Abstract
The CaO/Ca(OH)2 thermochemical energy storage system can store heat through reversible reactions for long term and transport energy for long distance, and thus can solve the mismatching between energy supply and demand. In this study, a one-dimensional model is developed for the physical–chemical–thermal processes during the hydration reaction of CaO/Ca(OH)2 system in an indirect fixed bed reactor, and the corresponding governing equations are solved by the tridiagonal matrix method with self-developed program parallelized by Message Passing Interface. The characteristics and complicated coupling mechanisms of the vapor flow, heat transfer, mass transport and reaction processes are analyzed. Then effects of inlet pressure, convective heat transfer, reactant porosity, reactant permeability and reactor size on the reaction performance are discussed, respectively. It is found that higher inlet pressure, heat transfer coefficient, permeability and porosity can enhance the heat and mass transfer processes, thus accelerating the reaction efficiently. Finally, the reaction performance under different conditions is comprehensively evaluated by four indicators including the reaction time, average power, temperature plateau duration and standard deviation.
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Abbreviations
- c :
-
Reactant concentration (mol m−3)
- c p :
-
Heat capacity (J kg−1 K−1)
- D :
-
Diameter of reactor (m)
- D p :
-
Reactant particle diameter (m)
- H :
-
Height of reactor (m)
- K :
-
Reaction rate coefficient (s−1)
- k :
-
Permeability (m2)
- M :
-
Mole mass (kg mol−1)
- p :
-
Vapor pressure (Pa)
- P :
-
Volume average power (W m−3)
- R g :
-
Mole gas constant (J mol−1 K−1)
- T :
-
Temperature of reactor (K)
- X :
-
Reaction extent
- ε :
-
Porosity of reactant
- λ :
-
Thermal conductivity (W m−1 K−1)
- μ :
-
Dynamic viscosity (Pa s)
- ρ :
-
Density (kg m−3)
- Ψ :
-
Volume energy density (kJ m−3
- CaO:
-
Reactant CaO
- Ca(OH)2 :
-
Reactant Ca(OH)2
- eff:
-
Effective
- eq:
-
Equilibrium
- ini:
-
Initial value
- solid:
-
Solid reactant and product
- vapor:
-
Reactant vapor
References
Carrillo, A.J., Gonzalez-Aguilar, J., Romero, M., Coronado, J.M.: Solar energy on demand: a review on high temperature thermochemical heat storage systems and materials. Chem. Rev. 119(7), 4777–4816 (2019). https://doi.org/10.1021/acs.chemrev.8b00315
Cosquillo Mejia, A., Afflerbach, S., Linder, M., Schmidt, M.: Experimental analysis of encapsulated CaO/Ca(OH)2 granules as thermochemical storage in a novel moving bed reactor. Appl. Therm. Eng. (2020). https://doi.org/10.1016/j.applthermaleng.2020.114961
Criado, Y.A., Alonso, M., Abanades, J.C.: Kinetics of the CaO/Ca(OH)2 hydration/dehydration reaction for thermochemical energy storage applications. Ind. Eng. Chem. Res. 53(32), 12594–12601 (2014). https://doi.org/10.1021/ie404246p
Criado, Y.A., Huille, A., Rougé, S., Abanades, J.C.: Experimental investigation and model validation of a CaO/Ca(OH)2 fluidized bed reactor for thermochemical energy storage applications. Chem. Eng. J. 313, 1194–1205 (2017). https://doi.org/10.1016/j.cej.2016.11.010
Darcy, H.: Les Fontains Publiques de la Ville de Dijon. Paris (1956)
Darkwa, K., Ianakiev, A., O’Callaghan, P.W.: Modelling and simulation of adsorption process in a fluidised bed thermochemical energy reactor. Appl. Therm. Eng. 26(8–9), 838–845 (2006). https://doi.org/10.1016/j.applthermaleng.2005.10.008
