
• Pages: 11-17
• DOI: https://doi.org/10.4028/www.scientific.net/DDF.391.11
• Online since: February 2019
• Authors: Michal Kopčok, Milan Jurči, Gabriela Pavlendová, Peter Šín
• Keywords: Fourier Method, Heat Transfer, Insulation Coat, Inverse Problem

References

[1] J. Kačur, M. Kopčok, J. Lukovičová, A. Struhárová, Numerical Quantification of Thermal Properties of Insulation Coating, International Journal of Mechanical Engineering 2,1-5 (2017).

DOI: 10.1063/1.4994500

[2] M. Kopčok, J. Lukovičová, J. Kačur, G. Pavlendová, Investigation of Thermo-physical Properties of Thermal Insulation Coating, in AIP Conference Proceedings, Vol. 1866, p.040020, A.Trnik, J. Avsec, I. Medved, Ed. (Melville, New York, 2017).

DOI: 10.1063/1.4994500

[3] A.V. Lykov, Teorya teploprovodnosti, Vysshaya shkola, Moscow (1966).

[4] V.J. Arsenin, Matematicka fyzika/Mathematical Physics, Alfa – Vydavateľstvo technickej a ekonomickej literatúry/ Alpha – the publisher of technical and economical literature, Bratislava (1977).

[5] Information on https://en.wikiversity.org/wiki/Heat_equation/Solution_to_the_1_D_Heat_equation.

[6] Lixia Guo, Lei Guo, L. Zhong, Y. Zhu, Thermal Conductivity and Heat Transfer Coefficient of Concrete, Journal of Wuhan University of Technology-Mater Sci. Ed. 26(4), 791-796 (August 2011).

DOI: 10.1007/s11595-011-0312-3