TY - CPAPER
DO - https://doi.org/10.26868/25222708.2009.0709-715
UR - https://publications.ibpsa.org/conference/paper/?id=bs2009_0709_715
PY - 2009
DA - 2009/July
PB - IBPSA
AU - F., R. Villatoro
AU - J., Pérez
AU - F., Domínguez-Muñoz
AU - J., M. Cejudo-López
TI - APPROXIMATE ANALYTICAL SOLUTION FOR THE HEAT TRANSFER IN PACKED BEDS FOR SOLAR THERMAL STORAGE IN BUILDING SIMULATORS
T2 - Proceedings of Building Simulation 2009: 11th Conference of IBPSA
VL - 11
SN -
C1 - Glasgow, Scotland
J2 - Building Simulation
SP - 709-715
AB - Schumann solution for the heating (cooling) of onedimensional packed beds by the passage of a hot (cool) fluid is extended by the incorporation of a small solid thermal conductivity by means of using perturbation methods based on the Laplace transform and a Picard iteration for the Greenâ€™s functions for the heat transfer of both phases. The new solution shows smooth heat front propagation through the medium during either the heating or the cooling (depending on its initial temperature) and can be easily incorporated into solar thermal storage simulators currently using Schumann solution, but with increased thermal accuracy. NOMENCLATURE x axial position along the packed bed y nondimensional axial position L length of the solid medium t time coordinate Ï„ nondimensional time coordinate Î¤f , Î¤s temperature of fluid and solid, resp. Ï‡ nondimensional temperature of the solid Îµ nondimensional temperature of the fluid Ïf , Ïs density of fluid and solid, resp. cs specific heat of the solid cf fluid specific heat at constant pressure vf fluid flow velocity h fluid-solid heat transfer coefficient hb fluid-solid boundary heat transfer coefficient Î³ nondimensional boundary heat transfer ratio Î»s solid thermal conductivity Î²2 nondimensional solid thermal conductance p â€œeffectiveâ€ porosity Tâ‚ ambient temperature Tfâ‚€ initial temperature of the packed bed n fluid to solid heat capacity ratio
ER -