Ergun, S.: Fluid flow through packed columns. Chem. Eng. Prog. 48(2), 6 (1952)
Herrmann, U., Kearney, D.W.: Survey of thermal energy storage for parabolic troughpower plants. J. Solar Energy Eng. 124, 145–152 (2002). https://doi.org/10.1115/1.1467601 (兴)
Kugeler, K., Niessen, H.F., Röth-Kamat, M., Böcker, D., Rüter, B., Theis, K.A.: Transport of nuclear heat by means of chemical energy (nuclear long-distance energy). Nucl. Eng. Des. 34(1), 65–72 (1975). https://doi.org/10.1016/0029-5493(75)90156-9
Linder, M., Roßkopf, C., Schmidt, M., Wörner, A.: Thermochemical energy storage in kW-scale based on CaO/Ca(OH)2. Energy Proc. 49, 888–897 (2014). https://doi.org/10.1016/j.egypro.2014.03.096
Nagel, T., Shao, H., Singh, A.K., Watanabe, N., Roßkopf, C., Linder, M., Wörner, A., Kolditz, O.: Non-equilibrium thermochemical heat storage in porous media: part 1—Conceptual model. Energy 60, 254–270 (2013). https://doi.org/10.1016/j.energy.2013.06.025
Pan, Z.H., Zhao, C.Y.: Gas–solid thermochemical heat storage reactors for high-temperature applications. Energy 130, 155–173 (2017). https://doi.org/10.1016/j.energy.2017.04.102
Pardo, P., Anxionnaz-Minvielle, Z., Rougé, S., Cognet, P., Cabassud, M.: Ca(OH)2/CaO reversible reaction in a fluidized bed reactor for thermochemical heat storage. Sol. Energy 107, 605–616 (2014a). https://doi.org/10.1016/j.solener.2014.06.010
Pardo, P., Deydier, A., Anxionnaz-Minvielle, Z., Rougé, S., Cabassud, M., Cognet, P.: A review on high temperature thermochemical heat energy storage. Renew. Sustain. Energy Rev. 32, 591–610 (2014b). https://doi.org/10.1016/j.rser.2013.12.014
Ranjha, Q., Oztekin, A.: Numerical analyses of three-dimensional fixed reaction bed for thermochemical energy storage. Renew. Energy 111, 825–835 (2017). https://doi.org/10.1016/j.renene.2017.04.062
Roßkopf, C., Afflerbach, S., Schmidt, M., Görtz, B., Kowald, T., Linder, M., Trettin, R.: Investigations of nano coated calcium hydroxide cycled in a thermochemical heat storage. Energy Convers. Manag. 97, 94–102 (2015). https://doi.org/10.1016/j.enconman.2015.03.034
Schaube, F., Wörner, A., Tamme, R.: High temperature thermochemical heat storage for concentrated solar power using gas–solid reactions. J. Solar Energy Eng. 133, 7 (2011). https://doi.org/10.1115/1.4004245
Schaube, F., Koch, L., Wörner, A., Müller-Steinhagen, H.: A thermodynamic and kinetic study of the de- and rehydration of Ca(OH)2 at high H2O partial pressures for thermo-chemical heat storage. Thermochim. Acta 538, 9–20 (2012). https://doi.org/10.1016/j.tca.2012.03.003
Schaube, F., Kohzer, A., Schütz, J., Wörner, A., Müller-Steinhagen, H.: De- and rehydration of Ca(OH)2 in a reactor with direct heat transfer for thermo-chemical heat storage. Part A: experimental results. Chem. Eng. Res. Des. 91(5), 856–864 (2013a). https://doi.org/10.1016/j.cherd.2012.09.020
Schaube, F., Utz, I., Wörner, A., Müller-Steinhagen, H.: De- and rehydration of Ca(OH)2 in a reactor with direct heat transfer for thermo-chemical heat storage. Part B: Validation of model. Chem. Eng. Res. Des. 91(5), 865–873 (2013b). https://doi.org/10.1016/j.cherd.2013.02.019
Schmidt, M., Linder, M.: Power generation based on the Ca(OH)2/CaO thermochemical storage system—Experimental investigation of discharge operation modes in lab scale and corresponding conceptual process design. Appl. Energy 203, 594–607 (2017). https://doi.org/10.1016/j.apenergy.2017.06.063
