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The non-stationary problem of temperature distribution in a circular cylindrical channel of infinite length filled with a homogeneous biomass material moving with a constant velocity in the axial direction was investigated. The heat source was a shaftless helical screw (or auger), which was heated with an electric current due to the Joule–Lenz effect and rotated uniformly around the axis of symmetry of the channel. Similar problems arise in the thermal processing of biomaterials using screw conveyor in pyrolysis and mass sterilization and pasteurization of food products. The problem is solved using the expansion of given and required functions in Fourier series over angular coordinate and integral Fourier and Laplace transforms over axial coordinate and time, respectively. As a result, the temperature field is obtained as the sum of two components, one of which, global, is proportional to time, and the other, which forms the microstructure of the temperature profile, is given by Fourier–Bessel series. The coefficients of the series are determined by the integrals calculated using the Romberg method. Based on the numerical calculations, the analysis of the space-time microstructure of the temperature field in the canal was performed. A significant dependence of the features of this microstructure on the geometric, kinematic and thermodynamic characteristics of the filling biomass and the screw was revealed.
Czasopismo
Rocznik
Tom
Strony
119--–137
Opis fizyczny
Bibliogr. 27 poz.
Twórcy
autor
- Faculty of Process and Environmental Engineering, Lodz University of Technology, Wolczanska St. 215, 90-924 Lodz, Poland
autor
- Faculty of Process and Environmental Engineering, Lodz University of Technology, Wolczanska St. 215, 90-924 Lodz, Poland
Bibliografia
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- 5. Campuzano F., Brown R.C., Martínez J.D., 2019. Auger reactors for pyrolysis of biomass and wastes. Renewable Sustainable Energy Rev., 102, 372–409. DOI: 10.1016/j.rser.2018.12.014.
- 6. Carleton A.J., Miles J.E.P., Valentin F.H.H., 1969. A study of factors affecting the performance of screw conveyers and feeders. J. Eng. Ind., 91, 329-333. DOI: 10.1115/1.3591565.
- 7. Carslaw H.S., Jaeger J.C., 1959. Conduction of heat in solids. Clarendon Press, Oxford.
- 8. Cheney W., Kincaid D., 2008. Numerical mathematics and computing. Thomson Brooks/Cole, Belmont. ETIA S.A.S., 2019. Thermal processing of bulk and powders powered by electricity. Available at: https://etia group.com/operations-for-thermal-processing.
- 9. ETIA S.A.S., 2019. Thermal processing of bulk and powders powered by electricity. Available at: https://etiagroup.com/operations-for-thermal-processing
- 10. Evstratov V.A., Rud A.V., Belousov K.Y., 2015. Process modelling vertical screw transport of bulk material flow. Procedia Eng., 129, 397–402. DOI: 10.1016/j.proeng.2015.12.134.
- 11. Guda V.K., Steele P.H., Penmetsa V.K., Li Q., 2015. Fast pyrolysis of biomass: Recent advances in fast pyrolysis technology, In: Pandey A., Bhaskar T., Stöcker M., Sukumaran R. (Eds.), Recent advances in thermochemical conversion of biomass. Elsevier, Amsterdam etc., 175-211.
- 12. Henan Pingyuan Mining Machinery, 2015. What factors that affect the screw conveyor conveying efficiency? Available at: https://www.pkmachinery.com/faq/factors–affect–screw-conveyor-conveying-efficiency.html.
- 13. Korn G.A., Korn T.U., 2000. Mathematical handbook for scientists and engineers: Definitions, theorems and formulas for references and review. Dover Publ., Inc., Mineola, New York.
- 14. Kovacevic A., Stosic N., Smith I., 2007. Screw compressors: Three dimensional computational fluid dynamics and solid fluid interaction. Springer-Verlag, Heidelberg, Berlin, New York. DOI: 10.1007/978-3-540-36304-0.
- 15. Krein S.G. (Ed.), 1972. Functional analysis. Wolters-Noorhoff Publ., Groningen.
- 16. Ledakowicz S., Stolarek P., Malinowski A., Lepez O., 2019. Thermochemical treatment of sewage sludge by integra tion of drying and pyrolysis/autogasification. Renewable Sustainable Energy Rev., 104, 319–327. DOI: 10.1016/j.rser.2019.01.018.
- 17. Lepez O., Sajet P., 2009. Patent No. WO 2009/095564 A3. Device for the thermal processing of divided solids.
- 18. Luikov A.V., 1968. Analytical heat diffusion theory. Acad. Press, New York etc.
- 19. Martelli F.G., 1983. Twin-screw extruders: A basic understanding. Van Nostrand Reinhold Co, New York.
- 20. Martínez J.D., Murillo R., Garcia T., Veses A., 2013. Demonstration of the waste tire pyrolysis process on pilot scale in a continuous screw reactor. J. Hazard. Mater., 261, 637–645. DOI: 10.1016/j.jhazmat.2013.07.077.
- 21. Nachenius R.W., Van De Wardt T.A., Ronsse F., Prins W., 2015. Residence time distributions of coarse biomass particles in a screw conveyor reactor. Fuel Process Technol, 130, 87–95. DOI: 10.1016/j.fuproc.2014.09.039.
- 22. Shi X., Ronsse F., Roegiers J., Pieters J.G., 2019a. 3D Eulerian-Eulerian modeling of a screw reactor for biomass thermochemical conversion. Part 1: Solids flow dynamics and back-mixing. Renewable Energy, 143, 1465-1476. DOI: 10.1016/j.renene.2019.05.098.
- 23. Shi X., Ronsse F., Nachenius R., Pieters J.G., 2019b. 3D Eulerian-Eulerian modeling of a screw reactor for biomass thermochemical conversion. Part 2: Slow pyrolysis for char production. Renewable Energy, 143, 1477-1487. DOI: 10.1016/j.renene.2019.05.088
- 24. Smirnov V.I., 1964. A course of higher mathematics, Vol. II: Advanced calculus. Pergamon Press, Oxford, London, Edinburgh, New York, Paris, Frankfurt. DOI: 10.1016/C2013-0-05341-8.
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- 26. Yang H., Kudo S., Kuo H.-P., Norinaga K., Mori A., Mašek O., Hayashi J., 2013. Estimation of enthalpy of bio-oil vapor and heat required for pyrolysis of biomass. Energy Fuels, 27, 2675–2686. DOI: 10.1021/ef400199z.
- 27. Zhang S., Jin J., 1996. Computation of special functions. Wiley-Intersci., New York.
Typ dokumentu
Bibliografia
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