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180 CHAPTER 6. STEADY-STATE MACROSCOPIC BALANCES
e Two steady-state solutions exist when < 0.25 and y = ymin < ymax or,
Ymin < Y = Ymax,
e Three steady-state solutions exist when /3 < 0.25 and Y,,,~,, < y < ymax,
where ymin and rmax are defined by
The existence of more than one steady-state solution is referred to as multiple
steady-states. For more detailed information on this problem see Kauschus et al.
(1978).