Neste trabalho será investigado o comportamento de escoamentos de fluidos newtonianos e não-newtonianos em microcanais. O problema não-newtoniano, consiste em resolver as equações que regem o movimento para o caso de um escoamento de fluidos cujas propriedades reológicas possam ser estudadas pelo modelo constitutivo de Phan-Thien-Tanner, como por exemplo os materiais poliméricos. Uma das características interessantes de alguns destes materiais é que eles podem ser misturados com solventes apropriados, como uma solução eletrolítica, e o resultado é que este fluido como um todo passa a ter propriedades elétricas. Assim, além das propriedades viscoelásticas, será investigada a eletrocinética do escoamento, que é diretamente influenciado pela aplicação de um campo elétrico externo. Em particular o fenômeno de eletrosmose será estudado neste trabalho por meio de simulações numéricas em canais planos e bocais. Escoamentos através de bocais podem ser úteis na realização da mistura de fluidos. Neste trabalho, apresentamos uma aproximação numérica para a simulação dos vórtices que ocorrem logo após a passagem do fluido pela contração no bocal. Além disso, foram feitas simulações com potenciais dependentes do tempo e as variações nas propriedades do fluido viscoelástico para este tipo de escoamento. O movimento das cargas na solução é descrito pelas equações de Poisson-Nernst-Planck e para resolver numericamente este problema será aplicado o método das diferenças finitas generalizadas. O código para as simulações de escoamentos eletrosmóticas foi implementado como uma parte do sistema chamado HiG-Fow, que é capaz de realizar simulações de outros tipos de escoamentos além dos investigados nesta tese. A modularidade desse sistema possibilita ao usuário a implementação de pacotes de acordo com o tipo de escoamento a ser estudado. Os resultados obtidos indicam que a tensão viscoelástica é resistente a mudanças bruscas no escoamento, isto é, as oscilações da tensão normal dependem da frequência aplicada. Quanto maior a frequência menor é a amplitude do tensor. Esperamos que este trabalho contribua para um melhor entendimento de escoamentos dependente do tempo, possibilitando melhorias na tecnologia de dispositivos microfluidicos. / In this work the behavior of newtonian and non-Newtonian fluids in microchannels will be investigated. The non-Newtonian problem consists in solving the governing equations of the movement take into account a fluid flow whose rheological properties can be studied by the Phan- Thien-Tanner constitutive model, for example the polymeric materials. One of the interesting features of some of these materials is that they can be mixed with appropriate solvents, such as an electrolyte solution, and the resulting fluid has electrical properties. Thus, besides the viscoelastic properties, the electrokinetics of the flow will be investigated, which is directly influenced by the application of an external electric field. In particular the phenomenon of electro-osmosis will be studied in this work through numerical simulations in flat channels and nozzles. Flows through nozzles may be useful in performing the fluid mixture. In this work, we propose a numerical approximation for the simulation of the vortices that occur soon after the passage of the fluid by the contraction in the nozzle. In addition, simulations were made with time dependent potentials and the variations in viscoelastic fluid properties for this type of flow. The motion of the charges in the solution is described by the Poisson-Nernst-Planck equations and to solve numerically this problem will be applied the generalized finite difference method. The code for the simulations of electroosmotic flows was implemented as a part of the HiG-Fow system, which is able to perform simulations of other types of flows beyond those investigated in this thesis. The modularity of this system enables the user to implement packages according to the type of flow to be studied. The results indicate that the viscoelastic stress is resistant to abrupt changes on the flow, that is, the oscillations of the normal stress depend on the applied frequency. The higher the frequency the smaller the tensor amplitude. We hope that this work contributes to a better understanding of time-dependent flows, enabling improvements in the technology of microfluidic devices.

