A systematic approach of testing and validating transition models is developed and employed in testing of a recently developed transition model. The testing methodology uses efficient computational tools and a wide range of test cases. The computational tools include a boundary layer code, single zone Navier Stokes solver, and a multi-block Navier Stokes solver which uses MPI and is capable of handling complex geometries and moving grids. Test cases include simple flat plate experiments, cascade experiments, and unsteady wake/blade interaction experiments. The test cases are used to test the predicting capabilities of the transition model under various effects such as free stream turbulence intensity, Reynolds number variations, pressure gradient, flow separation, and unsteady wake/blade interaction. Using the above test cases and computational tools a method is developed to validate transition models. The transition model is first implemented in boundary layer code and tested for simple flat plate cases. Then the transition model is implemented in single zone Navier Stokes solver and tested for hysteresis effects for flat plate cases. Finally the transition model is implemented in multi zone Navier Stokes solver and tested for compressor and turbine cascade cases followed by unsteady wake/blade interaction experiments. Using the method developed a new correlation based transition model (Menter et al. 2004) which uses local variables is tested and validated. The new model predicted good results for high free stream turbulence and high Reynolds number cases. For low free stream turbulence and low Reynolds number cases, the results were satisfactory.

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<p>In this project, I examine why the judicial authority of the United States Supreme Court has increased. I propose a theoretical explanation of endogenous institutional change at the Court whereby the actions of the Court---specifically its decisions and the opinions in which it announces those decisions---have, over the long-run, altered the structures of the American separation-of-powers system. The Court has built up public support for the institution of judicial review to such a degree that its rulings are respected even when opposed by strong political actors---including the public. I evaluate this theory by analyzing three important transitional periods of Supreme Court history. The first case study explores the Court under Chief Justice John Marshall, and examines how the Court established judicial review as the most important means of constitutional interpretation. The second case study explores the Court's first cases interpreting the three Reconstruction Amendments, and shows that through these decisions the Court established itself as the arbiter of the meaning of these new amendments. The third case study looks at the Court's decision to hear reapportionment cases and its articulation of the political question doctrine that provided a legalistic method of expanding the political power of the Court. I conclude from these case studies that my theory provides a useful explanation for the expansion of judicial authority.</p> / Dissertation

Metal membranes are useful for hydrogen separation from mixed gas streams. They can exhibit perfect selectivity for hydrogen. However, in order to be commercially viable, in addition to providing high hydrogen fluxes, they must also be resistant to poisoning, possess long operating lifetimes and be cost effective. Many types of metal membranes such as pure metals, disordered alloys and amorphous metals have been studied for this application. In this work, we aim to identify intermetallic stoichiometric compounds of two or more metals that could be used as potential membrane materials for hydrogen separation. In the past, first principle calculations combined with Monte Carlo methods have been developed that can accurately predict H₂ fluxes through metal membranes at different hydrogen pressures and temperatures. Although these models are accurate, they are computationally intensive. In this work, we use these methods and develop screening criteria based on calculated properties that enable us to perform detailed calculations on a diminishing set of materials and rapidly identify the favorable candidates for hydrogen separation. We screened 1059 intermetallics at this high level of theory, which is the largest set of materials studied for this application. We divided the intermetallics into Pd-based and non-Pd based materials using additional screening algorithms to reduce the number of calculations required to identify potential candidate materials. 8 intermetallics were identified that had permeabilities that was comparable or higher to that of pure Pd. MgZn₂ and MnTi were found to have the highest H permeabilities among all the intermetallics studied. In addition to ground state structures, metastable structures were also found to be stabilized in the presence of hydrogen. Our work demonstrates the ability of these computational methods to identify potential novel materials for specific applications from large sets of materials that would not be possible experimentally. In the models for hydrogen permeability developed above, H-induced metal lattice rearrangements were not considered. Experimental evidence suggests that hydrogen heat treated (HHT) Pd-Au alloys undergo lattice rearrangement that results in an ordered structure which has a higher solubility than the non-HHT alloys. Using a combination of cluster expansion methods developed for predicting hydrogen permeability of disordered alloys and Monte Carlo methods, we predicted the extent of H induced lattice rearrangement in Pd₉₆Au₄ and Pd₈₅Au₁₅ alloys. We also predicted the solubility, diffusivity and permeability of these rearranged phases and found that their H permeability is higher than the non-rearranged phases. Our models capture the H-induced lattice rearrangement and provide useful insight of the conditions where this phenomenon is significant. Using the tools developed in this work, similar alloys that have a tendency to undergo lattice rearrangement that results in enhanced H permeability can be identified.

