Abstract
A one-dimensional single-phase conductivity model of packed beds in which air and rock are at the same temperature is used to develop closed-form analytical solutions for the transient responses produced by time-varying air inlet temperatures. In particular, the single-blow or step response of this simple conductivity model is compared with the classical Schumann two-phase model which ignores axial conductivity. The close agreement exhibited at sufficiently large time justifies the development of approximate equivalent models that combine the effects of air rock heat transfer and axial conductivity.
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