Shrinking core model for the reaction-diffusion problem in thermo-chemical heat storage

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Abstract

In this work, we develop a kinetic model to study the dehydration reaction of Li2SO4.H2O single particles involving interaction between the intrinsic chemical reaction and the bulk diffusion. The mathematical framework of the model is based on the shrinking core model. A variable-grid, finite-difference method with fully implicit formulation is used for solving the model. It is found that the Damkӧhler number 0 0 (k r ) / (D c ) Da  r e plays an important role in determining the nature of the diffusion/reaction dynamics. A very small Da value means that the overall reaction is controlled by the intrinsic chemical reaction at the interface, while a very large Da value means that the overall reaction is controlled by the diffusion of water through the product phase. Moreover, the numerical results of fractional conversion calculated in the model are in good agreement with the theoretical analysis under extreme cases in which either diffusion (large Da) or reaction (small Da) dominates the dehydration process. With consideration of numerical solutions at various Da values, it is concluded that both intrinsic reaction and mass diffusion are important in determining the reaction kinetics within a range of Da values between 0.1 and 10.
Original languageEnglish
Title of host publicationProceedings of The 13th International Conference on Energy Storage, 19-21 May 2015, Beijing, China
Place of PublicationBeijing, China
Number of pages8
Publication statusPublished - 2015
Event13th International Conference on Energy Storage (Greenstock 2015), May 19-21, 2015, Beijing, China - Beijing, China
Duration: 19 May 201521 May 2015
http://greenstock2015.csp.escience.cn/dct/page/1

Conference

Conference13th International Conference on Energy Storage (Greenstock 2015), May 19-21, 2015, Beijing, China
Abbreviated titleGreenstock 2015
CountryChina
CityBeijing
Period19/05/1521/05/15
Internet address

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    Lan, S., Zondag, H. A., & Rindt, C. C. M. (2015). Shrinking core model for the reaction-diffusion problem in thermo-chemical heat storage. In Proceedings of The 13th International Conference on Energy Storage, 19-21 May 2015, Beijing, China