Browsing by Author "Lewis, A"
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- ItemOpen AccessA mathematical model of a high sulphate wastewater, anaerobic treatment system(1999) Knobel, Anthony N; Lewis, AHigh sulphate wastewaters, originating from industrial activity or from the biological oxidation of sulphide ores (acid mine drainage), cannot be discharged into the environment untreated. Apart from the high sulphate levels, these waters may be very acidic and have high dissolved heavy metal concentrations. One promising treatment technology is biological sulphate reduction in anaerobic reactors. During anaerobic treatment, sulphate is reduced to sulphide and alkalinity is generated, raising the pH and precipitating many of the heavy metals. The process requires a carbon source as an electron donor. This may be simple organics such as ethanol or volatile fatty acids, which are directly utilized by the sulphate reducing bacteria, or complex organics such as sewage sludge which must first undergo solubilization and fermentation by a different microbial group. As an aid to the design and operation of this treatment process, a mathematical model describing an anaerobic digester treating high sulphate waste waters has been developed. Apart from sulphate reduction, the model includes those reactions which occur either prior to sulphate reduction, or in competition with it. These include hydrolysis of solid substrates, acidogenesis, beta oxidation of long chain fatty acids, acetogenesis and methanogenesis. By incorporating terms for these reactions, the model is able to simulate sulphate reduction using a wide range of carbon sources. A comprehensive literature survey of the kinetic parameters for the above reactions was undertaken. Apart from the Monod equation describing substrate uptake the kinetic expressions used in the model also includes terms for: unionized fatty acid inhibition; unionized or total sulphide inhibition; hydrogen inhibition and hydrogen product regulation where appropriate; pH inhibition; and dual substrate uptake where appropriate. Acid/base equilibrium chemistry has been included in order to predict the pH and unionized component concentrations (needed for calculating inhibition). The weak acids, H₂CO₃, H₂S, a number of SCFAs, NH₃, and their ions, as well as the strongly dissociating sulphates Na₂SO₄ and H₂SO₄ are included. An activity based model was used, with the activity coefficients calculated using Debye-Hilckle theory. The mass transfer rates of hydrogen, methane, carbon dioxide and hydrogen sulphide from the liquid to the vapour phase are also included. A final aspect of the model is the equations describing the reactor geometry. A number of different reactors may be simulated, including a dynamic batch, steady state CSTR and dynamic CSTR. By separating the hydraulic and solids residence times, high rate reactors such as UASB and packed bed reactors may also be simulated. The model has been used to successfully predict the dynamic and steady state behaviour of a number of different reactor types, utilizing both simple and complex carbon sources.
- ItemOpen AccessQuantifying morphology of nickel crystals.(The Southern African Institute of Mining and Metallurgy, 2001) Lewis, A; Roberts, MParticle morphology is a term that is used to describe the overall external shape and appearance of particulate solids. From the physical point of view, a precipitated solid is characterized primarily by the size and morphology of the particles (Sohnel and Garside, 1992). If the morphology of the crystal structures is to be related to the processing conditions, then the morphologies need to be quantified in some way. This can be achieved by using surface area measurements as well as fractal dimensions. The key idea is that rugged and indeterminate systems can be described by using a fractional number that describes the ruggedness of the system (Kaye, 1989). In other words, when the complexity of a structure, such as an agglomerate, increases with increasing magnification, it is useful to employ fractal dimensions to describe the structure. Fractal geometry proposes that, instead of attempting to measure the length of an irregular boundary, the rate at which the length of the boundary approaches infinity with increasing resolution should be calculated. Cross-sectional profiles of rugged particles can thus be quantified using the fractal dimension, and a measurement of the ruggedness of the morphology obtained. One of the additional uses of measuring the fractal dimension is that the measured value can be related to the physical properties and formation characteristics of the particle (Kaye and Trottier, 1995).The morphology of nickel crystals was quantified with fractal dimension calculations of particle cross-sections. Particle crosssections were obtained by mounting the particles in resin and polishing back. These were then photographed using Scanning Electron Microscopy and the resulting profiles analysed using the structured walk technique.