On the analytical solution of the one-dimensional convection-conduction equation for packed-bed thermal energy storage systems

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dc.contributor.authorCalderon-Vasquez, Ignacio
dc.contributor.authorBattisti, F. G.
dc.contributor.authorRosales-Vera, Marco
dc.contributor.authorCardemil, Jose M.
dc.contributor.authorEscobar, Rodrigo
dc.date.accessioned2025-01-20T16:08:19Z
dc.date.available2025-01-20T16:08:19Z
dc.date.issued2024
dc.description.abstractTemperature distribution modeling within packed-bed thermal energy storage (PBTES) systems is crucial to simulate its integration into heat sources and perform techno-economic analyses to assess the actual benefits associated with its use. This article proposes a one-dimensional convection-conduction equation to model a fluid-solid system by assuming volume-averaged properties for the energy balance and determines the analytic solution through Integral Transforms. The present study analyzes the applicability of this analytic solution considering different operational conditions of PBTES systems. The article revealed that the P & eacute;clet number (Pe) and the fluid-to-solid capacity ratio (kappa) must be limited to obtain stable solutions, while the dimensionless time tau cannot be arbitrary despite computing an analytic solution. A sensitivity study of the solution for parameter a=kappa Pe/2 defined the minimum dimensionless time required for the solution to be stable. This stability was assessed with existing experimental setups, indicating the solution's feasibility for air-solid PBTES systems.
dc.fuente.origenWOS
dc.identifier.doi10.1016/j.tsep.2024.102888
dc.identifier.issn2451-9049
dc.identifier.urihttps://doi.org/10.1016/j.tsep.2024.102888
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/90068
dc.identifier.wosidWOS:001316338200001
dc.language.isoen
dc.revistaThermal science and engineering progress
dc.rightsacceso restringido
dc.subjectThermal energy storage
dc.subjectAnalytical solution
dc.subjectPacked-bed
dc.subjectIntegral transform method
dc.subjectVariable operating conditions
dc.subject.ods07 Affordable and Clean Energy
dc.subject.odspa07 Energía asequible y no contaminante
dc.titleOn the analytical solution of the one-dimensional convection-conduction equation for packed-bed thermal energy storage systems
dc.typeartículo
dc.volumen55
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
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