Water-assisted Flow of Heavy Oil in a Vertical Pipe: Pilot-scale Experiments

The use of the core-annular flow pattern, where a thin fluid surrounds a very viscous one, has been suggested as an attractive artificial-lift method for heavy oils in the current Brazilian ultra-deepwater production scenario. This paper reports the pressure drop measurements and the core-annular flow observed in a 2 7/8-inch and 300 meter deep pilot-scale well conveying a mixture of heavy crude oil (2000 mPa.s and 950 kg/m3 at 35 C) and water at several combinations of the individual flow rates. The two-phase pressure drop data are compared with those of single-phase oil flow to assess the gains due to water injection. Another issue is the handling of the core-annular flow once it has been established. High-frequency pressure-gradient signals were collected and a treatment based on the Gabor transform together with neural networks is proposed as a promising solution for monitoring and control. The preliminary results are encouraging. The pilot-scale tests, including long-term experiments, were conducted in order to investigate the applicability of using water to transport heavy oils in actual wells. It represents an important step towards the full scale application of the proposed artificial-lift technology. The registered improvements in terms of oil production rate and pressure drop reductions are remarkable.

Occurrence of molds on laminated paperboard for aseptic packaging, selection of the most hydrogen peroxide- and heat-resistant isolates and determination of their thermal death kinetics in sterile distilled water

This study aimed at enumerating molds (heat-labile and heat-resistant) on the surface of paperboard material to be filled with tomato pulps through an aseptic system and at determining the most heat-and hydrogen peroxide-resistant strains. A total of 118 samples of laminated paperboard before filling were collected, being 68 before and 50 after the hydrogen peroxide bath. Seven molds, including heat-resistant strains (Penicillium variotii and Talaromyces flavus) with counts ranging between 0.71 and 1.02 CFU/cm(2) were isolated. P. variotii was more resistant to hydrogen peroxide than T. flavus and was inactivated after heating at 85 degrees C/15 min. When exposed to 35 % hydrogen peroxide at 25 degrees C, T. flavus (F5E2) and N. fischeri (control) were less resistant than P. variotti (F1A1). P. citrinum (F7E2) was shown to be as resistant as P. variotti. The D values (the time to cause one logarithmic cycle reduction in a microbial population at a determined temperature) for spores of P. variotii (F1A1) and N. fischeri (control) with 4 months of age at 85 and 90 degrees C were 3.9 and 4.5 min, respectively. Although the contamination of packages was low, the presence of heat-and chemical-resistant molds may be of concern for package sterility and product stability during shelf-life. To our knowledge, this is the first report that focuses on the isolation of molds, including heat-resistant ones, contaminating paperboard packaging material and on estimating their resistance to the chemical and physical processes used for packaging sterilization.

Comparison of Ozone and Chlorine in Low Concentrations as Sanitizing Agents of Chicken Carcasses in the Water Immersion Chiller

The aim of this study was to investigate the effects of the use of chlorine or ozone as sanitizing agents in the water of chicken immersion chilling, using the residual levels usually applied in Brazil (1.5 ppm), comparing the effects of these treatments on the microbiological, physicochemical, and sensory characteristics of carcasses. Chicken carcasses were chilled in water (4 degrees C) with similar residual levels of ozone and chlorine until reaching temperatures below 7 degrees C (around 45 min). The stability of carcasses was assessed during 15 days of storage at 2 +/- 1 degrees C. Microbiological, surface color (L*, a*, b* parameters), pH value, lipid oxidation (thiobarbituric acid reactive substances index), and sensory evaluation (on a 9-point hedonic scale for odor and appearance) analyses were carried out. The presence of Salmonella was not detected, coagulase-positive staphylococci counts were below 10(2) CFU/ml of rinse fluid, and Escherichia coil and total coliform counts were below 10(5) CFU/ml of rinse fluid until the end of the storage period for both treatments. Psychrotrophic microorganism counts did not differ (P > 0.05) between chlorine and ozone treatments, and both values were near 10(9) CFU/ml of rinse fluid after 15 days at 4 +/- 1 degrees C. pH values did not differ between treatments (P > 0.05) or during the storage period (P > 0.05). In addition, neither chlorine nor ozone treatment showed differences (P > 0.05) in the lipid oxidation of carcasses; however, the thiobarbituric acid reactive substances index of both treatments increased (P <= 0.05) during the storage period, reaching values of approximately 0.68 mg of malonaldehyde per kg. Samples from both treatments did not differ (P > 0.05) in their acceptance scores for odor and overall appearance, but in the evaluation of color, ozone showed an acceptance score significantly higher (P <= 0.05) than that for the chlorine treatment. In general, under the conditions tested, ozone showed results similar to the results for chlorine in the disinfection of chicken carcasses in the immersion chilling, which may indicate its use as a substitute for chlorine in poultry slaughterhouses.

