Traditionally, design geometries are represented using orthographic views which require a human being to interpret them and recognize geometric features to evaluate the design. Solid modeling systems have made the task somewhat easier, but they often require tedious and complex operations using simple geometric primitives. This has led to investigation of modeling systems which allow the creation of assemblies the way engineers conceive them - as features. To be able to efficiently describe models in terms of features, a rich set of feature descriptors are necessary. An exhaustive study of English words describing form, shape, feature, shape altering transformations and surface conditions was done to establish a wide vocabulary for feature based description. Classification based on topology and form was done and prototype constraint relations were implemented to differentiate between some features. A feature is created from a topological group by computing points and interpolating them with uniform rational B-spline patches. Control points needed to compute the patches are computed from the interpolation points by an inverse relation. A designer-oriented modeling language, based on simple English syntax, was devised to specify procedures to be executed by the modeler in order to create features using minimal user input. / Ph. D.

ABSTRACT The need to create socially inclusive public space has gained increasing attention among policy makers at the City of Johannesburg. A rise in the privatisation of public space has however been criticised by some analysts as exclusionary. In that context, this study explores the recent development of Gandhi Square as a central city heritage site which operates as privately-managed public space. The re-imaging of the Square has been inspired by M.K. Gandhi’s association with the site. As its main aim, the study assesses the effectiveness of heritage interventions made at the site in meeting their intended goal of addressing a legacy of spatial exclusion through the creation of socially inclusive public space. It evaluates the historical legacy of M.K. Gandhi as the figurehead for the new Square, considered in relation to issues of social inclusion and diversity. Further, the study explores whether the private management of Gandhi square accommodates diversity. It concludes that Gandhi Square is, on both a symbolic and functional level, broadly inclusive of diversity in the context of the Johannesburg inner city.

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Polyhedral foams offer large gas-liquid interfacial area associated with a small amount of liquid. Therefore, if a solute adsorbs preferentially at the interface, the concentration of the solute in the foam will be greater than in the solution from which the foam has been generated. This effect provides a simple method of concentrating materials which have a tendency to adsorb on the gas-liquid interface. This is particularly relevant to biomaterials like whole cells, proteins, enzymes etc., which are surface active and are present in low concentrations in the broth. Foam separation has therefore attracted considerable attention, and several reports exist in literature on concentrating cells, proteins and enzymes using foams. Foam separation is based on the difference in surface activity of the components to be separated. A surface active molecule consists of a lyophobic and a lyophilic group. (As water is commonly used as a solvent, the lyophilic and lyophobic groups are called hydrophilic and hydrophobic groups, respectively). When dissolved in a solvent, the presence of lyophobic groups in the interior of the solvent distorts the solvent liquid structure, thereby increasing the free energy of the system.

