Abstract
It follows from an analysis of the two dimensional model for an empty tubular reactor that the dimensionless temperature gradient at the wall in the presence of reaction differs from that without reaction. Further, the dimensionless temperature gradient at the wall with reaction only reaches its asymptotic value close to completion of the reaction. When the feed temperature is lower than the wall temperature, the dimensionless temperature gradient at the wall for exothermic reactions shows a singularity at a certain axial distance. One dimensional reactor model predictions only agree with the radial flow averages from the two dimensional model when the Nusselt number to be used in the former model is set equal to the dimensionless temperature gradient at the wall of the latter model with reaction and is allowed to vary with axial position. Correlations for the prediction of these Nusselt numbers are presented for the case of endothermic reactions.
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