This study was carried out to determine whether or not attachment would enhance our ability to predict the breakup of nonmarital romantic relationships. In phase one of the study, 217 introductory psychology students completed measures of attachment, satisfaction, investments, alternatives, commitment, length of current relationship, and asserts that commitment to a relationship will be greater to hundred thirteen of these individuals were contacted seven weeks later to follow-up on the status of their relationships. Fifty-four of these relationships had ended at follow-up. Through regression analyses, only moderate support was found for the investment model. This model the extent that an individual is highly satisfied, has invested heavily in it, and does not see his/her alternatives as particularly attractive. Contrary to predictions, than it was to the length of the of time spent associating with the attachment was found to be more strongly related to investments and commitment relationship or the amount partner. Whatever contribution attachment may have made to the prediction of breakup appears to have been suppressed by commitment, which was found to be the best single predictor of breakup. Finally, more women than men were found to be the initiators of the breakup of their relationships, but these differences were only marginally significant. / Department of Psychological Science

In order to reduce the amount of pollution that is generated by burning fossil fuels alternative energy sources should be explored. Hydrogen has been identified as the most promising replacement for fossil fuels and can be produced by using the Hybrid Sulphur (HyS) cycle. Currently the SO2/O2 separation step in the HyS process has a large amount of knock out drums. The aim of this study was to investigate new technology to separate the SO2 and O2. The technology that was identified and investigated was to separate the SO2 and O2 by absorbing the SO2 into an ionic liquid. In this study the maximum absorption, absorption rate and desorption rate of SO2 from the ionic liquid [BMIm][MeSO4] with purities of 95% and 98% was investigated. These ionic liquid properties were investigated for pure O2 at pressures ranging from 1.5 to 9 bar(a) and for pure SO2 at pressures from 1.5 to 3 bar(a) at ambient temperature. Experiments were also carried out where the composition of the feed-stream to the ionic liquid was varied with compositions of 0, 25, 50, 75 and 100 mol% SO2 with O2 as the balance. For each of these compositions the temperature of the ionic liquid was changed from 30oC to 60oC, in increments of 10oC. The absorption rate of SO2 in the ionic liquid increased when the mole percentage SO2 in the feed stream was increased. When the temperature of the ionic liquid was decreased the maximum amount of SO2 that the ionic liquid absorbed increased dramatically. However, the absorption rate was not influenced by a change in the absorption temperature. The experimental results for the maximum SO2 absorption were modelled with the Langmuir absorption model. The model fitted the data well, with an average standard deviation of 17.07% over all the experiments. In order to determine if the absorption reaction was endothermic or exothermic the Clausius-Clapeyron equation was used to calculate the heat of desorption for the desorption step. The heat of desorption data indicated that the desorption of SO2 from this ionic liquid was an endothermic reaction because the heat of desorption values was positive. Therefore the absorption reaction was exothermic. From the pressure-change experiments the results showed that the mole percentage of O2 gas that was absorbed into the ionic liquid was independent of the pressure of the O2 feed.On the other hand, there was a clear correlation between the mole percentage SO2 that was absorbed into the ionic liquid and the feed pressure of the SO2. When the feed pressure of the SO2 was increased the amount of SO2 absorbed also increased, this trend was explained with Fick’s law. In the study the effect of the ionic liquid purity on the SO2 absorption capacity was investigated. The experimental results for the pressure experiments showed that the 95% and 98% pure ionic liquid absorbed about the same amount of SO2. During the temperature experiments the 95% pure ionic liquid absorbed more SO2 than the 98% pure ionic liquid for all but two of the experiments. However the 95% pure ionic liquid also absorbed small amounts of O2 at 30 and 40oC which indicated that the 95% pure ionic liquid had a lower selectivity than the 98% pure ionic liquid. Therefore, the 95% pure ionic liquid had better SO2 absorption capabilities than the 98% pure ionic liquid. These result showed that the 98% pure ionic liquid did not absorb more SO2 than the 95% pure ionic liquid, but it did, however, show that the 98% pure ionic liquid had a better selectivity towards the SO2. Hence, it can be concluded that even with the O2 that is absorbed it would be economically more advantageous to use the less expensive 95% pure ionic liquid rather than the expensive 98% pure ionic liquid, because the O2 would not influence the performance of the process negatively in such low quantities. / Thesis (MIng (Chemical Engineering))--North-West University, Potchefstroom Campus, 2013

