MaximaLabs
All unit operations

Bioreactor simulation

1 inlet -> 1 outlet (Monod fermenter)

Governing equations

The exact equations the solver works for a bioreactor — the same math shown in the app's "Theory" panel, not a black box.

μ=μmaxSKs+S\mu = \mu_{max}\,\frac{S}{K_s + S}
μ=D=Q/V,S=KsDμmaxD,X=Yxs(SinS)\mu = D = Q/V,\quad S = \frac{K_s D}{\mu_{max}-D},\quad X = Y_{xs}(S_{in}-S)

Parameters

substrate (feed component), mu_max [1/s], Ks [mol/m^3], volume [m^3]; optional yield_xs, yield_px, biomass/product labels

Example flowsheets that use it

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