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Department of Civil Engineering

Mathematical modelling of integrated chemical, physical and biological treatment of wastewaters

Abstract

dc:description.abstract

The development of a kinetic-based model to simulate chemical, physical and biological processes in three phase (gaseous-aqueous-solid) mixed weak acid/base systems is described. The chemical processes are expressed in terms of the kinetics of the forward and reverse reactions for the dissociation of the weak acid/bases. In this approach the H⁺ and all the species of the weak acidfbases of interest are included and the pH is calculated directly from H⁺ via pH = -log (H⁺). The advantage of this approach over the alkalinity/equilibrium chemistry approach is that kinetics are used throughout. Also, the approach is general and can be applied to any combination of mixed weak acid/base systems. The kinetic expressions of the carbonate, phosphate, ammonia, acetate and water systems, including the kinetics of the three phase chemical processes viz. precipitation/dissolution of calcium and magnesium phosphates and carbonates and gas stripping/dissolution of O₂, CO₂ and NH₃, were programmed into the AQUASIM shell package to generate simulation results. The chemical processes part of the model was validated by comparing steady state model predictions with those obtained from equilibrium chemistry based models such as STASOFT I and III (Loewenthal et al., 1986, 1991). Virtually identical results were obtained. The kinetic approach allowed integration of the biological kinetic processes of the IAWQ activated sludge model No 1 (Henze et al., 1987), to extend application of the model to situations where precipitation of minerals, stripping of gasses and biological processes take place in an environment where the pH does not remain constant. Where required the interaction between the chemical species and biological processes was included, e.g. CO₂ uptake for autotrophic nitrifier growth and NH₄⁺ uptake for heterotrophic growth and nitrification. Also, literature information on the effect of pH on the maximum specific growth rates of nitrifiers was included.

Degree

thesis:*
Grantor dc:publisher.institution
Department of Civil Engineering
Year dc:date.issued
1998

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Musvoto, Eustina Vongai
Advisors dc:contributor.advisor
  • Ekama, George A
  • Wentzel, Mark C
  • Loewenthal, Richard Eric

Rights

Language dc:language.iso
eng

Identifiers

dc:identifier.*
Handle dc:identifier.uri
http://hdl.handle.net/11427/9676
OAI identifier oai:identifier
oai:open.uct.ac.za:11427/9676

Chain of custody

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University of Cape Town
Base URL
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Last updated
2026-07-22
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citation

Musvoto, Eustina Vongai. Mathematical modelling of integrated chemical, physical and biological treatment of wastewaters. Department of Civil Engineering, 1998. http://hdl.handle.net/11427/9676