Neste trabalho será investigado o comportamento de escoamentos de fluidos newtonianos e não-newtonianos em microcanais. O problema não-newtoniano, consiste em resolver as equações que regem o movimento para o caso de um escoamento de fluidos cujas propriedades reológicas possam ser estudadas pelo modelo constitutivo de Phan-Thien-Tanner, como por exemplo os materiais poliméricos. Uma das características interessantes de alguns destes materiais é que eles podem ser misturados com solventes apropriados, como uma solução eletrolítica, e o resultado é que este fluido como um todo passa a ter propriedades elétricas. Assim, além das propriedades viscoelásticas, será investigada a eletrocinética do escoamento, que é diretamente influenciado pela aplicação de um campo elétrico externo. Em particular o fenômeno de eletrosmose será estudado neste trabalho por meio de simulações numéricas em canais planos e bocais. Escoamentos através de bocais podem ser úteis na realização da mistura de fluidos. Neste trabalho, apresentamos uma aproximação numérica para a simulação dos vórtices que ocorrem logo após a passagem do fluido pela contração no bocal. Além disso, foram feitas simulações com potenciais dependentes do tempo e as variações nas propriedades do fluido viscoelástico para este tipo de escoamento. O movimento das cargas na solução é descrito pelas equações de Poisson-Nernst-Planck e para resolver numericamente este problema será aplicado o método das diferenças finitas generalizadas. O código para as simulações de escoamentos eletrosmóticas foi implementado como uma parte do sistema chamado HiG-Fow, que é capaz de realizar simulações de outros tipos de escoamentos além dos investigados nesta tese. A modularidade desse sistema possibilita ao usuário a implementação de pacotes de acordo com o tipo de escoamento a ser estudado. Os resultados obtidos indicam que a tensão viscoelástica é resistente a mudanças bruscas no escoamento, isto é, as oscilações da tensão normal dependem da frequência aplicada. Quanto maior a frequência menor é a amplitude do tensor. Esperamos que este trabalho contribua para um melhor entendimento de escoamentos dependente do tempo, possibilitando melhorias na tecnologia de dispositivos microfluidicos. / In this work the behavior of newtonian and non-Newtonian fluids in microchannels will be investigated. The non-Newtonian problem consists in solving the governing equations of the movement take into account a fluid flow whose rheological properties can be studied by the Phan- Thien-Tanner constitutive model, for example the polymeric materials. One of the interesting features of some of these materials is that they can be mixed with appropriate solvents, such as an electrolyte solution, and the resulting fluid has electrical properties. Thus, besides the viscoelastic properties, the electrokinetics of the flow will be investigated, which is directly influenced by the application of an external electric field. In particular the phenomenon of electro-osmosis will be studied in this work through numerical simulations in flat channels and nozzles. Flows through nozzles may be useful in performing the fluid mixture. In this work, we propose a numerical approximation for the simulation of the vortices that occur soon after the passage of the fluid by the contraction in the nozzle. In addition, simulations were made with time dependent potentials and the variations in viscoelastic fluid properties for this type of flow. The motion of the charges in the solution is described by the Poisson-Nernst-Planck equations and to solve numerically this problem will be applied the generalized finite difference method. The code for the simulations of electroosmotic flows was implemented as a part of the HiG-Fow system, which is able to perform simulations of other types of flows beyond those investigated in this thesis. The modularity of this system enables the user to implement packages according to the type of flow to be studied. The results indicate that the viscoelastic stress is resistant to abrupt changes on the flow, that is, the oscillations of the normal stress depend on the applied frequency. The higher the frequency the smaller the tensor amplitude. We hope that this work contributes to a better understanding of time-dependent flows, enabling improvements in the technology of microfluidic devices.

Please read the abstract in the section 00front of this document. / Thesis (DPhil)--University of Pretoria, 2010. / Chemistry / unrestricted

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Transport properties of novel sulfonated wholly aromatic copolymers and the state-of-the-art poly(perfluorosulfonic acid) copolymer membrane for fuel cells, Nafion, were compared. Species transport (protons, methanol, water) in hydrated membranes was found to correspond with the water-self diffusion coefficient as measured by pulsed field gradient nuclear magnetic resonance (PFG NMR), which was used as a measure of the state of absorbed water in the membrane. Generally, transport properties decreased in the order Nafion > sulfonated poly(arylene ether sulfone) > sulfonated poly(imide). The water diffusion coefficients as measured by PFG NMR decreased in a similar fashion indicating that more tightly bound water existed in the sulfonated poly(arylene ether sulfone) (BPSH) and sulfonated poly(imide) (sPI) copolymers than in Nafion. Electro-osmotic drag coefficient (ED number of water molecules conducted through the membrane per proton) studies confirmed that the water in sulfonated wholly aromatic systems is more tightly bound within the copolymer morphology. Nafion, with a water uptake of 19 wt % (λ = 12, where λ = N H2O/SO3H) had an electro-osmotic drag coefficient of 3.6 at 60°C, while BPSH 35 had an electro-osmotic drag coefficient of 1.2 and a water uptake of 40 wt % (λ = 15) under the same conditions. Addition of phosphotungstic acid decreased the total amount of water uptake in BPSH/inorganic composite membranes, but increased the fraction of loosely bound water. Zirconium hydrogen phosphate/BPSH hybrids also showed decreased bulk water uptake, but contrary to the results with phosphotungstic acid, the fraction of loosely bound water was decreased. This dissimilar behavior is attributed to the interaction of phosphotungstic acid with the sulfonic acid groups of the copolymer thereby creating loosely bound water. No such interaction exists in the zirconium hydrogen phosphate materials. The transport properties in these materials were found to correspond with the water-self diffusion coefficients. Proton exchange membrane (PEM) transport properties were also found to be a function of the molecular weight of sulfonated poly(arylene thioether sulfone) (PATS). Low molecular weight (IV ~ 0.69) copolymers absorbed more water on the same ion exchange capacity basis than the high molecular weight copolymers (IV ~ 1.16). Surprisingly, protonic conductivity of the two series was similar. Moreover, the methanol permeability of the low molecular weight copolymers was increased, resulting in lower membrane selectivity and decreased mechanical properties. The feasibility of converting the novel sulfonated wholly aromatic systems to membrane electrode assemblies (MEAs) for use in fuel cells was studied by comparing free-standing membrane properties to those of MEAs assembled with standard Nafion electrodes. Significantly higher interfacial resistance was measured for BPSH samples. Fluorine was introduced into the copolymer backbone by utilizing bisphenol-AF in the copolymer synthesis (6F copolymers). These 6F copolymers showed a markedly lower interfacial resistance with Nafion electrodes and correspondingly greater direct methanol fuel cell performance. It was proposed that the addition of the hexafluoro groups increased the compatibility of the PEM with the highly fluorinated Nafion electrode. / Ph. D.

