General tangency condition with inflow of autocatalyst

General tangency condition with inflow of autocatalyst 

The condition for tangency for a system with autocatalyst in the inflow is obtained from eqns (6.21) and (6.26)  

The tangency condition can only have real roots so long as (8 + 9K 1)/ 0 1. This provides limits on either the autocatalyst inflow concentration 

reversibility decreases the range of inflow concentrations over which multiple stationary states can exist. If the reactor has no autocatalyst in the inflow, multistability exists over some range of residence times, no matter how small the equilibrium constant becomes. Otherwise, increasing the inflow concentration decreases the extent of reversibility (i.e. raises the minimum value for Kc) over which multistability can be found. 

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