An Adiabatic Reactor with Plug Flow Conditions

Example 93-1 An Adiabatic Reactor with Plug Flow Conditions 

For simple irreversible reactions a (semi) analytical solution of the continuity and energy equations is possible. Douglas and Eagleton [9] published solutions for zero-, first-, and second-order reactions, both with a constant and varying 

Note the simple relation between the conversion and the temperature variation in adiabatic situations the variation in temperature is a measure of conversion and vice versa. 

After substituting dx with its expression based on Eq. (c) and of It by Hs Arrhenius expression, we obtain 

For given feed conditions, Eq. (e) permits the calculation of the K/F o. which limits the outlet temperature and therefore the outlet conversion to a set value. Obviously for a given V/F one can calculate the corresponding outlet conditions, but the expression is implicit with respect to T. 

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