Numerical modeling of physical fields in the process of drying of paper for corrugating by the infrared radiation

Authors

DOI:

https://doi.org/10.15587/1729-4061.2017.96741

Keywords:

paper for corrugating, fluting, infrared radiation, moisture content, duration of drying, mathematical model

Abstract

By using a numerical model, developed based on the proposed physical and mathematical models, we performed a numerical study of non-stationary temperature fields and moisture content of the process of infrared radiation drying of fluting. A distinctive feature of present study is a combined consideration of the kinetics of drying process, translucency to the IR radiation of the material using the approximations of the Burgers' models, "gray" medium and diffuse reflection of boundaries. Verification of the numerical model demonstrated a convergence of results of numerical modeling of the fluting surface temperature, duration and speed of its drying with the data of physical experiment within the range of 5 % on the interval of change in the square meter mass of dry fluting from 0.112 kg/m2 to 0.2 kg/m2. It is substantiated that the developed numerical model makes it possible to define kinetic patterns and basic parameters required to intensify the process of drying and to design the appropriate equipment.

Author Biographies

Anton Karvatskii, National Technical University of Ukraine «Igor Sikorsky Kyiv Polytechnic Institute» Peremohy ave., 37, Kyiv, Ukraine, 03056

Doctor of Technical Sciences, Professor

Department of chemical, polymer and silica engineering

Viсtor Marchevsky, National Technical University of Ukraine «Igor Sikorsky Kyiv Polytechnic Institute» Peremohy ave., 37, Kyiv, Ukraine, 03056

PhD, Professor

Department of Machines and Apparatus of Chemical and Oil Refinery Productions

Oleh Novokhat, National Technical University of Ukraine «Igor Sikorsky Kyiv Polytechnic Institute» Peremohy ave., 37, Kyiv, Ukraine, 03056

