To extend the authors' previous experimental study on the thermal storage efficiency of the first vessel of a water tank compartmented with submerged weirs and dividers for the case of the step input of cold water, an additional experimental study was conducted on the thermal storage efficiency in the regions as far as the outlets of the second and third vessels, by measuring transient liquid temperature responses for the case in which cold water was discharged into the tank filled with hot water, under various hot-cold water temperature differences, flow rates, and tank configurations. From the experimental results and theoretical consideration, a semi-empirical equation suitable for predicting the thermal storage efficiency in the region as far as the outlet of the n-th vessel, η_<nV>, was deduced as a function of the number of vessels, n, the Archimedes number based on inflow conditions, Ar_0, the Peclet number, Pe, and three geometric parameters, φ_1, φ_2, and τ_<v1>. The applicability and usefulness of the semiempirical equation have been supported and illustrated by comparison with existing experimental results of the thermal storage efficiency obtained with a model water tank of small scale and a full-sized water tank.
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