In order to reduce the amount of pollution that is generated by burning fossil fuels alternative energy sources should be explored. Hydrogen has been identified as the most promising replacement for fossil fuels and can be produced by using the Hybrid Sulphur (HyS) cycle. Currently the SO2/O2 separation step in the HyS process has a large amount of knock out drums. The aim of this study was to investigate new technology to separate the SO2 and O2. The technology that was identified and investigated was to separate the SO2 and O2 by absorbing the SO2 into an ionic liquid. In this study the maximum absorption, absorption rate and desorption rate of SO2 from the ionic liquid [BMIm][MeSO4] with purities of 95% and 98% was investigated. These ionic liquid properties were investigated for pure O2 at pressures ranging from 1.5 to 9 bar(a) and for pure SO2 at pressures from 1.5 to 3 bar(a) at ambient temperature. Experiments were also carried out where the composition of the feed-stream to the ionic liquid was varied with compositions of 0, 25, 50, 75 and 100 mol% SO2 with O2 as the balance. For each of these compositions the temperature of the ionic liquid was changed from 30oC to 60oC, in increments of 10oC. The absorption rate of SO2 in the ionic liquid increased when the mole percentage SO2 in the feed stream was increased. When the temperature of the ionic liquid was decreased the maximum amount of SO2 that the ionic liquid absorbed increased dramatically. However, the absorption rate was not influenced by a change in the absorption temperature. The experimental results for the maximum SO2 absorption were modelled with the Langmuir absorption model. The model fitted the data well, with an average standard deviation of 17.07% over all the experiments. In order to determine if the absorption reaction was endothermic or exothermic the Clausius-Clapeyron equation was used to calculate the heat of desorption for the desorption step. The heat of desorption data indicated that the desorption of SO2 from this ionic liquid was an endothermic reaction because the heat of desorption values was positive. Therefore the absorption reaction was exothermic. From the pressure-change experiments the results showed that the mole percentage of O2 gas that was absorbed into the ionic liquid was independent of the pressure of the O2 feed.On the other hand, there was a clear correlation between the mole percentage SO2 that was absorbed into the ionic liquid and the feed pressure of the SO2. When the feed pressure of the SO2 was increased the amount of SO2 absorbed also increased, this trend was explained with Fick’s law. In the study the effect of the ionic liquid purity on the SO2 absorption capacity was investigated. The experimental results for the pressure experiments showed that the 95% and 98% pure ionic liquid absorbed about the same amount of SO2. During the temperature experiments the 95% pure ionic liquid absorbed more SO2 than the 98% pure ionic liquid for all but two of the experiments. However the 95% pure ionic liquid also absorbed small amounts of O2 at 30 and 40oC which indicated that the 95% pure ionic liquid had a lower selectivity than the 98% pure ionic liquid. Therefore, the 95% pure ionic liquid had better SO2 absorption capabilities than the 98% pure ionic liquid. These result showed that the 98% pure ionic liquid did not absorb more SO2 than the 95% pure ionic liquid, but it did, however, show that the 98% pure ionic liquid had a better selectivity towards the SO2. Hence, it can be concluded that even with the O2 that is absorbed it would be economically more advantageous to use the less expensive 95% pure ionic liquid rather than the expensive 98% pure ionic liquid, because the O2 would not influence the performance of the process negatively in such low quantities. / Thesis (MIng (Chemical Engineering))--North-West University, Potchefstroom Campus, 2013

Pure fluorocarbon gases can be sold for up to 30 USD/kg, if they were manufactured locally. Due to the absence of local demand, South Africa at present has less than 0.3 % of the fluorochemical market and most fluoro–products used in the South African industry are currently imported. The depolymerisation of waste polytetrafluoroethylene (PTFE or Teflon) filters in a nitrogen plasma reactor results in the mixture of gases which includes N2, CF4 and C3F6. An existing challenge entails the separation of these gases, which is currently attained by an energy intensive cryogenic distillation process. Both the small energy requirements as well as the small process streams required, make a membrane separation an ideal alternative to the current distillation process. Based on our research groups existing expertise in the field of zeolite membranes, it was decided to investigate the separation capability of zeolite (MFI, NaA, NaY, and hydroxysodalite) coated tubular ceramic membranes for the separation of the above mentioned gases. The separation study was subdivided into adsorption studies as well as single and binary component studies. CxFy gas adsorption on MFI zeolites. Tetrafluoromethane (CF4) and hexafluoropropylene (C3F6) were adsorbed on zeolite ZSM–5 and silicalite–1 to help explain permeation results through zeolite membranes. According to the obtained data, the separation of CF4 and C3F6 would be possible using adsorption differences. The highest ideal selectivities (~ 15) were observed at higher temperatures (373 K). While the CF4 adsorption data did not fit any isotherm, the heat of adsorption for C3F6 adsorbed on ZSM–5 and silicalite–1 was