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Using Generalized Integral Transforms to solve a perturbation model for a packed bed thermal energy storage tank

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.
Keywords : Thermal storage
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https://hal.univ-lorraine.fr/hal-01417576
Contributor : Lemta Ul <>
Submitted on : Thursday, December 15, 2016 - 5:06:43 PM
Last modification on : Monday, March 29, 2021 - 4:02:54 PM

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Mohamed Tahar Mabrouk, Abdelhamid Kheiri, Michel Feidt. Using Generalized Integral Transforms to solve a perturbation model for a packed bed thermal energy storage tank. International Journal of Heat and Mass Transfer, Elsevier, 2015, 84, pp.633 - 641. ⟨10.1016/j.ijheatmasstransfer.2015.01.072⟩. ⟨hal-01417576⟩

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