World Journal of Applied Physics

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

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 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.

DOI 10.11648/j.wjap.20190403.11
Published in World Journal of Applied Physics (Volume 4, Issue 3, September 2019)
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), 2024. 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.
Author Information
  • 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

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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://download.sciencepg.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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    T1  - Analytical Solutions in the Framework of Brightness and Color Spectral Pyrometry Methods
    AU  - Konstantin Ludanov
    Y1  - 2019/09/27
    PY  - 2019
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    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
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    EP  - 40
    PB  - Science Publishing Group
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    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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