Abstract
The adequate representation of the thermal behaviour of the regenerative heat exchanger has attracted the attention of mathematicians for many years. Nearly all efforts have been directed towards the two-dimensional problem, that is it has been required to calculate the temperatures within the regenerator as function of distance, in the direction of gas flow, and of time. The effect of thermal conductivity within heat storing material of the regenerator in a direction perpendicular to the direction of gas flow has either been ignored or incorporated within a lumped or overall heat-transfer coefficient. In this paper, the three-dimensional equations are considered and the effect is discussed of the simplifying assumption that the problem can be regarded to be in two dimensions only. The problem of longitudinal thermal conductivity is not considered since it has been shown that its effect in most practical cases is negligible.
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