Abstract
In this paper we propose a discrete mathematical model for heat transfer process in two-layer rotating regenerative air preheaters of a thermal power plant. The model is formulated by discretizing the process as a result of averaging both temporal and spatial variables. We take into account partial mixing of gas and air. Some conditions that ensure the asymptotic stability of the discrete system have also been deduced.
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References
Kirsanov, Yu.A.: Cyclic Thermal Processes and the Theory of Thermal Conductivity in Regenerative Air Heaters. Fizmatlit, Moscow (2007). (in Russian)
Kovalevskii, V.P.: Simulation of heat and aerodynamic processes in regenerators of continuous and periodic operation. I. Nonlinear mathematical model and numerical algorithm. J. Eng. Phys. Thermophys. 77(6), 1110–1118 (2004)
Chi-Liang, L.: Regenerative air preheaters with four channels in a power plant system. J. Chin. Inst. Eng. 32(5), 703–710 (2009)
Alagic, S., Kovacevic, A., Buljubasic, I.: A numerical analysis of heat transfer and fluid flow in rotary regenerative air pre-heaters. Strojnivski Vestnik 51(7–8), 411–417 (2005)
Heidari-Kaydan, E.H.: Three-dimensional simulation of rotary air preheater in steam power plant. Appl. Therm. Eng. 73, 397–405 (2014)
Drobnic, B., Oman, J., Tuma, M.: A numerical model for the analysis of heat transfer and leakages in a rotary air preheater. Int. J. Heat Mass Transf. 49, 5001–5009 (2006)
Azamov, A.A., Bekimov, M.A.: Simplified model of the heat exchange process in rotary regenerative air pre-heater. Ural Math. J. 2, 27–36 (2017)
Azamov, A.A., Bekimov, M.A.: Discrete model of the heat exchange process in rotating regenerative air preheaters. Prooc. Steklov Inst. Math. 23, 12–19 (2017)
Lakshmikantham, L., Trigiante, D.: Theory of Difference Equations: Numerical Methods and Applications. Basel, New York (1988)
Acknowledgements
This work is funded by Ministry of Innovation Development of the Republic of Uzbekistan (research project OT-F4-84). The authors are most grateful to Professor A. Azamov for his valuable comments and numerous suggestions concerning the content of the paper.
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Mansur, B., Rihan, F.A. (2018). A Discrete Mathematical Model for Heat Transfer Process in Rotating Regenerative Air Preheater. In: Azamov, A., Bunimovich, L., Dzhalilov, A., Zhang, HK. (eds) Differential Equations and Dynamical Systems. USUZCAMP 2017. Springer Proceedings in Mathematics & Statistics, vol 268. Springer, Cham. https://doi.org/10.1007/978-3-030-01476-6_5
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DOI: https://doi.org/10.1007/978-3-030-01476-6_5
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