Using Generalized Integral Transforms to solve a perturbation model for a packed bed thermal energy storage tank. (May 2015)

• Record Type: Journal Article
• Authors: Mabrouk, M.T.; Kheiri, A.; Feidt, M.
• Is Part Of: International journal of heat and mass transfer. Volume 84(2015:May)
• Page Start: 633
• Page End: 641
• Publication Date: 2015-05
• Subjects: Thermal storage -- Packed bed storage -- Integral transforms -- Analytical solution -- Semi-analytical solution; Heat -- Transmission -- Periodicals; Mass transfer -- Periodicals; Chaleur -- Transmission -- Périodiques; Transfert de masse -- Périodiques; Electronic journals; 621.4022
• DOI: 10.1016/j.ijheatmasstransfer.2015.01.072
• Languages: English
• ISSNs: 0017-9310

Abstract

Abstract: A packed bed thermal storage tank is modeled using a single phase perturbation model which leads to a single advection–convection differential equation. This equation is derived using the Generalized Integral Transforms Technique (GITT). This approach allows us to obtain an analytical solution for a major case in solar applications where the fluid mass flow rate is time dependent and the inlet temperature is constant. We obtain also a semi-analytical solution for the general case where both fluid mass flow rate and inlet temperature are time-dependent. Analytical solutions for this thermal stock permits any afterwards optimization of solar power plants.