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Non-equilibrium thermochemical heat storage in porous media: Part 1 – Conceptual model

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  • Nagel, T.
  • Shao, H.
  • Singh, A.K.
  • Watanabe, N.
  • Roßkopf, C.
  • Linder, M.
  • Wörner, A.
  • Kolditz, O.

Abstract

Thermochemical energy storage can play an important role in the establishment of a reliable renewable energy supply and can increase the efficiency of industrial processes. The application of directly permeated reactive beds leads to strongly coupled mass and heat transport processes that also determine reaction kinetics. To advance this technology beyond the laboratory stage requires a thorough theoretical understanding of the multiphysics phenomena and their quantification on a scale relevant to engineering analyses. Here, the theoretical derivation of a macroscopic model for multicomponent compressible gas flow through a porous solid is presented along with its finite element implementation where solid–gas reactions occur and both phases have individual temperature fields. The model is embedded in the Theory of Porous Media and the derivation is based on the evaluation of the Clausius–Duhem inequality. Special emphasis is placed on the interphase coupling via mass, momentum and energy interaction terms and their effects are partially illustrated using numerical examples. Novel features of the implementation of the described model are verified via comparisons to analytical solutions. The specification, validation and application of the full model to a calcium hydroxide/calcium oxide based thermochemical storage system are the subject of part 2 of this study.

Suggested Citation

  • Nagel, T. & Shao, H. & Singh, A.K. & Watanabe, N. & Roßkopf, C. & Linder, M. & Wörner, A. & Kolditz, O., 2013. "Non-equilibrium thermochemical heat storage in porous media: Part 1 – Conceptual model," Energy, Elsevier, vol. 60(C), pages 254-270.
    • Handle: RePEc:eee:energy:v:60:y:2013:i:c:p:254-270
    DOI: 10.1016/j.energy.2013.06.025
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    5. Lehmann, Christoph & Beckert, Steffen & Gläser, Roger & Kolditz, Olaf & Nagel, Thomas, 2017. "Assessment of adsorbate density models for numerical simulations of zeolite-based heat storage applications," Applied Energy, Elsevier, vol. 185(P2), pages 1965-1970.
    6. Yan, J. & Zhao, C.Y. & Pan, Z.H., 2017. "The effect of CO2 on Ca(OH)2 and Mg(OH)2 thermochemical heat storage systems," Energy, Elsevier, vol. 124(C), pages 114-123.
    7. Nagel, T. & Shao, H. & Roßkopf, C. & Linder, M. & Wörner, A. & Kolditz, O., 2014. "The influence of gas–solid reaction kinetics in models of thermochemical heat storage under monotonic and cyclic loading," Applied Energy, Elsevier, vol. 136(C), pages 289-302.
    8. Wang, Wenqing & Kolditz, Olaf & Nagel, Thomas, 2017. "Parallel finite element modelling of multi-physical processes in thermochemical energy storage devices," Applied Energy, Elsevier, vol. 185(P2), pages 1954-1964.
    9. Hadidi, N. & Bennacer, R. & Ould-amer, Y., 2015. "Two-dimensional thermosolutal natural convective heat and mass transfer in a bi-layered and inclined porous enclosure," Energy, Elsevier, vol. 93(P2), pages 2582-2592.
    10. Seitz, Gabriele & Helmig, Rainer & Class, Holger, 2020. "A numerical modeling study on the influence of porosity changes during thermochemical heat storage," Applied Energy, Elsevier, vol. 259(C).
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    13. Silakhori, Mahyar & Jafarian, Mehdi & Arjomandi, Maziar & Nathan, Graham J., 2019. "The energetic performance of a liquid chemical looping cycle with solar thermal energy storage," Energy, Elsevier, vol. 170(C), pages 93-101.
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    16. Shao, H. & Nagel, T. & Roßkopf, C. & Linder, M. & Wörner, A. & Kolditz, O., 2013. "Non-equilibrium thermo-chemical heat storage in porous media: Part 2 – A 1D computational model for a calcium hydroxide reaction system," Energy, Elsevier, vol. 60(C), pages 271-282.

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