Schmidt, M., Szczukowski, C., Roßkopf, C., Linder, M., Wörner, A.: Experimental results of a 10 kW high temperature thermochemical storage reactor based on calcium hydroxide. Appl. Therm. Eng. 62(2), 553–559 (2014). https://doi.org/10.1016/j.applthermaleng.2013.09.020
Schmidt, M., Gutierrez, A., Linder, M.: Thermochemical energy storage with CaO/Ca(OH)2—Experimental investigation of the thermal capability at low vapor pressures in a lab scale reactor. Appl. Energy 188, 672–681 (2017). https://doi.org/10.1016/j.apenergy.2016.11.023
Sebarchievici, I.S.C.: A comprehensive review of thermal energy storage. Sustainability (2018). https://doi.org/10.3390/su10010191
Seitz, G., Helmig, R., Class, H.: A numerical modeling study on the influence of porosity changes during thermochemical heat storage. Appl. Energy (2020). https://doi.org/10.1016/j.apenergy.2019.114152
Shao, H., Nagel, T., Roßkopf, C., Linder, M., Wörner, A., Kolditz, O.: Non-equilibrium thermo-chemical heat storage in porous media: part 2—A 1D computational model for a calcium hydroxide reaction system. Energy 60, 271–282 (2013). https://doi.org/10.1016/j.energy.2013.07.063
Sunku Prasad, J., Muthukumar, P., Desai, F., Basu, D.N., Rahman, M.M.: A critical review of high-temperature reversible thermochemical energy storage systems. Appl. Energy (2019). https://doi.org/10.1016/j.apenergy.2019.113733
Wang, M., Chen, L., He, P., Tao, W.: Numerical study and enhancement of Ca(OH)2/CaO dehydration process with porous channels embedded in reactors. Energy 181, 417–428 (2019). https://doi.org/10.1016/j.energy.2019.05.184
Wood, D.A.: The natural gas sector needs to be mindful of its sustainability credentials. Adv. Geoenergy Res. 4(3), 229–232 (2020). https://doi.org/10.46690/ager.2020.03.01
Xu, J., Wang, R.Z., Li, Y.: A review of available technologies for seasonal thermal energy storage. Sol. Energy 103, 610–638 (2014). https://doi.org/10.1016/j.solener.2013.06.006
Yadav, D., Banerjee, R.: A review of solar thermochemical processes. Renew. Sustain. Energy Rev. 54, 497–532 (2016). https://doi.org/10.1016/j.rser.2015.10.026
Yan, J., Zhao, C.Y.: Experimental study of CaO/Ca(OH)2 in a fixed-bed reactor for thermochemical heat storage. Appl. Energy 175, 277–284 (2016). https://doi.org/10.1016/j.apenergy.2016.05.038
Yu, G., Jia, S., Dai, B.: Review on recent liquefied natural gas cold energy utilization in power generation cycles. Adv. Geoenergy Res. 2(1), 86–102 (2018). https://doi.org/10.26804/ager.2018.01.08
Acknowledgements
The authors thank the support of National Nature Science Foundation of China (51776159), Shaanxi Province Science Fund for Distinguished Young Scholars (2019JC-01), the Fundamental Research Funds for the Central Universities, the Foundation for Innovative Research Groups of the National Natural Science Foundation of China (No. 51721004) and 111 Project (B16038). We also appreciate the anonymous reviewers for their helpful comments, which greatly improve our work.
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Wang, M., Chen, L., Zhou, Y. et al. Numerical Simulation of the Physical–Chemical–Thermal Processes During Hydration Reaction of the Calcium Oxide/Calcium Hydroxide System in an Indirect Reactor. Transp Porous Med 140, 667–696 (2021). https://doi.org/10.1007/s11242-020-01514-w
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DOI: https://doi.org/10.1007/s11242-020-01514-w