<p>Three chiral selectors (diketogulonic acid, benzoxycarbonylglycylproline and ketopinic acid) have been introduced for enantioseparation of pharmacologically active amines in non-aqueous capillary electrophoresis. The use of organic solvents, instead of aqueous buffers in the background electrolyte facilitated ion-pair formation between the analytes and the chiral selectors. The enantioresolution was strongly affected by the choice of selector and organic solvent but also depended on the other electrolytes. The most important parameter for the enantioresolution, apart from the choice of chiral selector, was the direction and magnitude of the electro-osmosis. Thus, covalently coated capillaries were used to suppress and to reverse this flow. Furthermore, the alkali metal hydroxide added to the background electrolyte had a great influence on the electro-osmosis. Exchanging LiOH for NaOH, was found to decrease the electro-osmotic flow. Interestingly, the flow was altered from cathodic to anodic, with KOH, RbOH or CsOH added to the ethanolic BGE. The occurrence of a reversed electro-osmosis had a great positive effect on the enantioresolution. An appropriate choice of solvent and electrolytes promoted also fast chiral separations, e.g., the enantiomers of isoprenaline were resolved within one minute. </p><p>The capillary electrophoresis systems developed within this work were applied for enantiomeric purity determinations of different pharmaceutical forms of drug products. A detection limit of 0.033 % was achieved for <i>1S,2R</i>-ephedrine, the enantiomeric impurity in Efedrin®, when diketogulonic acid was used as the selector. </p><p>By using the pre-concentration technique, transient isotachophoresis, the peak efficiency was enhanced for the enantiomers of timolol. This facilitated the introduction of a higher concentration of the sample into the capillary electrophoretic system containing ketopinic acid as the selector, and lowered the detection limit from 2.5 % to 0.2 % for the enantiomeric impurity <i>R</i>-timolol compared with injection without transient isotachophoresis.</p><p>The volatility of the non-aqueous media in capillary electrophoresis facilitated the hyphenation to mass spectrometry. The partial filling technique ensured that the selector did not contaminate the mass spectrometer, and the separated enantiomers of e.g., pronethalol were detected in the selector-free zone. </p>

Three chiral selectors (diketogulonic acid, benzoxycarbonylglycylproline and ketopinic acid) have been introduced for enantioseparation of pharmacologically active amines in non-aqueous capillary electrophoresis. The use of organic solvents, instead of aqueous buffers in the background electrolyte facilitated ion-pair formation between the analytes and the chiral selectors. The enantioresolution was strongly affected by the choice of selector and organic solvent but also depended on the other electrolytes. The most important parameter for the enantioresolution, apart from the choice of chiral selector, was the direction and magnitude of the electro-osmosis. Thus, covalently coated capillaries were used to suppress and to reverse this flow. Furthermore, the alkali metal hydroxide added to the background electrolyte had a great influence on the electro-osmosis. Exchanging LiOH for NaOH, was found to decrease the electro-osmotic flow. Interestingly, the flow was altered from cathodic to anodic, with KOH, RbOH or CsOH added to the ethanolic BGE. The occurrence of a reversed electro-osmosis had a great positive effect on the enantioresolution. An appropriate choice of solvent and electrolytes promoted also fast chiral separations, e.g., the enantiomers of isoprenaline were resolved within one minute. The capillary electrophoresis systems developed within this work were applied for enantiomeric purity determinations of different pharmaceutical forms of drug products. A detection limit of 0.033 % was achieved for 1S,2R-ephedrine, the enantiomeric impurity in Efedrin®, when diketogulonic acid was used as the selector. By using the pre-concentration technique, transient isotachophoresis, the peak efficiency was enhanced for the enantiomers of timolol. This facilitated the introduction of a higher concentration of the sample into the capillary electrophoretic system containing ketopinic acid as the selector, and lowered the detection limit from 2.5 % to 0.2 % for the enantiomeric impurity R-timolol compared with injection without transient isotachophoresis. The volatility of the non-aqueous media in capillary electrophoresis facilitated the hyphenation to mass spectrometry. The partial filling technique ensured that the selector did not contaminate the mass spectrometer, and the separated enantiomers of e.g., pronethalol were detected in the selector-free zone.

A numerical formulation for two-dimensional electro-osmotic consolidation in soft clays was derived from the basic equations of fluid flow, current flow and virtual work law. And, a well known elasto-plastic soil model, Modified Cam Clay was embedded into the formulation and implemented into the finite element program AFENA. The formulation was evaluated by comparing the predicted settlement and pore water pressure response with the values obtained from laboratory tests. The tests were conducted in an electro-osmotic triaxial apparatus, which was modified from a standard triaxial apparatus to facilitate electro-osmotic consolidation and required measurements. A series of electro-osmotic consolidation tests under different initial stress conditions were conducted to evaluate the finite element model and very good agreements between the observed and predicted results were observed. Another set of electro-osmotic tests were conducted with the similar initial stress, but different boundary conditions to examine the effects of electrochemical changes during the electro-osmosis. The study showed an apparent increase in the preconsolidation pressure and alteration in the coefficient of consolidation as a result of the electrochemical changes. A one-dimensional electro-osmotic consolidation problem was simulated and analysed, and the settlement and pore water pressure responses were compared with the solutions obtained from Esrig's (1968) one-dimensional theory. Another problem involving combined electro-osmotic and direct loading consolidation was also analysed and the results were compared with the solutions obtained from Wan and Mitchell's (1976) theory. Excellent matches were observed in both cases mentioned above for constant values of electro-osmotic and hydraulic permeabilities. However, the effects of varying electro-osmotic and hydraulic permeabilities, which are practically far more significant and not adopted in the theories mentioned above, were also analysed and the results presented. An attempt was made to simulate and analyse one of the successful field trial of electro-osmotic stabilisation conducted by Bjerrum et al (1967) on Norwegian quick clay. Good agreement between the predicted and reported settlement was observed for the first 50days of the treatment period. However, the model over-predicted the settlement after this period and the possible causes for this variation are discussed.

Thermally developing, electro-osmotically generated flow has been analyzed for a circular microtube under imposed constant wall temperature (CWT) and constant wall heat flux (CHF) boundary conditions. Established by a voltage potential gradient along the length of the microtube, the hydrodynamics of such a flow dictate either a slug flow velocity profile (under conditions of large tube radius-to-Debye length ratio, a/lambda_d) or a family of electro-osmotic flow (EOF) velocity profiles that depend on a/lambda_d. The imposed voltage gradient results in Joule heating in the fluid with an associated volumetric source of energy. For this scenario coupled with a slug flow velocity profile, the analytical solution for the fluid temperature development has been determined for both thermal boundary conditions. The local Nusselt number for the CHF boundary condition is shown to reduce to the classical slug flow thermal development for imposed constant wall heat flux, and is independent of Joule heating source magnitude. For the CWT boundary condition, a local minimum in the streamwise variation in local Nusselt number for moderate positive dimensionless inlet temperature is predicted. For negative dimensionless inlet temperature, which arises if the fluid entrance temperature is below the tube wall temperature, the fluid is initially heated, then cooled, resulting in a singularity in the local Nusselt number at the axial location of the heating/cooling transition. The thermal development length is considerably larger than for traditional pressure-driven flow heat transfer, and is a function of the magnitudes of Peclet number and dimensionless inlet temperature. For the EOF velocity profile scenario, numerical techniques were used to predict the fluid temperature development for both wall boundary conditions by utilizing a finite control volume approach. In addition to Joule heating as an energy source, viscous dissipation is also considered. The results predict that for decreasing a/lambda_d, the local Nusselt number decreases for all axial positions and the thermal development shortens for both wall boundary conditions. Viscous dissipation has significant effect only at intermediate values of a/lambda_d. Results predict local Nusselt numbers to increase for a CWT boundary condition and to decrease for an imposed constant wall heat flux with increasing viscous dissipation.