COMPUTATIONAL AND EXPERIMENTAL STUDY OF THE THERMAL PROCESS IN AN INDIVIDUAL CYLINDRICAL PARTICLE
Abstract
The paper proposes a one-dimensional mathematical model of thermal conductivity in a cylinder under conditions of convective heat exchange with an external gas medium based on the difference formulation of Fourier's law of thermal conductivity. Parametric identification was performed for the proposed model based on the use of known data and empirical regularities for the material constants of the process. The mentioned data made it possible to adapt a mathematical model to describe the process of heat treatment of granular fuel particles. The verification of the operability of the physical and mathematical model proposed in this way was performed by comparing the calculated forecasts obtained with the data of a full-scale experiment. For a full-scale experiment fuel particles were prepared in such a way that thermocouple junctions were placed at two points inside each of them. The presence of thermocouple junctions directly inside the particles made it possible to fix local temperature values of the material during its heat treatment. Particles with thermocouples were placed in the apparatus with the active hydrodynamic regime of a heating gas medium. Thus, during the computational and experimental study, kinetic characteristics of heating thermally massive cylindrical bodies were obtained under three different hydrodynamic regimes. The calculated forecasts and experimental data are in good agreement for engineering calculations, which indicates sufficient predictive effectiveness of the proposed physical and mathematical model and makes it possible to consider it as a reliable basis for constructing computer methods for calculating heat transfer processes. The proposed mathematical model can also serve as an element for assembling more complex discrete models of heat and mass transfer processes in a single particle and/or models of the functioning of technological equipment for heat treatment of bulk media.
For citation:
Mitrofanov A.V., Ovchinnikov L.N., Ovchinnikov N.L., Ogurtsov A.V., Lapshina O.I. Computational and experimental study of the thermal process in an individual cylindrical particle. ChemChemTech [Izv. Vyssh. Uchebn. Zaved. Khim. Khim. Tekhnol.]. 2022. V. 65. N 9. P. 97-104. DOI: 10.6060/ivkkt.20226509.6679.
References
Mujumdar A.S. Handbook of Industrial Drying. CRC Press; Taylor & Francis Group.2006. 1312 p. DOI: 10.1201/9781420017618.
Halder A., Dhall A., Datta A. Modeling Transport in Po-rous Media With Phase Change: Applications to Food Processing. J. Heat Transfer. 2011. V. 133 (3). Art. 031010. DOI: 10.1115/1.4002463.
Ding Y., He Y., Cong N., Yang W., Chen H. Hydrodynamics and heat transfer of gas-solid two-phase mixtures flowing through packed beds – A review. Progr. Natur. Sci. 2008. V. 18. P. 1185 –1196. DOI: 10.1016/j.pnsc.2008.03.023.
Ovchinnikov L.N., Medvedev S.I. Study of heat- and mass transfer during drying of granules of organo-mineral fertilizer in dense layer. ChemChemTech [Izv. Vyssh. Uchebn. Zaved. Khim. Khim. Tekhnol.]. 2019. V. 62. N 6. P. 91-97 (in Russian). DOI: 10.6060/ivkkt.20196206.5874.
Smith P.G. Applications of fluidization to food processing. UK: Blackwellscience. 2007. 243 p. DOI: 10.1002/9780470995426.
Gibilaro L.G. Fluidization dynamics. L.: Butterworth-Heinemann. 2001. 232 p. DOI: 10.1016/B978-075065003-8/50013-6.
Sapozhnikov B.G., Gorbunova A.M., Zelenkova Yu.O., Shiryaeva N.P. Influence of surface heating temperature on external heatexchange in wet vibro-fluidized bed. Chem-ChemTech [Izv. Vyssh. Uchebn. Zaved. Khim. Khim. Tekhnol.]. 2016. V. 59. N 5. P. 77-80 (in Russian). DOI: 10.6060/tcct.20165905.5317.
Sazhin B. S., Kochetov O.S., Burtnik A.S., Sazhina M.B. Efficiency of the drying process on a pilot industrial sample of a device with a vibrating boiling layer. Usp. Khim. Khim. Tekhnol. 2004. V. 181. N 7 (47). P. 95-98 (in Russian).
Zhang J., Tang F. Prediction of flow regimes in spout-fluidized beds. China Particuology. 2006. V. 4. P. 189-193. DOI: 10.1016/S1672-2515(07)60260-7.
Mizonov V., Mitrofanov A., Camelo A., Ovchinnikov L. Theoretical study of particulate flows formation in circulating fluidized bed. Rec. Innov. Chem. Eng. 2018. V. 11. N 1. P. 20-28. DOI: 10.2174/2405520410666170620105102.
Mitrofanov A.V. Mizonov V.E., Tannous K. A mathematical model of fluidized bed state evolution at moisture transfer. ChemChemTech [Izv. Vyssh. Uchebn. Zaved. Khim. Khim. Tekhnol.]. 2015. V. 58. N 4. P. 75-78 (in Russian).
Rudobashta S.P. Mathematical modeling of the process of convective drying of dispersed materials. Izv. RAN. Energetika. 2000. N 4. P. 98-108 (in Russian).
Mizonov V.E., Mitrofanov A.V., Basova E.V. Theoretical study of heat conduction in multi-layer spherical body with phase transformation in layers. ChemChemTech [Izv. Vyssh. Uchebn. Zaved. Khim. Khim. Tekhnol.]. 2020. V. 63. N 7. P. 54-60. DOI: 10.6060/ivkkt.20206307.6206.
Plaksin Yu.M., Malakhov N.N., Larin V.A. Processes and devices of food production. M.: KolosS. 2007. 760 p. (in Russian).
Baykov V.I., Pavlyukevich N.V., Fedotov A.K., Shnip A.I. Thermophysics. V. 2. Minsk: ITMO named after A.V. Lykov NAS RB, 2014. 370 p. (in Russian).
Lykov M.V. Drying in the chemical industry. M.: Khimiya. 1970. 432 p. (in Russian).
Dytnersky Yu.I. Processes and apparatuses of chemical technology. M.: Khimiya. 2002. 400 p. (in Russian).
Sazhin V.B., Sazhin B.S., Sazhina M.B., Otrubyannikov E.V. Optimization of hardware design of drying processes in the technique of a suspended layer. Usp. Khim. Khim. Tekhnol. 2007. V. XXI. N 1(69). P. 49-65 (in Russian).
Mizonov V., Mitrofanov A., Barochkin E., Basova E. A simple model to describe the non-linear heat conduction in multilayer body with phase transformation. JP J.Heat Mass Transfer. 2020. V. 21. N 2. P. 291-300. DOI: 10.17654/HM021020291.
Misnar A. Thermal conductivity of solids, liquids, gases and their compositions. M.: Mir. 1968. 404 p. (in Russian).
The new handbook of chemist and technologist. Processes and apparatuses of chemical technologies. Ch. I. Ed. by G.M. Ostrovsky. SPb.: ANO NPO "Professional". 2004. 848 p. (in Russian).
Lykov A.V. Theory of thermal conductivity. M.: Vyssh. shk 1967. 600 p. (in Russian).
