Nesse trabalho, a equação de estado PC-SAFT é combinada com um método de contribuição de grupos (GC) para estimação dos seus parâmetros. Para tanto, foram utilizados dados experimentais dos componentes puros (pressão de vapor e volume específico do líquido) e em mistura (equilíbrio líquido-vapor - VLE e coeficiente de atividade em diluição infinita - IDAC). Através de uma análise de sensibilidade, verificou-se que o parâmetro volume de associação poderia ser mantido constante, reduzindo o número de parâmetros a serem estimados. O objetivo principal foi estudar misturas que apresentassem associação cruzada ou forte interação entre os compostos. Com os parâmetros estimados, avaliou-se o desempenho do modelo GC-PC-SAFT no cálculo de propriedades de n-alcanos, 1-álcoois, aminas, clorofórmio e acetona. Os desvios médios obtidos no cálculo do equilíbrio líquido-vapor (VLE), entre as diferentes misturas estudadas, mostraram que a estratégia adotada para a estimação do parâmetro energia de associação apresentou bons resultados, com desvios relativamente baixos para a maioria dos casos estudados. Para IDAC, as predições foram muito semelhantes àquelas obtidas por outros modelos. Os resultados de VLE são importantes, pois fornecem informações sobre as concentrações intermediárias de uma mistura, enquanto que o IDAC fornece uma medida eficiente do grau de não-idealidade da mistura. Essas propriedades foram escolhidas com o objetivo de conseguir uma melhor representação das misturas, buscando eliminar a necessidade de parâmetros de interação binária. Os resultados obtidos revelam que o modelo GC-PC-SAFT proposto pode ser utilizado para predizer o equilíbrio líquido-vapor com uma precisão satisfatória para sistemas binários entre os diferentes compostos estudados, sem nenhum parâmetro de interação binária. / In this work, the PC-SAFT EoS is combined with a group contribution method (GC) for parameter estimation. To achieve this, experimental data for pure components (vapor pressure and liquid volume) and mixtures (vapor-liquid equilibria - VLE and infinite dilution activity coefficient -IDAC) has been used. Through sensitivity analysis, it has been found that the association volume parameter could be set constant, thus reducing the amount of parameters that needed to be estimated. The aim of this work was to study mixtures that presented cross association or strong component interaction. With the estimated parameters, GC-PC-SAFT performance in properties calculation of n-alkanes, 1-alcohols, amines, chloroform and ketone has been evaluated. The average deviations obtained in the calculation of vapor-liquid equilibria (VLE), in the different mixtures considered, have shown that the strategy for association energy parameter estimation has presented good results, with relatively low deviations for most of the cases. For IDAC, the predictions presented very similar results to those obtained by other models. VLE results are important because they provide information about mixtures’ intermediary concentrations, whereas IDAC offers an efficient measure of mixtures’ degree of non-ideality. These properties have been chosen with the aim of getting a better representation of the mixtures, seeking to eliminate the need for binary interaction parameters. The obtained results show that GC-PC-SAFT can be used to predict vapor-liquid equilibria for binary systems among the different studied components with satisfactory accuracy with no binary interaction parameter.

