The stepwise numerical procedure of the 'simultaneous' solution of heat and material balance in adiabatic reactors.

Comprehensive examples for this procedure can be found in the book of J. Hagen, Chemische Reaktionstechnik. The principle of the procedure is to chose a stepwise set of mounting conversion values (U = 0.1;0.2;0.3;.....0.9;1.0) then calculate the temperature for each conversion step with the adiabatic temperature rise formula, then calculate the rate constant k(T) with the Arrhenius equation, then calculate the space time with the well known 'Integral du/r(U,T)'-formula. You see: that is the same matter as the graphical method in the 1/r(U,T)-plot !!
In the case of an adiabatic STR you get for instance the values of the temperatures in dependance of elapsed time (in the table following from the procedure mentioned above). You can visualize that very good with the simulation of the adiabatic stirred tank reactor ( see a
snapshot : the light blue curve - not very well visible - represents the temperature plot).

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