Chemical and Petroleum Engineering

, Volume 53, Issue 1–2, pp 78–83 | Cite as

Mathematical Models of Stationary and Dynamic Processes in Tubular Furnaces

  • N. D. Demidenko
  • L. V. Kulagina

Mathematical models are proposed for stationary and dynamic processes of technological furnaces as objects with distributed parameters based on the laws of conservation of energy, mass and momentum. Computational investigation of the stationary modes of tubular furnaces was conducted. The boundary-value problem was formulated for the calculations of the concentration of combustible substance, density, velocity, temperatures of the flue gas and the heated raw materials headed for separation in the rectification column. Results of calculations of the technological parameters are presented. The proposed method can be used for automating rectification units in petroleum-refining and petrochemical industry.


mathematical modeling distributed parameter systems heat and mass exchange numerical method 


The study was carried out with the financial support of the Russian Foundation for Basic Research, the Government of the Krasnoyarsk Krai, the Krasnoyarsk Regional Foundation for the Support of Scientific and Technological Activities within the framework of the scientific project No. 16-41-242156 r_ofi _m.


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Copyright information

© Springer Science+Business Media New York 2017

Authors and Affiliations

  1. 1.Nauka Special Designing and Technological Bureau, Institute of Computational TechnologiesSiberian Branch of the Russian Academy of SciencesKrasnoyarskRussia
  2. 2.Siberian Federal UniversityKrasnoyarskRussia

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