The aim of the work was to develop an understanding of the phenomenon of rate enhancement observed when a heterogeneous catalytic reaction system is irradiated by ultrasound. The system under investigation was the catalytic hydrogenation of an a, B - unsaturated ketone, using zinc dust and aqueous nickel chloride as a source of hydrogen. When a slurry of zinc particles and aqueous nickel chloride is stirred or sonicated, nickel deposits in the form of patches on the surface of the zinc particles and simultaneously, zinc dissolves into the solution in the form of zinc ions, a process called pitting corrosion. Hydrogen atoms are formed when hydrogen ions diffuse from the bulk, adsorb onto the nickel surface and take up electrons generated by the dissolution of zinc. Once the atoms are formed on the surface, the atoms combine to form hydrogen molecules, which desorb in the form of hydrogen gas. When ketone is added to this slurry, the hydrogen atom formed on the surface of nickel is used as the source of hydrogen for the hydrogenation reaction. In these processes, nickel serves as catalyst. The ketone first has to diffuse to the bulk, adsorb onto the surface of nickel and undergo reduction by the hydrogen atoms to form the product. The product then has to desorb from the surface and diffuse into the bulk, in order to create vacant sites on the nickel surface for the adsorption of more ketone. Experiments dealing with measurements of hydrogen evolution rates pointed out that hydrogen is not a limiting reactant, since evolution was sustained for long periods of time. The evolution rates versus time data revealed that the nature of the plots for both, the stirred and sonicated systems were similar. These facts lead us to infer that the basic mechanism of nickel deposition, pitting corrosion, etc. was similar for the two cases. To study the hydrogenation reaction, experiments were first conducted keeping the nickel catalyst surface area constant. The results of these experiments showed that the hydrogenation reaction can be explained by a first order mechanism. Changing the speed of the stirrer did not effect the rate of the reaction; hence it was inferred that the reaction was not external mass transfer controlled. It was also seen that there was an no significant difference in reaction rates between the stirred and sonicated systems. Hence we conclude that sonication does not effect any process involved in the actual process of hydrogenation, i.e., adsorption, desorption, surface reaction, etc., do not get effected. It was concluded that the observed rate enhancements of similar compounds in the same system occur only when nickel catalyst is being continuously formed. This is possible only if irradiation with ultrasound enhances the rate of formation of the surface area of the nickel deposit. To study this phenomena, experiments were conducted with continuous formation of nickel catalyst. These experiments were conducted in three ways - stirring with zinc dust, sonication with zinc dust and stirring with presonicated zinc dust. For the first two kinds of experiments, the rates were low, increased to a maximum value and then decreased, but the nature of the third kind of experiments were different. The initial rates were very high as compared to either of the other two kinds of experiments but the rate rapidly reduces and becomes comparable to the rates obtained by stirring with zinc dust. We conclude that sonication creates many active sites on the surface of the zinc particles in the form of crystal defects, which are perhaps necessary for the deposition of nickel. When presonicated zinc particles are used, there are large numbers of these sites and these get consumed rapidly when stirred with aqueous nickel chloride solution. In this work, we do not deal with this case. In the case of sonication with zinc dust, these active sites are continuously created and are consumed by nickel deposition. For the stirred system, these sites are quite small to start with and new ones are not generated since there is no irradiation by ultrasound. Hence, the rates in the latter case are low for both nickel deposition and the hydrogenation reaction. In the model, it was assumed that the rate of increase of surface area of nickel, characterized by a specific rate term k z, was proportional to the amount of nickel in the bulk and also to the amount of free zinc surface area available. Similarly, nickel which deposits on previously deposited nickel (characterized by another specific rate constant, kn) was proportional to the amount of nickel in the bulk, the nickel area already deposited and also the free zinc surface area available. The model is in excellent agreement with the experimental data obtained. The model predicted higher values of kn and kz for the sonicated system, indicating that the rate of deposition of nickel is much higher in this case than for the stirred system. Moreover, the model also predicts that the deposit in the case of a sonicated system is thinner and flatter, since it was seen that the surface area created for the same amount of nickel deposited was much higher in this case than the stirred system.

