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Temperature Distribution in a Finite-Length Cylindrical Channel Filled with Biomass Transported by Electrically Heated Auger

Author

Listed:
  • Stanisław Ledakowicz

    (Faculty of Process and Environmental Engineering, Lodz University of Technology, Wolczanska Str. 215, 90-924 Lodz, Poland)

  • Olexa Piddubniak

    (Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, National Academy of Sciences of Ukraine, Naukova Str., 3-b, 79060 Lviv, Ukraine)

Abstract

The heat conduction problem for a cylindrical ring reactor of finite length, filled with biomass, which is transported at a constant speed by means of a rotating screw, is considered. The screw is assumed to be mounted on a circular shaft and is inductively heated by the Joule–Lenz effect. The surfaces of the channel and the shaft are thermally insulated. At the entrance and exit of the channel, boundary conditions of the third kind are formulated. The surface of the screw is replaced by uniformly distributed point heat sources. The problem is solved using the decomposition of the investigated temperature into Fourier–Bessel series over space variables and the integral Laplace transform over time. It is shown that the temperature has a quasi-stationary character with a short-term transient process. A numerical analysis of the spatio-temporal structure of temperature and its relationship with the thermophysical, kinematic and geometric parameters of the screw and biomass was carried out. In particular, it was found that the temperature along the reactor increases almost linearly starting from 400 K. It is shown that as in the case of an infinitely long channel, the condition of space–time resonance of the temperature field is fulfilled here.

Suggested Citation

  • Stanisław Ledakowicz & Olexa Piddubniak, 2023. "Temperature Distribution in a Finite-Length Cylindrical Channel Filled with Biomass Transported by Electrically Heated Auger," Energies, MDPI, vol. 16(17), pages 1-23, August.
    • Handle: RePEc:gam:jeners:v:16:y:2023:i:17:p:6260-:d:1227376
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    References listed on IDEAS

    as
    1. Radoslaw Slezak & Hilal Unyay & Szymon Szufa & Stanislaw Ledakowicz, 2023. "An Extensive Review and Comparison of Modern Biomass Reactors Torrefaction vs. Biomass Pyrolizers—Part 2," Energies, MDPI, vol. 16(5), pages 1-25, February.
    2. Codignole Luz, Fàbio & Cordiner, Stefano & Manni, Alessandro & Mulone, Vincenzo & Rocco, Vittorio, 2018. "Biomass fast pyrolysis in a shaftless screw reactor: A 1-D numerical model," Energy, Elsevier, vol. 157(C), pages 792-805.
    3. Shi, Xiaogang & Ronsse, Frederik & Roegiers, Jelle & Pieters, Jan G., 2019. "3D Eulerian-Eulerian modeling of a screw reactor for biomass thermochemical conversion. Part 1: Solids flow dynamics and back-mixing," Renewable Energy, Elsevier, vol. 143(C), pages 1465-1476.
    4. Piotr Piersa & Hilal Unyay & Szymon Szufa & Wiktoria Lewandowska & Remigiusz Modrzewski & Radosław Ślężak & Stanisław Ledakowicz, 2022. "An Extensive Review and Comparison of Modern Biomass Torrefaction Reactors vs. Biomass Pyrolysis—Part 1," Energies, MDPI, vol. 15(6), pages 1-34, March.
    5. Stanisław Ledakowicz & Olexa Piddubniak, 2022. "The Non-Stationary Heat Transport inside a Shafted Screw Conveyor Filled with Homogeneous Biomass Heated Electrically," Energies, MDPI, vol. 15(17), pages 1-16, August.
    6. Roman Musii & Petro Pukach & Ihor Kohut & Myroslava Vovk & Ľudomír Šlahor, 2022. "Determination and Analysis of Joule’s Heat and Temperature in an Electrically Conductive Plate Element Subject to Short-Term Induction Heating by a Non-Stationary Electromagnetic Field," Energies, MDPI, vol. 15(14), pages 1-11, July.
    7. Shi, Xiaogang & Ronsse, Frederik & Nachenius, Robert & Pieters, Jan G., 2019. "3D Eulerian-Eulerian modeling of a screw reactor for biomass thermochemical conversion. Part 2: Slow pyrolysis for char production," Renewable Energy, Elsevier, vol. 143(C), pages 1477-1487.
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