The 'not back-mixed' brothers

Ideal batch STR and continuous ideal TFR are 'brothers' in the feature 'not stationary in space and time' - whereas the ideal CSTR is 'stationary in space and time'**. The TFR is a continuous reactor whereas the STR works batch, - but they are primarily equivalent in 'space time' for a reaction engineering problem, i.e. you can not say 'a batch STR is not so good as a TFR', - the only difference is that the operation mode of the TFR is 'continuous'. You conclude that also from the fact that the solution of the kinetic differential equation for the 'Batch' can be overtaken from the TFR merely by transformation of the time coordinate to the length coordinate (via the reactor volume and the flow rate = hydrodynamic residence time!!). see further details (logistic equation of TFR and STR)

**: this plays a role when dealing with the evaluation of the 1/r(U) vs. U plot for the space time. Here is the integral (area) under the function 1/r(U) a measure for the space time in the 'not stationary in space and time' reactor types ( batch STR, TFR), - whereas the space time for the CSTR is the area of the rightangle 'spanning over the value of 1/r(U) at the upper value of conversion and the delta conversion span (x axis)', which is normally a very much higher value (and hence the 'problem' of the CSTR!! - the CSTR needs space(time) !)

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