calculated as –17 and –33 kJ/mol respectively. Single gas permeation. A composite ceramic membrane consisting of a ceramic support structure, a MFI intermediate zeolite layer and a Teflon AF 2400 top layer was developed for the separation of N2, CF4 and C3F6. The adsorption properties of the Teflon AF 2400 sealing layer was investigated. A theoretical selectivity, in terms of the molar amount of gas adsorbed, of 26 in favour of the C3F6 vs CF4 was calculated, while the N2 adsorption remained below the detection limit of the instrument. While the ideal N2/CF4 and N2/C3F6 selectivities for the MFI coated support were either near or below Knudsen, it was 5 and 8 respectively for the Teflon coated support. Ideal selectivities improved to 86 and 71 for N2/CF4 and N2/C3F6 when using the composite ceramic membrane, while CF4/C3F6 ideal selectivities ranged from 0.9 to 2, with C3F6 permeating faster though the composite ceramic membrane. Zeolite based membrane separation. Inorganic membranes (?–alumina support, NaA, NaY, hydroxysodalite, MFI) and composite membranes (Teflon layered ceramic and composite ceramic membrane) were synthesized and characterized using the non–condensable gases N2, CF4 and C3F6. For the inorganic membranes either near or below Knudsen selectivities were obtained during single gas studies, while higher selectivities were obtained for the composite membranes. Subsequently, the MFI, hydroxysodalite and both composite membranes were chosen for binary mixture separation studies. The membranes exhibited binary mixture permeances in the order Teflon layered ceramic > hydroxysodalite > MFI > composite ceramic, which was comparable to the single gas permeation results. The highest separation for N2/CF4 (4) and N2/C3F6 (2.4) was obtained with the composite ceramic membrane indicating that the Teflon layer was effective in sealing non–zeolitic pore in the intermediate zeolite layer. The aim of this project was met successfully by investigating a method of fluorocarbon gas separation by zeolite based membranes using various inorganic and composite membranes with single and binary mixtures. / Thesis (Ph.D. (Chemistry))--North-West University, Potchefstroom Campus, 2012.

South Africa is a land blessed with an abundance of mineral deposits. Yet, despite this, very little value adding of minerals exists. Most of the mined minerals are exported, where it is reworked into valued items. The country subsequently imports the valuable items at a much higher cost. In the 2006/7 financial year, the government made the decision to support several projects aimed at adding value to the mined minerals and by so doing, creating job opportunities. One such project was identified for the mineral Fluorite (CaF2). Fluorite is exposed to a controlled burn in a plasma reactor, producing an array of different fluorocarbon gases used in the electronics industry and for commercial polymers like Teflon®. Currently, fluorocarbon gases are separated using a series of cryogenic distillation columns. Although this technique has proven to be successful, it has several negative aspects such as the high cost involved when operating at cryogenic conditions as well as difficulty handling the gases at these sub–zero temperatures. It was proposed to study the possibility of using membranes to separate fluorocarbon gases at ambient conditions. Several membranes were screened to determine which one is best suited for this application. Two Teflon® based membranes were selected from this data. One of the membranes had a PAN support, while the other had a PEI support. Pure gas data for both membranes showed promising results. It yielded the highest flux for C3F6, followed by N2 and CF4. c–C4F8 was not used because it was demonstrated that the gas tends to condensate at low pressures. It is recommended to rather use pressure swing condensation to remove this gas from the mixture before the remainder is purified using membranes. Both membranes behaved similarly, with selectivity between C3F6 and CF4, and N2 and CF4; all above 10. By including the permeate pressure in the Solution–diffusion model, it was possible to model the pure gas data Binary feed gas mixture experiments showed a large amount of coupling existing between the feed gas mixtures. The result is a decrease in the selectivity as well as the total flux of the gas mixture. Partial fluxes were modelled by introducing a thermodynamic factor that was shown to follow a power law equation. The PAN–supported membrane outperformed the PEI–supported one; it was decided to use this membrane from this point onwards. Analysis of the ternary feed mixtures showed a strong selectivity towards the gas abundant in the feed blend. The existence of convective diffusion was proven, and included in the modelling, as well as a breakthrough pressure constant. This is indicative of strong interaction between the different gases and the membrane. Throughout the study it became clear that the difference in surface charge between the gases and the membrane were decisive. Opposite charges between a gas (C3F6) and the membrane aided in gas permeation. Membrane separation of fluorocarbon gases at ambient conditions is possible. Teflon® based membranes are recommended. It will be advantageous to study the effect of elevated temperatures on the separation efficiency of such a system. / Thesis (M.Ing. (Chemical Engineering))--North-West University, Potchefstroom Campus, 2012.

