Internal heat transport criterion

The criterion for negligible internal heat transport resistance is... 

Internal heat transport limitations were considered by J.B. Anderson (Chemical Engineering Science 18 (1963) 147) and according to the following criterion such limitations do not occur if... 

Internal heat transport limitations are rather unlikely at laboratory scale given the small particle diameters that are generally used in order to avoid internal mass transport limitations. An appropriate criterion for the verification of the absence of internal heat transport limitations is derived based on assuming a parabolic temperature profile inside the catalyst pellet. In that case, it can be shown that the following relation holds between the observed reaction rate and... 

Solving equation 24 for y and substitution in equation 23 leads to the final criterion for the absence of internal heat transport limitations ... 

Note that criterion 7.186 requires a knowledge of the apparent activation energy for the reaction. Criterion 7.186 holds whether internal diffusion limitations exist or not. When the criterion concerning external heat transfer is compared to criterion 7.167 concerning radial heat transport limitations through the bed, it can been seen that the latter are more critical unless ... 

For a non-isothermal catalyst particle according to the Weisz-Hicks criterion no internal heat and mass transport limitations occur if... 

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