Nesse trabalho, a equação de estado PC-SAFT é combinada com um método de contribuição de grupos (GC) para estimação dos seus parâmetros. Para tanto, foram utilizados dados experimentais dos componentes puros (pressão de vapor e volume específico do líquido) e em mistura (equilíbrio líquido-vapor - VLE e coeficiente de atividade em diluição infinita - IDAC). Através de uma análise de sensibilidade, verificou-se que o parâmetro volume de associação poderia ser mantido constante, reduzindo o número de parâmetros a serem estimados. O objetivo principal foi estudar misturas que apresentassem associação cruzada ou forte interação entre os compostos. Com os parâmetros estimados, avaliou-se o desempenho do modelo GC-PC-SAFT no cálculo de propriedades de n-alcanos, 1-álcoois, aminas, clorofórmio e acetona. Os desvios médios obtidos no cálculo do equilíbrio líquido-vapor (VLE), entre as diferentes misturas estudadas, mostraram que a estratégia adotada para a estimação do parâmetro energia de associação apresentou bons resultados, com desvios relativamente baixos para a maioria dos casos estudados. Para IDAC, as predições foram muito semelhantes àquelas obtidas por outros modelos. Os resultados de VLE são importantes, pois fornecem informações sobre as concentrações intermediárias de uma mistura, enquanto que o IDAC fornece uma medida eficiente do grau de não-idealidade da mistura. Essas propriedades foram escolhidas com o objetivo de conseguir uma melhor representação das misturas, buscando eliminar a necessidade de parâmetros de interação binária. Os resultados obtidos revelam que o modelo GC-PC-SAFT proposto pode ser utilizado para predizer o equilíbrio líquido-vapor com uma precisão satisfatória para sistemas binários entre os diferentes compostos estudados, sem nenhum parâmetro de interação binária. / In this work, the PC-SAFT EoS is combined with a group contribution method (GC) for parameter estimation. To achieve this, experimental data for pure components (vapor pressure and liquid volume) and mixtures (vapor-liquid equilibria - VLE and infinite dilution activity coefficient -IDAC) has been used. Through sensitivity analysis, it has been found that the association volume parameter could be set constant, thus reducing the amount of parameters that needed to be estimated. The aim of this work was to study mixtures that presented cross association or strong component interaction. With the estimated parameters, GC-PC-SAFT performance in properties calculation of n-alkanes, 1-alcohols, amines, chloroform and ketone has been evaluated. The average deviations obtained in the calculation of vapor-liquid equilibria (VLE), in the different mixtures considered, have shown that the strategy for association energy parameter estimation has presented good results, with relatively low deviations for most of the cases. For IDAC, the predictions presented very similar results to those obtained by other models. VLE results are important because they provide information about mixtures’ intermediary concentrations, whereas IDAC offers an efficient measure of mixtures’ degree of non-ideality. These properties have been chosen with the aim of getting a better representation of the mixtures, seeking to eliminate the need for binary interaction parameters. The obtained results show that GC-PC-SAFT can be used to predict vapor-liquid equilibria for binary systems among the different studied components with satisfactory accuracy with no binary interaction parameter.

Orientador: Antonio José de Almeida Meirelles / Tese (doutorado) - Universidade Estadual de Campinas, Faculdade de Engenharia de Alimentos / Made available in DSpace on 2018-08-05T02:06:27Z (GMT). No. of bitstreams: 1 Ceriani_Roberta_D.pdf: 4668987 bytes, checksum: 15445f170d90738497cea3add4fb4d66 (MD5) Previous issue date: 2005 / Doutorado / Doutor em Engenharia de Alimentos

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To capture the underlying chemistry and physics of a system on electronic structure platform, it is necessary to accurately describe the intermolecular interactions such as repulsion, polarization, hydrogen bonding, and van der Waals interactions. Among these interactions, van der Waals (dispersion) interactions are weak in nature as compare to covalent bonds and hydrogen bonding, but it is physically and chemically very important in accurately predicting condensed phase properties such as Vapor liquid equilibria. This presents a significant challenge in modeling VLE using a first principles approach. However, recent developments in dispersion corrected (DFT-D3) and nonlocal density functionals can model dispersion interactions with reasonable accuracy. Here, we will present some of results that quantify efficacy of recent density functionals in predicting phase equilibria of molecular systems via first principle Monte Carlo (FPMC) simulations. Our aim is to assess the performance of several density functional by determining VLE, critical properties, dimer potential energy curves, vibrational spectra, and structural properties. The functional used in our study includes PBE-D3, BLYP-D3, rVV10, PBE0- D3, and M062X-D3. In addition, we have used the second order Møller-Plesset perturbation theory (MP2) method for computing density of argon at single temperature. The organic compounds considered for this study involves argon, CO2, SO2, and various hydroflurocarbons (R14, R134a, CF3H, CF2H2, CFH3) molecules. Additionally, the development of new materials, ionic liquids, and modification of industrial processes are an ongoing effort by researchers to efficiently capture acidic gases. Our ability to model these sorption processes using a first principles approach can have significant impact in speeding up the discovery process. In our work, we have predicted CO2 solubility in triethyl(butyl)phosphonium ionic liquid via FPMC simulations. Our results reveal the infrared spectra, structural and transport properties for pure ionic liquid and its mixture with CO2 through ab initio molecular dynamics simulations.

