Volume 4, Issue 3, September 2019, Page: 35-40
Analytical Solutions in the Framework of Brightness and Color Spectral Pyrometry Methods
Konstantin Ludanov, Department No 5, Institute for Renewable Energy of NASU, Kiev, Ukraine
Received: Jul. 18, 2019;       Accepted: Aug. 22, 2019;       Published: Sep. 27, 2019
DOI: 10.11648/j.wjap.20190403.11      View  68      Downloads  19
Abstract
The article provides an analytical solution to the problem of pyrometric determination of the actual surface temperature T(K) by calculating its value from a system of three equations, including the results of three measurements of the brightness temperature TSі), which were obtained at three wave length sof the spectrum: λ123 with unknown emissivity ε1, ε2 and ε3, in the framework of the two main methods of spectral pyrometry according to the patents of Ukraine No.73231 (color) and No.82870 (brightness). It is shown in the article that exact analytical solutions are possible only in cases when the nature of the dispersion of the selective surface ε=f(λ) (for example, linear, logarithmic, etc.) is known apriori, which, together with the equation of coupling ε2 = F(ε1, ε3), allows us to determine the exact value of the intermediate (effective) length λ2 waves based on the extreme (or basic) values of λ1 and λ3. The arithmetic mean (for the color method) and the proportional mean (for the brightness method) are use dascoupling equations.
Keywords
Spectral Pyrometry, Brightness Pyrometer, Color Pyrometer, Double Spectral Ratio, Trichromatic Method, Coupling Equation
To cite this article
Konstantin Ludanov, Analytical Solutions in the Framework of Brightness and Color Spectral Pyrometry Methods, World Journal of Applied Physics. Vol. 4, No. 3, 2019, pp. 35-40. doi: 10.11648/j.wjap.20190403.11
Copyright
Copyright © 2019 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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