Hybrid membranes represent a promising alternative to the limitations of organic and inorganic materials for high productivity and selectivity gas separation membranes. In this study, the previously developed concept of emulsion-polymerized mixed matrix (EPMM) membranes was further advanced by investigating the effects of surfactant and compatibilizer on inorganic loading in poly(2,6-dimethyl-1,4-phenylene oxide) (PPO)-based EPMM membranes, in which inorganic part of the membranes originated from tetraethylorthosilicate (TEOS). The polymerization of TEOS, which consists of hydrolysis of TEOS and condensation of the hydrolyzed TEOS, was carried out as (i) one- and (ii) two-step processes. In the one-step process, the hydrolysis and condensation take place in the same environment of a weak acid provided by the aqueous solution of aluminum hydroxonitrate and sodium carbonate. In the two-step process, the hydrolysis takes place in the environment of a strong acid (solution of hydrochloric acid), whereas the condensation takes place in weak base environment obtained by adding excess of the ammonium hydroxide solution to the acidic solution of the hydrolyzed TEOS. For both one- and two-step processes, the emulsion polymerization of TEOS was carried out in two types of emulsions made of (i) pure trichloroethylene (TCE) solvent, and (ii) 10 w/v% solution of PPO in TCE, using different combinations of the compatibilizer (ethanol) and the surfactant (n-octanol). The experiments with pure TCE, which are referred to as a gravimetric powder method (GPM) allowed assessing the effect of different experimental parameters on the conversion of TEOS. The GPM tests also provided a guide for the synthesis of casting emulsions containing PPO, from which the EPMM membranes were prepared using a spin coating technique. The synthesized EPMM membranes were characterized using 29Si nuclear magnetic resonance (29Si NMR), differential scanning calorimetry (DSC), inductively coupled plasma mass spectrometry (ICP-MS), and gas permeation measurements carried out in a constant pressure (CP) system. The 29Si NMR analysis verified polymerization of TEOS in the emulsions made of pure TCE, and the PPO solution in TCE. The conversions of TEOS in the two-step process in the two types of emulsions were very close to each other. In the case of the one-step process, the conversions in the TCE emulsion were significantly greater than those in the emulsion of the PPO solution in TCE. Consequently, the conversions of TEOS in the EPMM membranes made in the two-step process were greater than those in the EPMM membranes made in the one-step process. The latter ranged between 10 - 20%, while the highest conversion in the two-step process was 74% in the presence of pure compatibilizer with no surfactant. Despite greater conversions and hence the greater inorganic loadings, the EPMM membranes prepared in the two-step process had glass transition temperatures (Tg) only slightly greater than the reference PPO membranes. In contrast, despite relatively low inorganic loadings, the EPMM membranes prepared in the one-step process had Tgs markedly greater than PPO, and showed the expected trend of an increase in Tg with the inorganic loading. These results indicate that in the case of the one-step process the polymerized TEOS was well integrated with the PPO chains and the interactions between the two phases lead to high Tgs. On the other hand, this was not the case for the EPMM membranes prepared in the two-step process, suggesting possible phase separation between the polymerized TEOS and the organic phase. The latter was confirmed by detecting no selectivity in the EPMM membranes prepared by the two-step process. In contrast, the EPMM membranes prepared in the one-step process in the presence of the compatibilizer and no surfactant showed 50% greater O2 permeability coefficient and a slightly greater O2/N2 permeability ratio compared to the reference PPO membranes.