Fermentation, and the cliff at the end of it

Growth medium brought to temperature and fed to a Monod chemostat, with the washout limit falling straight out of the kinetics.

Monod growth kinetics with substrate/product yields•Media conditioning solved with the fermenter, not apart•The washout limit falls out of the kinetics

Growth medium

Media preheat

Monod fermenter

Broth

The actual dark-mode canvas: growth medium brought to fermentation temperature, then fed to a chemostat where Monod kinetics convert substrate into biomass.

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Dilution rate sets everything

At steady state a chemostat's growth rate equals its dilution rate, which fixes the residual substrate independently of the feed concentration — and pushing the dilution rate past the maximum growth rate washes the culture out entirely. Both the operating point and that cliff come from the same solved kinetics.

\mu = \frac{\mu_{max}\,S}{K_S + S} \quad \text{(Monod)}

D = \mu \quad \text{at chemostat steady state} \quad \Rightarrow \quad S^* = \frac{K_S D}{\mu_{max}-D}

D > \mu_{max} \Rightarrow \text{washout — the cells leave faster than they divide}

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Heater / cooler

Duty- or outlet-condition-specified energy-balance stage.

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Bioreactor

Continuous chemostat with Monod growth kinetics — substrate/product yield tracking.

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Live plant integration

Stream feed temperature, dilution rate and off-gas from the fermenter's OPC-UA server into this flowsheet's twin comparison — approaching washout is a sharp cliff, and the solved kinetics say where it is.

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