Differential-difference model of heat transfer in solids using the method of parametric identification
https://doi.org/10.17586/2226-1494-2022-22-6-1237-1240
Abstract
The paper considers the problem of parametric identification of a differential-difference model of the heat transfer process in a spherical body. When developing the model, the original extended Kalman filter is used which allows taking into account the dependence of the thermophysical properties of the object under study on temperature. This formulation and the obtained solution of the problem make it possible to take into account the different nature of the external thermal effect and the processes occurring inside the bodies, in particular, during phase transitions in systems of bodies. The research results obtained using parametric identification and Ansys software are in good agreement. However, the method we have considered, in contrast to the Ansys software, allows not only to determine the temperature at different points of the object, but also to restore the non-stationary heat flow at the object boundary as well as to refine its thermophysical properties. The considered method of parametric identification of the differential-difference model of heat transfer can be successfully used in determining the efficiency of heat energy storage devices.
About the Authors
N. V. Pilipenko
ITMO University
Russian Federation
Russian Federation
Nikolai V. Pilipenko – D. Sc., Professor, Associate Professor
Saint Petersburg, 197101
sc 7006938207
P. A. Kolodiychuk
ITMO University
Russian Federation
Russian Federation
Pavel A. Kolodiychuk – PhD Student
Saint Petersburg, 197101
Yu. P. Zarichnyak
ITMO University
Russian Federation
Russian Federation
Yuri P. Zarichnyak – D. Sc. (Physics & Mathematics), Professor, Associate Professor
Saint Petersburg, 197101
sc 6701513411
References
1. Pilipenko N.V., Zarichnyak Yu.P., Ivanov V.A., Khalyavin A.M. Parametric identification of differencial-difference models of heat transfer in one-dimensional bodies based on Kalman filter algorithms. Scientific and Technical Journal of Information Technologies, Mechanics and Optics, 2020, vol. 20, no. 4, pp. 584–588. (in Russain). https://doi.org/10.17586/2226-1494-2020-20-4-584-588
2. Kirillov K., Pilipenko N. Solution algorithms for direct and backward heat conductivity problems by means of differential-difference models. Scientific and Technical Journal of Information Technologies, Mechanics and Optics, 2010, no. 5(69), pp. 106–110. (in Russian)
3. Pilipenko N.V. Uncertainty of non-stationary heat flux recovery by parametric identification of differential-difference model of heat transmission. Journal of Instrument Engineering, 2017, vol. 60, no. 7, pp. 664–671. (in Russian). https://doi.org/10.17586/0021-3454-2017-60-7-664-671
4. Pilipenko N.V., Gladskih D.A. Determination of the heat losses of buildings and structures by solving inverse heat conduction problems. Measurement Techniques, 2014, vol. 57, no. 2, pp. 181–186. https://doi.org/10.1007/s11018-014-0427-y
5. Sivakov I.A., Pilipenko N.V. Kalman filter application when restoringheat flux density on study object surface in pulsed wind tunnel. Proc. IV All-Russian Scientific-Practical Conference with International Participation “Information Technologies in Science, Education and Economy”, 2012, pp. 55–58. (in Russian)
6. Pilipenko N. Dynamic characteristics for different types of heat flow receivers based on differential-difference models of heat transfer. Scientific and Technical Journal of Information Technologies, Mechanics and Optics, 2009, no. 3(61), pp. 52–58. (in Russian)
7. Pilipenko N.V. The uncertainty of measuring unsteady surface temperature of massive bodies. Journal of Instrument Engineering, 2016, vol. 59, no. 9, pp. 767–772. (in Russian). https://doi.org/10.17586/0021-3454-2016-59-9-767-772
8. Pilipenko N.V. Using the extended Kalman filter in nonstationary thermal measurement when solving inverse heat transfer problems. Journal of Instrument Engineering, 2019, vol. 62, no. 3, pp. 212–217. (in Russian). https://doi.org/10.17586/0021-3454-2019-62-3-212-217
9. Bosholm F., López-Navarro A., Gamarra M., Corberán J.M., Payá J. Reproducibility of solidification and melting processes in a latent heat thermal storage tank. International Journal of Refrigeration, 2016, vol. 62, pp. 85–96. https://doi.org/10.1016/j.ijrefrig.2015.10.016
10. Sharma A., Tyagi V.V., Chen C.R., Buddhi D. Review on thermal energy storage with phase change materials and applications. Renewable and Sustainable Energy Reviews, 2009, vol. 13, no. 2, pp. 318–345. https://doi.org/10.1016/j.rser.2007.10.005
Review
For citations:
Pilipenko N.V., Kolodiychuk P.A., Zarichnyak Yu.P. Differential-difference model of heat transfer in solids using the method of parametric identification. Scientific and Technical Journal of Information Technologies, Mechanics and Optics. 2022;22(6):1237-1240. (In Russ.) https://doi.org/10.17586/2226-1494-2022-22-6-1237-1240
Views:
8
Email this article 