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<p> Understanding the behavior of liquid hydrocarbon propellants under high pressure and temperature conditions is a crucial step towards improving the performance of modern-day combustion engines (liquid rocket engines, diesel engines, gas turbines and so on) and designing the next generation ones. Under such harsh thermodynamic conditions (high P&T) propellent droplets may experience anywhere from sub-to-trans-to-supercritical regime. The focus of this research is to explore the dynamics of the vapor-liquid two phase system formed by a liquid hydrocarbon fuel (n-heptane or n-dodecane) and ambient (nitrogen) over a wide range of P&T leading up to the mixture critical point and beyond. Molecular dynamics (MD) has been used as the primary tool in this research along with other tools like: phase stability calculations based on Gibb’s work, Peng Robinson equation of state, density gradient theory and neural networks.</p>

Wie vermischen sich Kraftstoff und Luft, wenn ein flüssiger Kraftstoff in einer Umgebung eingespritzt und zerstäubt wird, deren Parameter Druck und Temperatur den kritischen Druck und die kritische Temperatur des Kraftstoffs überschreiten? In dieser Arbeit wurden Experimente basierend auf Raman-spektoskopischen Methoden zur Gemischbildung unter eben solchen Bedingungen durchgeführt. Ziel der Arbeit war der experimentelle Nachweis der Möglichkeit einphasiger Gemischbildung, d.h. des Übergangs von eingespritztem Kraftstoff in das überkritische Regime, und von da Mischung mit der umgebenden initial überkritischen Stickstoffphase ohne Auftreten von Phasengrenzen. Dazu war es nötig, das Zweiphasengebiet der eingesetzten Stoffe exakt zu charakterisieren (die Gas-Flüssig-Gleichgewichte zu messen), und die Temperatur der Flüssigphase zuverlässig während der Gemischbildung zu messen. Mittels eines Mikrokapillar-Aufbaus wurden Daten zu Gas-Flüssig-Gleichgewichten (engl. Vapor-liquid-equilibria, VLE) bei hohen Drücken und Temperaturen erhoben. Dazu wurden unter kontrollierten Bedingungen phasenspezifische Raman-Spektren der Gas- und der Flüssigphase gemessen, aus denen sich in-situ die Gemischzusammensetzung der Phasen ermitteln ließ. Desweiteren wurden Methoden zur Bestimmung der Temperatur der Flüssigphase erarbeitet, sowie eine Methode zur Unterscheidung von Gas- und Flüssiganteil anhand der Raman-Spektren. Die letzten Methoden basieren auf einer Auswertung des Signals der Hydroxyl-Gruppe von Ethanol, welches in der vorliegenden Arbeit als Kraftstoff-Surrogat verwendet wurde. Danach wurden diese Methoden in einer Hochdruck-Hochtemperatur-Einspritzkammer eingesetzt. Hier wurde Kraftstoff unter realistischen Motorbedingungen eingespritzt, und Raman-Spektroskopie zeitlich und örtlich aufgelöst im entstehenden Spray angewandt. Dies erlaubte die Untersuchung der Gemischbildung ohne Beeinträchtigung des Systems, wie etwa durch Zugabe von Marker-Stoffen oder den Einsatz invasiver Messtechniken. Die gewonnenen VLE-Daten stellen eine erhebliche Verbesserung der Datengrundlage in diesem Druck- und Temperaturbereich dar, da Literaturdaten hier rar sind. Der realisierte Mikrokapillar-Aufbau benötigt nur minimale Volumina an Flüssigkeit und Gas, und lässt vielfältige weitere Einsatzmöglichkeiten wie etwa die Messung von VLE-Daten anderer Stoffe oder auch ternärer Gemische, oder die Untersuchung chemischer Reaktionen zu. Gleichgewichte stellen sich aufgrund des hohen Oberflächen-Volumen-Verhältnisses und der insgesamt kurzen Weglängen schnell ein. Die Zuverlässigkeit der gewonnenen Daten konnte durch Vergleich mit den wenigen vorhandenen Literaturdaten gezeigt werden. Bei Vorliegen von Wasserstoffbrückenbindungen konnte die Zuverlässigkeit