Application of tetra-isopalmitoyl ascorbic acid in cosmetic formulations: Stability studies and in vivo efficacy

Liposoluble vitamin C derivatives, such as tetra-isopalmitoyl ascorbic acid (IPAA), are often used in dermocosmetic products due to their higher stability than vitamin C free form as well as its proposed effects in skin; however, there are no studies analyzing IPAA stability or its in vivo effects when present in dermocosmetic formulations. Thus, this study aimed to evaluate chemical stability and pre-clinical and clinical efficacy of dermocosmetic formulations containing IPAA in skin hydration and microrelief. Chemical stability of the formulations added with 1% IPAA was evaluated by heat stress during 35 days by HPLC. For pre-clinical evaluation, experimental formulations were topically applied on hairless skin mice during 5 days and animal skins were analyzed by non-invasive biophysic techniques (water content of stratum corneum, TEWL, viscoelasticity, and microrelief) and by histopathological studies. For clinical efficacy tests, the formulations were topically applied to the forearm and face of human volunteers, and 3 h and 15 days after applications, the skins were evaluated by the same non-invasive techniques mentioned before. Results showed that formulations containing IPAA had medium stability and had pronounced moisturizing effects on stratum corneum and on viable epidermis. These formulations also improved skin microrelief especially in relation to skin smoothness and roughness. (C) 2012 Elsevier B.V. All rights reserved.

Study of La2-xCaxCuO4 perovskites for the low temperature water gas shift reaction

The effects of small fractions of calcium (x = 0, 0.05, 0.1, 0.15, and 0.20) on the structure and the catalytic properties of La2-xCaxCuO4 peroviskites have been investigated. The samples have been synthesized using the co-precipitation method. Perovskite-type oxides were characterized by XRD, TPR, XPS, XANES, SEM, and TEM. Catalytic tests for the water gas shift reaction (WGSR) were carried out in a tubular reactor at 290 degrees C. All samples showed a well-defined perovskite structure with surface areas between 6 and 18 m(2) g(-1). The partial substitution of La by Ca enhanced the stability of the perovskites and increased their reduction temperature. All catalysts were actives for WGSR, and the best catalytic performance was obtained for the La1.85Ca0.15CuO4 catalyst, but the samples with 5 and 10% of Ca had the best TOF values for reaction. These results can be associated to promoter effect of calcium, the high surface area, and the reducible species Cu-0 and Cu1+. (C) 2011 Elsevier B.V. All rights reserved.

Geometrical and kinematic properties of interfacial waves in stratified oil-water flow in inclined pipe

The stratified oil-water flow pattern is common in the petroleum industry, especially in offshore directional wells and pipelines. Previous studies have shown that the phenomenon of flow pattern transition in stratified flow can be related to the interfacial wave structure (problem of hydrodynamic instability). The study of the wavy stratified flow pattern requires the characterization of the interfacial wave properties, i.e., average shape, celerity and geometric properties (amplitude and wavelength) as a function of holdup, inclination angle and phases' relative velocity. However, the data available in the literature on wavy stratified flow is scanty, especially in inclined pipes and when oil is viscous. This paper presents new geometric and kinematic interfacial wave properties as a function of a proposed two-phase Froude number in the wavy-stratified liquid-liquid flow. The experimental work was conducted in a glass test line of 12 m and 0.026 m id., oil (density and viscosity of 828 kg/m(3) and 0.3 Pa s at 20 degrees C, respectively) and water as the working fluids at several inclinations from horizontal (-20 degrees, -10 degrees, 0 degrees, 10 degrees, 20 degrees). The results suggest a physical relation between wave shape and the hydrodynamic stability of the stratified liquid-liquid flow pattern. (C) 2011 Elsevier Inc. All rights reserved.

