Analytical Solutions in the Framework of Brightness and Color Spectral Pyrometry Methods

Konstantin Ludanov

doi:doi:10.11648/j.wjap.20190403.11

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Analytical Solutions in the Framework of Brightness and Color Spectral Pyrometry Methods

Konstantin Ludanov

Published in World Journal of Applied Physics (Volume 4, Issue 3)

Received: 18 July 2019 Accepted: 22 August 2019 Published: 27 September 2019

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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 T_S (λ_і), which were obtained at three wave length sof the spectrum: λ₁<λ₂<λ₃ 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.

Published in	World Journal of Applied Physics (Volume 4, Issue 3)
DOI	10.11648/j.wjap.20190403.11
Page(s)	35-40
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2019. Published by Science Publishing Group

Keywords

Spectral Pyrometry, Brightness Pyrometer, Color Pyrometer, Double Spectral Ratio, Trichromatic Method, Coupling Equation

References

[1]	Ribot G. Optical pyrometry. M. L.: GTTI, 1934.
[2]	Gordov A. N. Fundamentals of pyrometry. M.: Metallurgy, 1971.
[3]	Ludanov K. I. UA Patent No.63080 IPC G01J 5/00 Combined Method of Radiation Pyrometry. 15.01.2004, Bul. №1.
[4]	Ludanov K. I. UA Patent No. 107108 IPC G01J 5/00 Combined Method of Partly Radiation Pyrometry 25.11.2014, Bul. №22.
[5]	Ludanov K. I. Combined Method of Radiation Pyrometry in Material Science // Inter. Journal IJLRET, Vol. 04 – Issue 05 // May 2018 // PP. 01-06.
[6]	Temperature measurements. DIRECTORY. Kiev: "Naukova Dumka", 1989.
[7]	Bloch A. Fundamentals of heat transfer by radiation. M.; 1961.
[8]	Swet D. Ya. Optical methods for measuring true temperatures. M.: "Science", 1982.
[9]	Magunov A. N. Spectral Pyrometry. M.: "Fizmatlit", 2012.
[10]	Pyatt E. C. Brit. J. Appl. Phys., Vol. 5, p. 264.
[11]	Svet D. Ya. USSR certificate of authorship, № 476464, 1975.
[12]	Ludanov K. I. UA Patent No.73231 IPC G01J 5/00 Combined method of trichromatic color pyrometry. 06.15.2005, Bul. №6.
[13]	Vilenkin N. Y. The method of successive approximations. M: "Fizmatgiz", 1961.
[14]	Ludanov K. I. UA Patent No.82870 IPC G01J 5/00 Combined method of trichromatic brightness pyrometry. 08.27.2013, Bul. №16.
[15]	Ludanov K. I. UA Patent No.104511 IPC G01J 5/00 Pyrometric Method for the Joint Determination of the Absolute Temperature and the Radiation Capacity of a Surface. 10.02.2014, Bul. №3.
[16]	Ludanov K. I. WO 2014/046638 IPC G01J 5/00 Pyrometric Method for the Joint Determination of the Actual Temperature and the Radiation Capacity of a Surface. PCT/UA2013/000087, 12.08.2013.

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Konstantin Ludanov. (2019). Analytical Solutions in the Framework of Brightness and Color Spectral Pyrometry Methods. World Journal of Applied Physics, 4(3), 35-40. https://doi.org/10.11648/j.wjap.20190403.11

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ACS Style

Konstantin Ludanov. Analytical Solutions in the Framework of Brightness and Color Spectral Pyrometry Methods. World J. Appl. Phys. 2019, 4(3), 35-40. doi: 10.11648/j.wjap.20190403.11

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Konstantin Ludanov. Analytical Solutions in the Framework of Brightness and Color Spectral Pyrometry Methods. World J Appl Phys. 2019;4(3):35-40. doi: 10.11648/j.wjap.20190403.11

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@article{10.11648/j.wjap.20190403.11,
  author = {Konstantin Ludanov},
  title = {Analytical Solutions in the Framework of Brightness and Color Spectral Pyrometry Methods},
  journal = {World Journal of Applied Physics},
  volume = {4},
  number = {3},
  pages = {35-40},
  doi = {10.11648/j.wjap.20190403.11},
  url = {https://doi.org/10.11648/j.wjap.20190403.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.wjap.20190403.11},
  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 TS (λі), 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.},
 year = {2019}
}

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TY  - JOUR
T1  - Analytical Solutions in the Framework of Brightness and Color Spectral Pyrometry Methods
AU  - Konstantin Ludanov
Y1  - 2019/09/27
PY  - 2019
N1  - https://doi.org/10.11648/j.wjap.20190403.11
DO  - 10.11648/j.wjap.20190403.11
T2  - World Journal of Applied Physics
JF  - World Journal of Applied Physics
JO  - World Journal of Applied Physics
SP  - 35
EP  - 40
PB  - Science Publishing Group
SN  - 2637-6008
UR  - https://doi.org/10.11648/j.wjap.20190403.11
AB  - 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 TS (λі), 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.
VL  - 4
IS  - 3
ER  -

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Author Information

Konstantin Ludanov

Department No 5, Institute for Renewable Energy of NASU, Kiev, Ukraine

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APA Style

Konstantin Ludanov. (2019). Analytical Solutions in the Framework of Brightness and Color Spectral Pyrometry Methods. World Journal of Applied Physics, 4(3), 35-40. https://doi.org/10.11648/j.wjap.20190403.11

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ACS Style

Konstantin Ludanov. Analytical Solutions in the Framework of Brightness and Color Spectral Pyrometry Methods. World J. Appl. Phys. 2019, 4(3), 35-40. doi: 10.11648/j.wjap.20190403.11

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AMA Style

Konstantin Ludanov. Analytical Solutions in the Framework of Brightness and Color Spectral Pyrometry Methods. World J Appl Phys. 2019;4(3):35-40. doi: 10.11648/j.wjap.20190403.11

Copy | Download

@article{10.11648/j.wjap.20190403.11,
  author = {Konstantin Ludanov},
  title = {Analytical Solutions in the Framework of Brightness and Color Spectral Pyrometry Methods},
  journal = {World Journal of Applied Physics},
  volume = {4},
  number = {3},
  pages = {35-40},
  doi = {10.11648/j.wjap.20190403.11},
  url = {https://doi.org/10.11648/j.wjap.20190403.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.wjap.20190403.11},
  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 TS (λі), 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.},
 year = {2019}
}

Copy | Download

TY  - JOUR
T1  - Analytical Solutions in the Framework of Brightness and Color Spectral Pyrometry Methods
AU  - Konstantin Ludanov
Y1  - 2019/09/27
PY  - 2019
N1  - https://doi.org/10.11648/j.wjap.20190403.11
DO  - 10.11648/j.wjap.20190403.11
T2  - World Journal of Applied Physics
JF  - World Journal of Applied Physics
JO  - World Journal of Applied Physics
SP  - 35
EP  - 40
PB  - Science Publishing Group
SN  - 2637-6008
UR  - https://doi.org/10.11648/j.wjap.20190403.11
AB  - 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 TS (λі), 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.
VL  - 4
IS  - 3
ER  -

Copy | Download