Wolfram Demonstrations Project

The total suspended solids concentration is given by:

The rate of the attachment step is taken as:

The uptake substrate into the biomass follows Monod kinetics:

Cell death is assumed to follow first-order kinetics:

Notation:

: mass transfer coefficient

: storable substrate fraction (dimensionless)

: saturation constant

: specific death rate

The model is described in detail in [1, Example 3.3.1. Model of a Batch Activated Sludge Process].

Reference

[1] J. B. Snape, I. J. Dunn, J. Ingham and J. E. Prenosil, Dynamics of Environmental Bioprocesses: Modelling and Simulation, New York: VCH, 1995.

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Activated Sludge Process in a Batch Reactor