Food lipids: their effects on quality and oxidative stability of animal tissues and emulsions

Lipolysis and oxidation of lipids in foods are the major biochemical and chemical processes that cause food quality deterioration, leading to the characteristic, unpalatable odour and flavour called rancidity. In addition to unpalatability, rancidity may give rise to toxic levels of certain compounds like aldehydes, hydroperoxides, epoxides and cholesterol oxidation products. In this PhD study chromatographic and spectroscopic techniques were employed to determine the degree of lipid oxidation in different animal products and its relationship with technological parameters like feeding fat sources, packaging, processing and storage conditions. To achieve this goal capillary gas chromatography (CGC) was employed not only to determine the fatty acids profile but also, after solid phase extraction, the amount of sterols (cholesterol and phytosterols) and cholesterol oxidation products (COPs). To determine hydroperoxides, primary products of oxidation and quantify secondary products UV/VIS absorbance spectroscopy was applied. Beef and pork meat in this study were analysed. In actual fact, lipid oxidation is a major deterioration reaction in meat, meat products and results in adverse changes in the colour, flavour, texture of meat and develops different compounds which should be a risk to human health as oxysterols. On beef and pork meat, a study of lipid fraction during storage was carried out to evaluate its shelf-life and some nutritional features life saturated/unsaturated fatty acids ratio and sterols content, in according to the interest that has been growing around functional food in the last years. The last part of this research was focused on the study of lipid oxidation in emulsions. In oil-in-water emulsions antioxidant activity of 1,2-dioleoyl-sn-glycero-3-phosphocholine (DOPC) was evaluated. The rates of lipid oxidation of 1.0% stripped soybean oil-in-water emulsions with DOPC were followed by monitoring lipid hydroperoxide and hexanal as indicators of primary and secondary oxidation products and the droplet surface charge or zeta potential (ζ) of the emulsions with varying concentrations of DOPC were tested. This manuscript reports the main results obtained in the three activities briefly summarized as follows: 1. study on effects of feeding composition on the photoxidative stability of lipids from beef meat, evaluated during storage under commercial retail conditions; 2. evaluation of effects of diets and storage conditions on the oxidative stability of pork meat lipids; 3. study on oxidative behavior of DOPC in stripped soybean oil-in-water emulsions stabilized by nonionic surfactant.

New catalysts for the water gas shift reaction at middle-temperature

H2 demand is continuously increasing since its many relevant applications, for example, in the ammonia production, refinery processes or fuel cells. The Water Gas Shift (WGS) reaction (CO + H2O = CO2 + H2 DeltaH = -41.1 kJ.mol-1) is a step in the H2 production, reducing significantly the CO content and increasing the H2 one in the gas mixtures obtained from steam reforming. Industrially, the reaction is carried out in two stages with different temperature: the first stage operates at high temperature (350-450 °C) using Fe-based catalysts, while the second one is performed at lower temperature (190-250 °C) over Cu-based catalysts. However, recently, an increasing interest emerges to develop new catalytic formulations, operating in a single-stage at middle temperature (MTS), while maintaining optimum characteristics of activity and stability. These formulations may be obtained by improving activity and selectivity of Fe-based catalysts or increasing thermal stability of Cu-based catalysts. In the present work, Cu-based catalysts (Cu/ZnO/Al2O3) prepared starting from hydrotalcite-type precursors show good homogeneity and very interesting physical properties, which worsen by increasing the Cu content. Among the catalysts with different Cu contents, the catalyst with 20 wt.% of Cu represents the best compromise to obtain high catalytic activity and stability. On these bases, the catalytic performances seem to depend on both metallic Cu surface area and synergetic interactions between Cu and ZnO. The increase of the Al content enhances the homogeneity of the precursors, leading to a higher Cu dispersion and consequent better catalytic performances. The catalyst with 20 wt.% of Cu and a molar ratio M(II)/M(III) of 2 shows a high activity also at 250 °C and a good stability at middle temperature. Thus, it may be considered an optimum catalyst for the WGS reaction at middle temperature (about 300 °C). Finally, by replacing 50 % (as at. ratio) of Zn by Mg (which is not active in the WGS reaction), better physical properties were observed, although associate with poor catalytic performances. This result confirms the important role of ZnO on the catalytic performances, favoring synergetic interactions with metallic Cu.

