Mathematical modeling of basic physical and chemical processes in the production of glass
DOI:
https://doi.org/10.15587/1729-4061.2015.36069Keywords:
mathematical model of glass furnace, Navier-Stokes equations, temperature fieldsAbstract
The main stages of the glass manufacturing process in terms of mathematical modeling were considered. Based on the formulated assumptions, describing the glass manufacturing process physics, equations of continuity, momentum, energy, turbulent kinetic energy, turbulent kinetic energy dissipation in the form of Reynolds-averaged Navier-Stokes equations were described. Initial and boundary conditions needed to solve the mathematical modeling problem were determined. The bi-directional emissivity indicator on the translucent border between the flue gases and molten glass was defined from Fresnel formulas. Temperature distribution simulation was performed by the computational fluid dynamics (CFD) methods. Simulation of turbulent flows was carried out using the κ-ε turbulence model. Solution of the radiation energy transfer equation is based on the P1 approximation of the spherical harmonics method for gray two-temperature medium. As a result, the temperature distribution in the glass furnace was obtained. The temperature distribution is an important tool for investigating glass furnace control systems.
References
- Lysyenko, V. H., Volkov, V. H., Honcharov, A. L. (1984). Mathematical modeling of heat transfer in furnaces and aggregates. Science. Dumka, 230.
- Koshelnyk, V. M. (2004). Using mathematical models for diagnosis of technical and economic parameters of high-temperature heat recovery system teplotehnologicheskih installations. Integrated technologies and energy efficiency, 1, 40–44.
- Viskanta, R. (1994). Review of Three-Dimensional Mathematical Modeling of Glass Melting. Journal of Non-Crystalline Solids, 177, 347–362. doi: 10.1016/0022-3093(94)90549-5
- Choudhary, M. K. (2002). Recent Advances in Mathematical Modeling of Flow and Heat Transfer Phenomena in Glass Furnaces. Journal of the American Ceramic Society, 85 (5), 1030–1036. doi: 10.1111/j.1151-2916.2002.tb00218.x
- Beerkens, R. G. (2002). Modeling of the Melting Process in Industrial Glass Furnaces. Mathematical Simulation in Glass Technology, Springer, Berlin, 17–72.
- Choudhary, M. K., Potter, R. M. (2005). Heat Transfer in Glass-Forming Melts. Properties of Glass Forming Melts, CRC Press, Boca Raton, FL, USA, 249–293. doi: 10.1201/9781420027310.ch9
- Kuhn, W. S. (2002). Mathematical modeling of batch melting in glass tanks. Mathematical Simulation in Glass Technology, Springer, Berlin, 73–125.
- Choudhary, M. K. (1985). Three-dimensional Mathematical Model for Flow and Heat transfer in Electric Glass Furnaces. Heat Transfer Engineering, 6, 55–65. doi: 10.1080/01457638508939639
- Kumar, A., Bansal, S. N., Chandraker, R. (2012). Computational modeling of blast furnace cooling stave based on heat transfer analysis. Materials Physics and Mechanics, 46–65.
- Aminian, J., Shahhosseini, Sh., Bayar, M. (2010). Investigation of Temperature and Flow Fields in an Alternative Design of Industrial Cracking Furnaces Using CFD. Iranian Journal of Chemical Engineering, 61–73.
- Prokhorenko, O. A. (2005). Radiative Thermal Conductivity of Melts. American Ceramic Society, Westerville, OH, USA, 95–117.
- Abbassi, A., Khoshmanesh, Kh. (2008). Numerical Simulation and Experimental Analysis of an Industrial Glass Melting Furnace. Applied Thermal Engineering, 28 (5-6), 450–459. doi: 10.1016/j.applthermaleng.2007.05.011
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2015 Олексій Анатолійович Жученко, Віталій Степанович Цапар
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.