und Überlegenheit der Raman-Thermometrie basierend auf der „integrated absolute difference spectroscopy“ gezeigt werden, außerdem erlaubt das charakteristische Raman-Signal der Hydroxyl-Gruppe in Wasserstoff-brückenbindung eine Unterscheidung von Gas- und Flüssigphase in überlagerten Spektren. Zum Nachweis der Durchführbarkeit einer solchen Unterscheidung wurde eine Methode entwickelt, um mittels unterschiedlicher Trigger-Signale phasenspezifische Messungen ohne Überlagerung durch eine alternierende Phase durchzuführen. Die gemessenen, örtlich und zeitlich aufgelösten Daten zur Gemischbildung im Spray erlauben die thermodynamische Charakterisierung der Gemischbildung anhand der ermittelten Parameter „globale Gemischzusammensetzung“, „Flüssigphasenanteil“ und „Flüssigphasentemperatur“. Die Ergebnisse zeigten für hohe Umgebungsdrücke und Temperaturen, dass die Flüssigphase Temperaturen jenseits ihrer kritischen Temperatur erreichen kann. Dies lieferte den Nachweis des Auftretens einphasiger Gemischbildung.:I Abbreviations and symbols II Figures III Tables 1. Introduction 2. State of the art 2.1.1. Objective of this thesis 3. Application-oriented fundamentals 3.1. Thermodynamic states 3.1.1. Single-component systems 3.1.2. Multi-compound systems 3.2. Micro-fluidic systems 3.3. Spray break-up 3.4. Raman spectroscopy 3.4.1. Fundamentals 3.4.2. Quantifiability of Raman signals 3.4.3. Liquid fraction determination 3.4.4. Raman thermometry 4. Vapor-Liquid-Equilibra – Experimental setup 4.1. Overview and auxiliary equipment 4.2. Heating system 4.3. Raman probe 4.4. Light guard technique 4.5. Materials and Experiments 5. Vapor-Liquid-Equilibria – Results and discussion 5.1. Data evaluation 5.2. Calibration 5.3. Liquid film correction 5.4. Results ethanol/nitrogen 5.5. Results decane/nitrogen 5.6. Raman thermometry 6. Sprays – Experimental Setup 6.1. Overview and auxiliary equipment 6.2. Calibration setup 6.3. Spray excitation and detection 6.4. Investigated conditions 7. Sprays – Results and discussion 7.1. Data evaluation 7.1.1. Fuel fraction determination 7.1.2. Liquid fraction determination 7.1.3. Liquid temperature determination 7.2. Calibration results 7.3. Spray results 8. Conclusion 9. References / How do fuel and air mix, when liquid fuel is injected and atomized in an environment with parameters pressure and temperature exceeding the respective critical ones of the fuel? In this work, experiments on mixture formation at such conditions based on methods of Raman spectroscopy were performed. Objective of the work was the experimental proof of single-phase mixing, i.e. the transition of injected fuel into the supercritical regime, and therein mixture with the surrounding initially supercritical nitrogen atmosphere without the formation of phase boundaries. To this end, the characterization of the two-phase regime was necessary (i.e. the measurement of the vapor-liquid-equlibria), and the reliable determination of the temperature of the liquid phase during mixture formation. Data on vapor-liquid-equilibria (VLE) were measured in a micro-capillary setup at high temperatures and pressures. To this end, phase-specific Raman spectra of the liquid and the vapor phase were measured at well-controlled conditions, from which the mixture composition of the respective phases was derived in-situ. Furthermore, Methods for the determination of the liquid phase temperature were developed, as well as an approach for the differentiation of the liquid phase signal from the vapor phase signal. The two latter methods exploit the specific signal of the hydroxyl-group of ethanol, which served as a fuel surrogate in this work. In the next step, these methods were applied in a high pressure, high temperature injection