PhD, Senior Lecturer

Department of Machines and Apparatus of Chemical and Oil Refinery Productions

References

  1. Kolchyna, Y. A. (2013). Rynok kartona v Ukrayne (sostoyanye y problemу). Upakovka, 2, 22–26.
  2. Lu, T., Shen, S. Q. (2007). Numerical and experimental investigation of paper drying: Heat and mass transfer with phase change in porous media. Applied Thermal Engineering, 27 (8-9), 1248–1258. doi: 10.1016/j.applthermaleng.2006.11.005
  3. Marchevskiy, V. M., Novohat, O. A. (2011). Infrachervone nagrivannya i sushinnya paperu y kartonu. Himichna inzheneriya, ekologiya ta resursozberezhennya, 2 (8), 42–44.
  4. Lykov, A. V. (1968). Teoriya sushki. Moscow: Energiya, 472.
  5. Ghodbanan, S., Alizadeh, R., Shafiei, S. (2015). Steady-State Modeling of Multi-Cylinder Dryers in a Corrugating Paper Machine. Drying Technology, 33 (12), 1474–1490. doi: 10.1080/07373937.2015.1020161
  6. Heo, C. H., Cho, H., Yeo, Y.-K. (2011). Dynamic modeling of paper drying processes. Korean Journal of Chemical Engineering, 28 (8), 1651–1657. doi: 10.1007/s11814-011-0046-0
  7. Ottosson, A., Nilsson, L., Berghel, J. (2016). A mathematical model of heat and mass transfer in Yankee drying of tissue. Drying Technology, 35 (3), 323–334. doi: 10.1080/07373937.2016.1170697
  8. Weineisen, H., Stenstrom, S. (2008). Modeling Drying and Energy Performance of Industrial Through-Dryers. Drying Technology, 26 (6), 776–785. doi: 10.1080/07373930802046443
  9. Dhib, R. (2007). Infrared Drying: From Process Modeling to Advanced Process Control. Drying Technology, 25 (1), 97–105. doi: 10.1080/07373930601160908
  10. Khansary, M. A., Joogh, F. K. Q., Hosseini, A., Safari, J., Allahyari, E., Zadeh, N. S., Sani, A. H. (2014). Modeling drying of a coated paper. International Journal of Modeling, Simulation, and Scientific Computing, 05 (01), 1350019. doi: 10.1142/s1793962313500190
  11. Kocabiyik, H., Tezer, D. (2009). Drying of carrot slices using infrared radiation. International Journal of Food Science & Technology, 44 (5), 953–959. doi: 10.1111/j.1365-2621.2008.01767.x
  12. Doymaz, I. (2011). Infrared drying of sweet potato (Ipomoea batatas L.) slices. Journal of Food Science and Technology, 49 (6), 760–766. doi: 10.1007/s13197-010-0217-8
  13. Doymaz, I. (2012). Drying of pomegranate seeds using infrared radiation. Food Science and Biotechnology, 21 (5), 1269–1275. doi: 10.1007/s10068-012-0167-1
  14. Marchevsky, V. (2015). Kinetics of Corrugated Board Flute Drying with the Use of Infrared Radiation. The Advanced Science Journal, 2015 (6), 69–72. doi: 10.15550/asj.2015.06.069
  15. Kolesnikov, A. V., Deshko, V. I., Lokhmanets, Yu. V., Karvatskii, A. Ya., Kirichenko, I. K. (2010). The complex heat exchange model at growing of large alkali halide crystals. Functional Materials, 17 (4), 483–487.
  16. Zigel', R., Hauell, Dzh.; Hrustalev, B. A. (Ed.) (1975). Teploobmen izlucheniem. Moscow: Mir, 934.
  17. Deshko, V. Y., Karvatskyy, A. Ya., Lokhmanets, Yu. V., Hulenko, A. O. (2011). Modelyrovanye nestatsyonarnoho protsessa vytyahyvanyya krystallov yz rasplava. Matematychne modelyuvannya, 2 (25), 75–79.
  18. Sergeev, O. A., Men, A. A. (1977). Teplofizicheskie svoystva poluprozrachnyih materialov. Moscow: Izd-vo standartov, 288.
  19. Ocisik, M. N.; Anfimov, N. A. (Ed.) (1976). Slozhnyj teploobmen. Moscow: Mir, 616.
  20. Seyed-Yagoobi, J., Noboa, H. (2004). Heating/drying of uncoated paper with gas-fired and electric infrared emitters – fundamental understanding. Drying 2004 – Proceedings of the 14th International Drying Symposium (IDS 2004). Sao Paulo.
  21. Marchevskiy, V. M., Novohat, O. A., Voronin, L. G., Tatarchuk, O. O. (2015). Sushinnya sanitarno-gigienichnogo paperu z vikoristannyam infrachervonogo viprominyuvannya. Himichna inzheneriya, ekologiya ta resursozberezhennya, 1 (14), 29–31.
  22. Marchevsky, V., Novokhat, O., Tsepkalo, O. (2015). Paper drying process for corrugation (fluting) using radiant energy. Ukrainian Journal of Food Science, 2, 310–321.
  23. Deshko, V. I., Karvatskii, A. Ya., Lenkin, A. V., Lokhmanets, Yu. V. (2008). Control of radiation-conductive heat exchange at crystal growth from melt. Functional Materials, 15 (2), 229–234.
  24. Mathcad. Engineering math software that allows perform, analyze, and share your most vital calculations. Available at: http://www.ptc.com/engineering-math-software/mathcad/
  25. Karvatskyi, A. Ya., Pedchenko, A. Yu. (2016). Rozv’iazannia neliniinykh nestatsionarnykh zadach teploprovidnosti z vykorystanniam CAD-system. Matematychne ta komp’iuterne modeliuvannia. Seria: Fizyko-matematychni nauky, 13, 67–77.

Downloads

Published

2017-04-26

How to Cite

Karvatskii, A., Marchevsky, V., & Novokhat, O. (2017). Numerical modeling of physical fields in the process of drying of paper for corrugating by the infrared radiation. Eastern-European Journal of Enterprise Technologies, 2(5 (86), 14–22. https://doi.org/10.15587/1729-4061.2017.96741

Issue

Vol. 2 No. 5 (86) (2017): Applied physics

Section

Applied physics

License

Copyright (c) 2017 Anton Karvatskii, Viсtor Marchevsky, Oleh Novokhat

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

The consolidation and conditions for the transfer of copyright (identification of authorship) is carried out in the License Agreement. In particular, the authors reserve the right to the authorship of their manuscript and transfer the first publication of this work to the journal under the terms of the Creative Commons CC BY license. At the same time, they have the right to conclude on their own additional agreements concerning the non-exclusive distribution of the work in the form in which it was published by this journal, but provided that the link to the first publication of the article in this journal is preserved.

A license agreement is a document in which the author warrants that he/she owns all copyright for the work (manuscript, article, etc.).
The authors, signing the License Agreement with TECHNOLOGY CENTER PC, have all rights to the further use of their work, provided that they link to our edition in which the work was published.
According to the terms of the License Agreement, the Publisher TECHNOLOGY CENTER PC does not take away your copyrights and receives permission from the authors to use and dissemination of the publication through the world's scientific resources (own electronic resources, scientometric databases, repositories, libraries, etc.).
In the absence of a signed License Agreement or in the absence of this agreement of identifiers allowing to identify the identity of the author, the editors have no right to work with the manuscript.
It is important to remember that there is another type of agreement between authors and publishers – when copyright is transferred from the authors to the publisher. In this case, the authors lose ownership of their work and may not use it in any way.