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- Article name
- Analytical method to define thermal and physical properties of low thermoconductive materials at various heating rates
- Authors
- GUSEV V. V., , src@makeyev.ru, Joint Stock Company "Academician V. P. Makeyev State Rocket Centre", Miass, Chelyabinsk Region, Russia
KALASHNIKOV S. T., , ofpat@mail.ru; src@makeyev.ru, South Urals Federal Research Centre of Mineralogy and Geoecology of the UB RAS, Miass, Chelyabinsk Region, Russia
KOSTIN G. F., , kostgf@yandex.ru; ofpat@mail.ru, South Urals Federal Research Center of Mineralogy and Geoecology of the UB RAS, Miass, Chelyabinsk Region, Russia
- Keywords
- solutions of a heat conductivity problem / thermal and physical properties / thermal testing / inverse problems of heat conductivity
- Year
- 2022 Issue 2 Pages 26 - 36
- Code EDN
- BMFNUO
- Code DOI
- 10.52190/2073-2562_2022_2_26
- Abstract
- An approximate analytical solution for intensive heating of flat samples of materials in thermal testing, used to define effective thermal and physical properties of materials under resulted temperatures taken on surfaces of the samples, is framed in the paper based on analytical solutions of a problem of the determination of heat conductivity of an unbounded plate. The problem solution is written as a sum of solutions of two problems with boundary conditions actualized in the testing on surfaces of samples in zero-conditions, in each of the problems on countersurfaces. At Fourier numbers exceeding 1/10th, one can neglect to a certain accuracy infinitive series entering into analytical solutions, except two first terms. The article proposes an approximate dependence for an exponent entering the first terms that let us to get a biquadratic, if inserted into the obtained solution; the biquadratic coefficients are defined using temperatures taken on inner and outer surfaces of samples for two successive key time moments. The biquadratic root gives an effective thermal diffusivity used further to determine effective specific heat and a thermal conductivity coefficient of a testing material corresponding to a range of temperatures and heat rates within the intervals.
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