Question: A thermal energy storage unit consists of a large rectangular channel, which is well insulated on its outer surface and encloses alternating layers of the

A thermal energy storage unit consists of a large rectangular channel, which is well insulated on its outer surface and encloses alternating layers of the storage material and the flow passage.

Storage material Hot gas Too Te, h

Each layer of the storage material is an aluminum slab of width W = 0.05 m, which is at an initial temperature of 25°e. Consider conditions for which the storage unit is charged by passing a hot gas through the passages, with the gas temperature and the convection coefficient assumed to have constant values of T_∞ = 600°C and h = 100 W/m² ∙ K throughout the channe1. How long will it take to achieve 75% of the maximum possible energy storage? What is the temperature of the aluminum at this time?

Storage material Hot gas Too Te, h

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