Atomistic simulations of cosolvent/water mixtures

In this thesis, atomistic simulations are performed to investigate hydrophobic solvation and hydrophobic interactions in cosolvent/water binary mixtures. Many cosolvent/water binary mixtures exhibit non-ideal behavior caused by aggregation at the molecular scale level although they are stable and homogenous at the macroscopic scale. Force-field based atomistic simulations provide routes to relate atomistic-scale structure and interactions to thermodynamic solution properties. The predicted solution properties are however sensitive to the parameters used to describe the molecular interactions. In this thesis, a force field for tertiary butanol (TBA) and water mixtures is parameterized by making use of the Kirkwood-Buff theory of solution. The new force field is capable of describing the alcohol-alcohol, water-water and alcohol-water clustering in the solution as well as the solution components’ chemical potential derivatives in agreement with experimental data. With the new force field, the preferential solvation and the solvation thermodynamics of a hydrophobic solute in TBA/water mixtures have been studied. First, methane solvation at various TBA/water concentrations is discussed in terms of solvation free energy-, enthalpy- and entropy- changes, which have been compared to experimental data. We observed that the methane solvation free energy varies smoothly with the alcohol/water composition while the solvation enthalpies and entropies vary nonmonotonically. The latter occurs due to structural solvent reorganization contributions which are not present in the free energy change due to exact enthalpy-entropy compensation. It is therefore concluded that the enthalpy and entropy of solvation provide more detailed information on the reorganization of solvent molecules around the inserted solute. Hydrophobic interactions in binary urea/water mixtures are next discussed. This system is particularly relevant in biology (protein folding/unfolding), however, changes in the hydrophobic interaction induced by urea molecules are not well understood. In this thesis, this interaction has been studied by calculating the free energy (potential of mean force), enthalpy and entropy changes as a function of the solute-solute distance in water and in aqueous urea (6.9 M) solution. In chapter 5, the potential of mean force in both solution systems is analyzed in terms of its enthalpic and entropic contributions. In particular, contributions of solvent reorganization in the enthalpy and entropy changes are studied separately to better understand what are the changes in interactions in the system that contribute to the free energy of association of the nonpolar solutes. We observe that in aqueous urea the association between nonpolar solutes remains thermodynamically favorable (i.e., as it is the case in pure water). This observation contrasts a long-standing belief that clusters of nonpolar molecules dissolve completely in the presence of urea molecules. The consequences of our observations for the stability of proteins in concentrated urea solutions are discussed in the chapter 6 of the thesis.

Veterinary drugs in drinking water used for pharmaceutical treatments in breeding farms

Water is susceptible to be used for numerous purposes, including edible, both for humans and animals. In the food animal production, drinking water is frequently used as a way to carry out the most common pharmacological treatments. In these cases, there are many variables which could degrade drugs dissolved in this mean, even when properly arranged pharmaceutical formulations are used. In fact, although a product obtains a Marketing Authorization through appropriate laboratory studies both drug stability and solubility, on the other hand the solubility of the same drug in natural water used as a drinking water is not documented. In the present study has been evaluated the dissolution kinetics (at 0 hours and 24 hours) of products, having oxytetracycline and tylosin as active ingredient, used in drinking water samples in order to see how the different physical and chemical factors that characterize the drinking water may affect therapeutic efficacy. In fact, multiple factors, also of little relevance if individually considered, are able to adversely affect the pharmacological treatment carried out in drinking water.

Physical land degradation and loss of soil fertility: soil structural stability and bio-physical indicators

This study investigates the changes in soil fertility due to the different aggregate breakdown mechanisms and it analyses their relationships in different soil-plant systems, using physical aggregates behavior and organic matter (OM) changes as indicators. Three case studies were investigated: i) an organic agricultural soil, where a combined method, aimed to couple aggregate stability to nutrients loss, were tested; ii) a soil biosequence, where OM chemical characterisation and fractionation of aggregates on the basis of their physical behaviour were coupled and iii) a soils sequence in different phytoclimatic conditions, where isotopic C signature of separated aggregates was analysed. In agricultural soils the proposed combined method allows to identify that the severity of aggregate breakdown affected the quantity of nutrients lost more than nutrients availability, and that P, K and Mg were the most susceptible elements to water abrasion, while C and N were mainly susceptible to wetting. In the studied Chestnut-Douglas fir biosequence, OM chemical properties affected the relative importance of OM direct and indirect mechanisms (i.e., organic and organic-metallic cements, respectively) involved in aggregate stability and nutrient losses: under Douglas fir, high presence of carboxylate groups enhanced OM-metal interactions and stabilised aggregates; whereas under Chestnut, OM directly acted and fresh, more C-rich OM was preserved. OM direct mechanism seemed to be more efficient in C preservation in aggregates. The 13C natural abundance approach showed that, according to phytoclimatic conditions, stable macroaggregates can form both around partially decomposed OM and by organic-mineral interactions. In topsoils, aggregate resistance enhanced 13C-rich OM preservation, but in subsoils C preservation was due to other mechanisms, likely OM-mineral interactions. The proposed combined approach seems to be useful in the understanding of C and nutrients fate relates to water stresses, and in future research it could provide new insights into the complexity of soil biophysical processes.