chamber. Here, fuel was injected at realistic engine-like conditions, and Raman spectroscopy was applied temporally and spatially resolved across the created spray cone. This approach allowed the Investigation of the mixture formation without affecting the system, compared to e.g. the addition of markers or the use of invasive measurement techniques. The gathered data are a significant addition to the scarce data base available in this pressure and temperature range. The realized micro-capillary setup needs only minimal volume of fluids, and allows various other operational Scenarios like the measurement of VLE data of other components, binary or ternary, or the Investigation of chemical reactions. Equilibria form very fast due to the high surface-to-volume ratio and the short path lenghts. The reliability of the gathered data were shown by comparison with literature. With the presence of hydrogen bonds, the reliability and superiority of the Raman thermometry based on the 'integrated absolute difference spectroscopy' was shown. Furthermore, the characteristic Raman signal of the hydroxyl-group allows for the differentiation of the vapor- and liquid-phase contributions in superimposed spectra from vapor- and liquid-phase. For the proof of feasibility of such a differentiation, a sophisticated method for the phase-specific measurements was developed by exploiting distinctive trigger Signals from the phases, allowing measurements in one phase without cross-talk from the alternating phase. The temporally and spatially resolved data measured during mixture formation in the spray lead to the thermodynamic characterization of the mixture formation with respect to the Parameters 'global mixture composition', 'liquid phase fraction', and 'liquid phase temperature'. The results for high pressures and temperatures inside the chamber show that the liquid or liquid-like phase can reach temperatures exceeding the critical temperature of the fuel. This provides the proof a the existance of single-phase mixing.:I Abbreviations and symbols II Figures III Tables 1. Introduction 2. State of the art 2.1.1. Objective of this thesis 3. Application-oriented fundamentals 3.1. Thermodynamic states 3.1.1. Single-component systems 3.1.2. Multi-compound systems 3.2. Micro-fluidic systems 3.3. Spray break-up 3.4. Raman spectroscopy 3.4.1. Fundamentals 3.4.2. Quantifiability of Raman signals 3.4.3. Liquid fraction determination 3.4.4. Raman thermometry 4. Vapor-Liquid-Equilibra – Experimental setup 4.1. Overview and auxiliary equipment 4.2. Heating system 4.3. Raman probe 4.4. Light guard technique 4.5. Materials and Experiments 5. Vapor-Liquid-Equilibria – Results and discussion 5.1. Data evaluation 5.2. Calibration 5.3. Liquid film correction 5.4. Results ethanol/nitrogen 5.5. Results decane/nitrogen 5.6. Raman thermometry 6. Sprays – Experimental Setup 6.1. Overview and auxiliary equipment 6.2. Calibration setup 6.3. Spray excitation and detection 6.4. Investigated conditions 7. Sprays – Results and discussion 7.1. Data evaluation 7.1.1. Fuel fraction determination 7.1.2. Liquid fraction determination 7.1.3. Liquid temperature determination 7.2. Calibration results 7.3. Spray results 8. Conclusion 9. References

With this thesis, I present an experimental study focusing on the provision of thermodynamic data of fluids at elevated pressure and temperature conditions. Hereby a microcapillary setup that is equipped with an in situ Raman Spectroscopy unit as well as with a high-speed camera, was further improved within the scientific employment of the author. The setup consists in principle of a fused-silica microcapillary embedded in a heating block, which is furthermore connected to high pressure syringe pumps. