Curvature coordinates to describe the explosion of Chernobyl’s reactor core in April 1986, using the tensor equations

Authors

  • Yoshio Matsuki The Laboratory for Econometrics and Forecasting at the World Data Center for Geoinformatics and Sustainable Development, National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute", Kyiv, Ukraine https://orcid.org/0000-0002-5917-8263
  • Petro I. Bidyuk The Department of the Mathematical Methods of System Analysis of the Educational and Scientific Complex "Institute for Applied System Analysis" of National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute", Kyiv, Ukraine https://orcid.org/0000-0002-7421-3565

DOI:

https://doi.org/10.20535/SRIT.2308-8893.2017.2.06

Keywords:

nuclear power plant, Chornobyl disaster, critical operation mode, regression analysis, void and water environment

Abstract

This research analyzes the process of the explosion of the reactor core of Chernobyl nuclear plant in April 1986, using the tensor equations. These tensor equations show a movement of a vector in the three dimensional curvature coordinates of time, water flow, and void. The equations shows that this vector moves along the geodesic in the curvature coordinates, which is described by fundamental tensor (gµν), Christoffel symbol (Γαµνσ) and Ricci tensor (Rµν), where µ, ν, σ, α are suffixes that indicate the coordinates. The solution of the tensor equations shows that the geodesic of the vector has a singular point, which describes a turning point of the reactor core from the normal operation to the explosion, which we reported in our previous articles [1, 2].

Author Biographies

Yoshio Matsuki, The Laboratory for Econometrics and Forecasting at the World Data Center for Geoinformatics and Sustainable Development, National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute", Kyiv

Yoshio Matsuki,

Doctor of Engineering Sci., the Head of the Laboratory for Econometrics and Forecasting, at the World Data Center for Geoinformatics and Sustainable Development, National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute", Kyiv.

Graduated from St. Paul’s University (atom physics) in Tokyo, Japan in 1976, and graduated from the Harvard University in the USA in 1992 (methods of public administration with Econometrics). He got his Doctor of Science (energy science) in 2009 at Kyoto University in Japan.

Current areas of interest: Nuclear Reactor Physics, General Theory of Relativity and Tensor Equations, Applications of Econometrics in Natural Science and in Social Science.

Petro I. Bidyuk, The Department of the Mathematical Methods of System Analysis of the Educational and Scientific Complex "Institute for Applied System Analysis" of National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute", Kyiv

Petro Bidyuk,

Doctor of Science, a professor at the Department of the Mathematical Methods of System Analysis of the Educational and Scientific Complex "Institute for Applied System Analysis" of National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute", Kyiv.

References

Matsuki Y. Empirical Analysis of Chernobyl Nuclear Reactor Core for 5 seconds before the Explosion / Y. Matsuki, P.I. Bidyuk // System Research & Information Technology, 3/2016, October 2016. – P. 33–41.

Matsuki Y. Analysis of the nuclear reactor core of Chernobyl Power Plant, for 5 seconds before explosion, with the three-dimensional spherical space / Y. Matsuki, P.I. Bidyuk // System Research & Information Technology, 4/2016, December 2016. – P. 88–94.

Jose M. Martinez. An Analysis of the Physical Causes of the Chernobyl Accident / Jose M. Martinez, Jose M. Aragonez, Emilio Mingues, Jose M. Peri and Guillermo Velarde // Nuclear Technology. –Vol. 90. – June, 1990. – P. 371–399. Madrid Polytechnic University, Institute of Nuclear Fusion, J. Gutlierez Abascol, 2, 28006 Madrid, Spain http://life-upgrade.com/DATA/Artikel%20zu% 20Tschernobyl%20in%20Nuclear%20Technology%20Vol%2090.pdf (last access, 22 November, 2015).

Dirac P.A.M. General Theory of Relativity / P.A.M. Dirac // Florida University, A Wiley-Interscience Publication. – John Wiley & Sons, New York, 1975. – P. 69. – Available at: http://amarketplaceofideas.com/wp-content/uploads/2014/08/P%2520A%2520M%2520Dirac%2520-%2520General%2520Theory%2520Of% 2520Relativity1.pdf (last access, 5 July 2016).

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Published

2017-06-26

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Section

Decision making and control in economic, technical, ecological and social systems