Simulations of amphiphilic peptides at the air-water interface

Amphiphile Peptide, Pro-Glu-(Phe-Glu)n-Pro, Pro-Asp-(Phe-Asp)n-Pro, und Phe-Glu-(Phe-Glu)n-Phe, können so aus n alternierenden Sequenzen von hydrophoben und hydrophilen Aminosäuren konstruiert werden, dass sie sich in Monolagen an der Luft-Wasser Grenzfläche anordnen. In biologischen Systemen können Strukturen an der organisch-wässrigen Grenzfläche als Matrix für die Kristallisation von Hydroxyapatit dienen, ein Vorgang der für die Behandlung von Osteoporose verwendet werden kann. In der vorliegenden Arbeit wurden Computersimulationenrneingesetzt, um die Strukturen und die zugrunde liegenden Wechselwirkungen welche die Aggregation der Peptide auf mikroskopischer Ebene steuern, zu untersuchen. Atomistische Molekulardynamik-Simulationen von einzelnen Peptidsträngen zeigen, dass sie sich leicht an der Luft-Wasser Grenzfläche anordnen und die Fähigkeit haben, sich in β-Schleifen zu falten, selbst für relativ kurze Peptidlängen (n = 2). Seltene Ereignisse wie diese (i.e. Konformationsänderungen) erfordern den Einsatz fortgeschrittener Sampling-Techniken. Hier wurde “Replica Exchange” Molekulardynamik verwendet um den Einfluss der Peptidsequenzen zu untersuchen. Die Simulationsergebnisse zeigten, dass Peptide mit kürzeren azidischen Seitenketten (Asp vs. Glu) gestrecktere Konformationen aufwiesen als die mit längeren Seitenketten, die in der Lage waren die Prolin-Termini zu erreichen. Darüber hinaus zeigte sich, dass die Prolin-Termini (Pro vs. Phe) notwendig sind, um eine 2D-Ordnung innerhalb derrnAggregate zu erhalten. Das Peptid Pro-Asp-(Phe-Asp)n-Pro, das beide dieser Eigenschaften enthält, zeigt das geordnetste Verhalten, eine geringe Verdrehung der Hauptkette, und ist in der Lage die gebildeten Aggregate durch Wasserstoffbrücken zwischen den sauren Seitenketten zu stabilisieren. Somit ist dieses Peptid am besten zur Aggregation geeignet. Dies wurde auch durch die Beurteilung der Stabilität von experimentnah-aufgesetzten Peptidaggregaten, sowie der Neigung einzelner Peptide zur Selbstorganisation von anfänglich ungeordneten Konfigurationen unterstützt. Da atomistische Simulationen nur auf kleine Systemgrößen und relativ kurze Zeitskalen begrenzt sind, wird ein vergröbertes Modell entwickelt damit die Selbstorganisation auf einem größeren Maßstab studiert werden kann. Da die Selbstorganisation an der Grenzfläche vonrnInteresse ist, wurden existierenden Vergröberungsmethoden erweitert, um nicht-gebundene Potentiale für inhomogene Systeme zu bestimmen. Die entwickelte Methode ist analog zur iterativen Boltzmann Inversion, bildet aber das Update für das Interaktionspotential basierend auf der radialen Verteilungsfunktion in einer Slab-Geometrie und den Breiten des Slabs und der Grenzfläche. Somit kann ein Kompromiss zwischen der lokalen Flüssigketsstruktur und den thermodynamischen Eigenschaften der Grenzfläche erreicht werden. Die neue Methode wurde für einen Wasser- und einen Methanol-Slab im Vakuum demonstriert, sowie für ein einzelnes Benzolmolekül an der Vakuum-Wasser Grenzfläche, eine Anwendung die von besonderer Bedeutung in der Biologie ist, in der oft das thermodynamische/Grenzflächenpolymerisations-Verhalten zusätzlich der strukturellen Eigenschaften des Systems erhalten werden müssen. Daraufrnbasierend wurde ein vergröbertes Modell über einen Fragment-Ansatz parametrisiert und die Affinität des Peptids zur Vakuum-Wasser Grenzfläche getestet. Obwohl die einzelnen Fragmente sowohl die Struktur als auch die Wahrscheinlichkeitsverteilungen an der Grenzfläche reproduzierten, diffundierte das Peptid als Ganzes von der Grenzfläche weg. Jedoch führte eine Reparametrisierung der nicht-gebundenen Wechselwirkungen für eines der Fragmente der Hauptkette in einem Trimer dazu, dass das Peptid an der Grenzfläche blieb. Dies deutet darauf hin, dass die Kettenkonnektivität eine wichtige Rolle im Verhalten des Petpids an der Grenzfläche spielt.

