This paper investigates the transient temperature distribution within packed beds after being subjected to single blow heating. Numerical solutions are derived for the fluid and solid temperatures that include the effect of forced convection heat transfer at the fluid-exit surface. An inlet-face heat transfer coefficient is specified that includes both the effect of small scale inlet-face convective heat transfer and heat conduction in the oncoming transpirant. The boundary conditions do not require fluid or solid temperatures to be specified at the bounding surfaces. Charts are presented for predicting the response times for packed bed heat exchangers and chemical reactors covering a wide range of parameters.

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