Nanoparticles have important applications in ceramics, metal catalysts, semiconductors etc. They are normally required to be of small size (~ nm) and monodisperse. The aim of the present work is to model the formation of nanoparticles, obtained by precipitation in reverse micellar microreactors. These are dispersions of tiny water drops in a surfactant laden oil medium. Two systems were investigated: (i) Reverse micelles, having nanometer sized spherical water droplets in the micellar core and (ii) Water-in-oil emulsions, having micron-sized aqueous drops. Two modes of precipitation, namely, gas-liquid (g-1) and liquid-liquid (1-1) were studied. In each case, the models could predict the number, average size and size distribution of the particles reported in literature. Two groups have obtained widely divergent number and size of CaCO3 nanoparticles, formed by g-1 precipitation in reverse micelles. These particles are used as a fine suspension in lube-oil additives, where they serve to neutralize acid produced during combustion in engines. Kandori et al. (J. Colloid Interface Sci, 122,1988, 78) obtained particles of about 100 nm size, by passing CO2 through a reverse micellar solution, containing dissolved Ca(OH)2 in the micellar core. Roman et al. (J. Colloid Interface Sci., 144,1991, 324), instead of using lime solution; added micron-sized solid lime particles in the oil and generated the reverse micelles by in situ reaction. This is a commercial process known as overbasing. It led to a higher amount of lime in the micelles as well as unreacted lime particles in oil, at the beginning of the experiment Upon passing CO2, they got particles of only 6 nm in size, compared to 100 nm reported by Kandori et al.. Furthermore, while Kandori et al. found that one particle formed from 108 micelles, Roman et al. got one particle out of only ten micelles. We have modelled the two processes in a common framework to explain the reported disparity in particle characteristics. A time scale analysis of CO2 mass transfer, reaction, collision-fusion of micelles, nucleation, and growth of particles was carried out It showed that, in the experiments of Kandori et al., the rate limiting steps are nucleation and fusion. The analysis also indicates that the contents of a particular micelle are well mixed and reaction of lime and incoming CO2 can be treated as instantaneous. In the process of Kandori et al., the amount of lime taken initially being very small, the average number of product molecules in a micelle is well below one. Rapid Brownian coalescence and exchange of micellar contents leads to Poisson distribution of CaCO3(l) molecules formed by reaction. The low occupancy therefore suggests that most of the micelles are empty. Nucleation in a particular micelle is much slow and occurs when it has a critical number of molecules. Thus only very few micelles can nucleate. Comparison of nucleation and growth time scales - both intrinsic growth in a micelle and growth during fusion of nucleated and non-nucleated micelles - show that growth is much faster than both nucleation and collision. Hence a micelle can have only one nucleus, with subsequent growth during collisions. A population balance equation (PBE) is written involving the above steps. Solution of the moments of the distribution yields the number of CaCO3 particles, its size, coefficient of variance (COV) etc. The model not only predicts the ratio of number of micelles to particles, obtained experimentally as 108, but also captures the maxima in this quantity with increasing micellar size. The increase in average particle size with micellar size is also predicted well. The process of of Roman et ai, in addition, involves the time scale of solubilization of solid lime into micelles. Its comparison with other time scales demarcates their experiments into two distinct phases. Phase I consists of reaction of lime initially present in micelles. Time scale analysis also suggests that, as the lime content in the micelles is large, a high degree of supersaturation is rapidly generated. This results in a burst of nuclei. The other conclusions, like, well-mixed micelle, Poisson distribution of CaCO3(l) molecules, instantaneous growth and mono-nucleated micelles are found to hold good. Once the pre-existing lime is finished, relative time scales indicate that, further precipitation is controlled entirely by fresh solubilization of lime. This marks the beginning of phase II. However, solubilization being the slowest step, CaCO3(l) in micelles never builds up for any further nucleation. Phase II thus consists of pure growth of the particles formed in phase I. On developing more general PBEs and with solution of resulting moment equations - written separately for the two phases - the experimental data on number of particles and temporal evolution to the final particle size of 6 nm could be predicted very well. The model also captures the qualitative trend in COV of particle radius with time. Thus within the same framework we could successfully predict both the results, differing by seven orders of magnitude. The above analysis indicates that relative rates of nucleation, fusion-growth and mass transfer of gas controls the carbonation process. We further simplify the process and obtain an analytical solution in the limit of instantaneous mass transfer. The solution gives close first estimates for both the experiments and also indicates the smallest panicle size that could be obtained for a given experimental condition. In contrast to g-1 mode, precipitation in 1-1 mode - using two reverse micellar solutions having two reactants- occurs only on coalescence of two micelles. To obviate the solution of multivariate PBEs, we have developed a general Monte Carlo (MC) simulation scheme for nanoparticle formation, using the interval of quiescence technique (IQ). Starting with a fixed number of micelles, we conduct each coalescence-redispersion and nucleation events in this population, in the ratio of their relative frequencies. Our simulation code is much more general and realistic than the scheme of Li and Park (Langmuir, 15,1999, 952). Poisson distribution with realistic micellar occupancies of reactants, binomial redispersion of solutes after fission, a nucleation rate with critical number of molecules and Brownian collision-fusion rates were used. These considerations are based on our earlier findings in g-1 precipitation and those known in the literature too. The simulation of Li and Park then becomes a special case of our code. Our simulation code was then used to predict experimental data on two systems. The results of Lianos and Thomas (Chem. Phys. Lett. 125, 1986, 299 and /. Colloid Interface 5c/., 117, 1987, 505), on number of molecules per CdS particle, as a function of micelle size and reactant concentrations have been predicted very well. For the Fe(OH)3 nanoparticles, our simulation provides a better prediction of the experimental particle size range, than that of Li and Park. Finally, 1-1 precipitation on mixing two emulsions, having respectively the two reactants, has been simulated. Here, large reactant amount leads to multiple nucleation in a single drop and renders growth rate to be finite. This requires solving a PBE for particle population in each drop. Moreover, emulsions have a drop size distribution due to independent coalescence and breakage. The IQ technique was used for handling these events. Thus a composite model of PBE and MC for a drop population was developed. Simulation of particle size distribution in MgCO3 precipitation shows that nearly monodisperse nanoparticles can be produced in emulsions. Furthermore, average particle size can be controlled by changing reactant concentration in a drop. The findings of the thesis have provided new issues to be addressed in modelling nanoparticle formation. It points out the importance of finding models for coalescence efficiency and critical nuclear size in micelles. Extension of our model and simulation to precipitation in other organized surfactant assemblies can be done by starting from appropriate time scale analysis.

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