Tracer diffusion at water-oil interfaces studied by fluorescence correlation spectroscopy

The adsorption of particles and surfactants at water-oil interfaces has attracted continuous attention because of its emulsion stabilizing effect and the possibility to form two-dimensional materials. Herein, I studied the interfacial diffusion of single molecules and nanoparticles at water-oil interfaces using fluorescence correlation spectroscopy. rnrnFluorescence correlation spectroscopy (FCS) is a promising technique to study diffusion of fluorescent tracers in diverse conditions. This technique monitors and analyzes the fluorescence fluctuation caused by single fluorescent tracers coming in and out of a diffraction-limited observation volume “one at a time”. Thus, this technique allows a combination of high precision, high spatial resolution and low tracer concentration. rnrnIn chapter 1, I discussed some controversial questions regarding the properties of water-hydrophobic interfaces and also introduced the current progress on the stability and dynamic of single nanoparticles at water-oil interfaces. The materials and setups I used in this thesis were summarized in chapter 2. rnrnIn chapter 3, I presented a new strategy to study the properties of water-oil interfaces. The two-dimensional diffusion of isolated molecular tracers at water/n-alkane interfaces was measured using fluorescence correlation spectroscopy. The diffusion coefficients of larger tracers with a hydrodynamic radius of 4.0 nm agreed well with the values calculated from the macroscopic viscosities of the two bulk phases. However, for small molecule tracers with hydrodynamic radii of only 1.0 and 0.6 nm, notable deviations were observed, indicating the existence of an interfacial region with a reduced effective viscosity. rnrnIn chapter 4, the interfacial diffusion of nanoparticles at water-oil interfaces was investigated using FCS. In stark contrast to the interfacial diffusion of molecular tracers, that of nanoparticles at any conditions is slower than the values calculated in accordance to the surrounding viscosity. The diffusion of nanoparticles at water-oil interfaces depended on the interfacial tension of liquid-liquid interfaces, the surface properties of nanoparticles, the particle sizes and the viscosities of surrounding liquid phases. In addition, the interfacial diffusion of nanoparticles with Janus motif is even slower than that of their symmetric counterparts. Based on the experimental results I obtained, I drew some possibilities to describe the origin of nanoparticle slowdown at water-oil interfaces.

