Abstract
Differential heat balance equations for the regenerative heat exchanger are expanded into a power series of small value of cycle time to obtain a perturbation solution. Its thermal effectiveness is given by the same performance equation as that for countercurrent continuous heat exchanger when an additional resistance to heat transfer brought about by periodic regeneration is added to overall heat transfer resistances in process and regeneration cycles. The new resistance is a simple function that increases with the square of the ratio of heat capacity of fluid entering during one cycle time to that of heat storage medium. The proposed expression successfully correlates representative results of available numerical analyses.
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