IMEX finite volume methods for the shallow water equations

Die Flachwassergleichungen (SWE) sind ein hyperbolisches System von Bilanzgleichungen, die adäquate Approximationen an groß-skalige Strömungen der Ozeane, Flüsse und der Atmosphäre liefern. Dabei werden Masse und Impuls erhalten. Wir unterscheiden zwei charakteristische Geschwindigkeiten: die Advektionsgeschwindigkeit, d.h. die Geschwindigkeit des Massentransports, und die Geschwindigkeit von Schwerewellen, d.h. die Geschwindigkeit der Oberflächenwellen, die Energie und Impuls tragen. Die Froude-Zahl ist eine Kennzahl und ist durch das Verhältnis der Referenzadvektionsgeschwindigkeit zu der Referenzgeschwindigkeit der Schwerewellen gegeben. Für die oben genannten Anwendungen ist sie typischerweise sehr klein, z.B. 0.01. Zeit-explizite Finite-Volume-Verfahren werden am öftersten zur numerischen Berechnung hyperbolischer Bilanzgleichungen benutzt. Daher muss die CFL-Stabilitätsbedingung eingehalten werden und das Zeitinkrement ist ungefähr proportional zu der Froude-Zahl. Deswegen entsteht bei kleinen Froude-Zahlen, etwa kleiner als 0.2, ein hoher Rechenaufwand. Ferner sind die numerischen Lösungen dissipativ. Es ist allgemein bekannt, dass die Lösungen der SWE gegen die Lösungen der Seegleichungen/ Froude-Zahl Null SWE für Froude-Zahl gegen Null konvergieren, falls adäquate Bedingungen erfüllt sind. In diesem Grenzwertprozess ändern die Gleichungen ihren Typ von hyperbolisch zu hyperbolisch.-elliptisch. Ferner kann bei kleinen Froude-Zahlen die Konvergenzordnung sinken oder das numerische Verfahren zusammenbrechen. Insbesondere wurde bei zeit-expliziten Verfahren falsches asymptotisches Verhalten (bzgl. der Froude-Zahl) beobachtet, das diese Effekte verursachen könnte.Ozeanographische und atmosphärische Strömungen sind typischerweise kleine Störungen eines unterliegenden Equilibriumzustandes. Wir möchten, dass numerische Verfahren für Bilanzgleichungen gewisse Equilibriumzustände exakt erhalten, sonst können künstliche Strömungen vom Verfahren erzeugt werden. Daher ist die Quelltermapproximation essentiell. Numerische Verfahren die Equilibriumzustände erhalten heißen ausbalanciert.rnrnIn der vorliegenden Arbeit spalten wir die SWE in einen steifen, linearen und einen nicht-steifen Teil, um die starke Einschränkung der Zeitschritte durch die CFL-Bedingung zu umgehen. Der steife Teil wird implizit und der nicht-steife explizit approximiert. Dazu verwenden wir IMEX (implicit-explicit) Runge-Kutta und IMEX Mehrschritt-Zeitdiskretisierungen. Die Raumdiskretisierung erfolgt mittels der Finite-Volumen-Methode. Der steife Teil wird mit Hilfe von finiter Differenzen oder au eine acht mehrdimensional Art und Weise approximniert. Zur mehrdimensionalen Approximation verwenden wir approximative Evolutionsoperatoren, die alle unendlich viele Informationsausbreitungsrichtungen berücksichtigen. Die expliziten Terme werden mit gewöhnlichen numerischen Flüssen approximiert. Daher erhalten wir eine Stabilitätsbedingung analog zu einer rein advektiven Strömung, d.h. das Zeitinkrement vergrößert um den Faktor Kehrwert der Froude-Zahl. Die in dieser Arbeit hergeleiteten Verfahren sind asymptotisch erhaltend und ausbalanciert. Die asymptotischer Erhaltung stellt sicher, dass numerische Lösung das &amp;amp;quot;korrekte&amp;amp;quot; asymptotische Verhalten bezüglich kleiner Froude-Zahlen besitzt. Wir präsentieren Verfahren erster und zweiter Ordnung. Numerische Resultate bestätigen die Konvergenzordnung, so wie Stabilität, Ausbalanciertheit und die asymptotische Erhaltung. Insbesondere beobachten wir bei machen Verfahren, dass die Konvergenzordnung fast unabhängig von der Froude-Zahl ist.

How different is water crystallization from polymer crystallization under confinement?

Ziel der vorliegenden Dissertation war es, Einblicke in das Kristallisationsverhalten weicher Materie („soft matter“), wie verschiedener Polymere oder Wasser, unter räumlicher Einschränkung („confinement“) zu erlangen. Dabei sollte untersucht werden, wie, weshalb und wann die Kristallisation in nanoporösen Strukturen eintritt. Desweiteren ist Kristallisation weicher Materie in nanoporösen Strukturen nicht nur aus Aspekten der Grundlagenforschung von großem Interesse, sondern es ergeben sich zahlreiche praktische Anwendungen. Durch die gezielte Steuerung der Kristallinität von Polymeren könnten somit Materialien mit verschiendenen mechanischen und optischen Eigenschaften erhalten werden. Desweiteren wurde auch räumlich eingeschränktes Wasser untersucht. Dieses spielt eine wichtige Rolle in der Molekularbiologie, z.B. für das globuläre Protein, und als Wolkenkondensationskeime in der Atmosphärenchemie und Physik. Auch im interstellaren Raum ist eingeschränktes Wasser in Form von Eispartikeln anzutreffen. Die Kristallisation von eingeschränktem Wasser zu verstehen und zu beeinflussen ist letztlich auch für die Haltbarkeit von Baumaterialien wie etwa Zement von großem Interesse.rnUm dies zu untersuchen wird Wasser in der Regel stark abgekühlt und das Kristallisationsverhalten in Abhängigkeit des Volumens untersucht. Dabei wurde beobachtet, dass Mikro- bzw. Nanometer große Volumina erst ab -38 °C bzw. -70 °C kristallisieren. Wasser unterliegt dabei in der Regel dem Prozess der homogenen Nukleation. In der Regel gefriert Wasser aber bei höheren Temperaturen, da durch Verunreinigungen eine vorzeitige, heterogene Nukleation eintritt.rnDie vorliegende Arbeit untersucht die sachdienlichen Phasendiagramme von kristallisierbaren Polymeren und Wasser unter räumlich eingeschränkten Bedingungen. Selbst ausgerichtetes Aluminiumoxid (AAO) mit Porengrößen im Bereich von 25 bis 400 nm wurden als räumliche Einschränkung sowohl für Polymere als auch für Wasser gewählt. Die AAO Nanoporen sind zylindrisch und parallel ausgerichtet. Außerdem besitzen sie eine gleichmäßige Porenlänge und einen gleichmäßigen Durchmesser. Daher eignen sie sich als Modelsystem um Kristallisationsprozesse unter wohldefinierter räumlicher Einschränkung zu untersuchen.rnEs wurden verschiedene halbkristalline Polymere verwendet, darunter Poly(ethylenoxid), Poly(ɛ-Caprolacton) und Diblockcopolymere aus PEO-b-PCL. Der Einfluss der Porengröße auf die Nukleation wurde aus verschiedenen Gesichtspunkten untersucht: (i) Einfluss auf den Nukleationmechanismus (heterogene gegenüber homogener Nukleation), (ii) Kristallorientierung und Kristallinitätsgrad und (iii) Zusammenhang zwischen Kristallisationstemperatur bei homogener Kristallisation und Glasübergangstemperatur.rnEs konnte gezeigt werden, dass die Kristallisation von Polymeren in Bulk durch heterogene Nukleation induziert wird und das die Kristallisation in kleinen Poren hauptsächlich über homogene Nukleation mit reduzierter und einstellbarer Kristallinität verläuft und eine hohe Kristallorientierung aufweist. Durch die AAOs konnte außerdem die kritische Keimgröße für die Kristallisation der Polymere abgeschätzt werden. Schließlich wurde der Einfluss der Polydispersität, von Oligomeren und anderen Zusatzstoffen auf den Nukleationsmechanismus untersucht.rn4rnDie Nukleation von Eis wurde in den selben AAOs untersucht und ein direkter Zusammenhang zwischen dem Nukleationstyp (heterogen bzw. homogen) und der gebildeten Eisphase konnte beobachtet werden. In größeren Poren verlief die Nukleation heterogen, wohingegen sie in kleineren Poren homogen verlief. Außerdem wurde eine Phasenumwandlung des Eises beobachtet. In den größeren Poren wurde hexagonales Eis nachgewiesen und unter einer Porengröße von 35 nm trat hauptsächlich kubisches Eis auf. Nennenswerter Weise handelte es sich bei dem kubischem Eis nicht um eine metastabile sondern eine stabile Phase. Abschließend wird ein Phasendiagramm für räumlich eingeschränktes Wasser vorgeschlagen. Dieses Phasendiagramm kann für technische Anwendungen von Bedeutung sein, so z.B. für Baumaterial wie Zement. Als weiteres Beispiel könnten AAOs, die die heterogene Nukleation unterdrücken (Porendurchmesser ≤ 35 nm) als Filter für Reinstwasser zum Einsatz kommen.rnNun zur Anfangs gestellten Frage: Wie unterschiedlich sind Wasser und Polymerkristallisation voneinander unter räumlicher Einschränkung? Durch Vergleich der beiden Phasendiagramme kommen wir zu dem Schluss, dass beide nicht fundamental verschieden sind. Dies ist zunächst verwunderlich, da Wasser ein kleines Molekül ist und wesentlich kleiner als die kleinste Porengröße ist. Wasser verfügt allerdings über starke Wasserstoffbrückenbindungen und verhält sich daher wie ein Polymer. Daher auch der Name „Polywasser“.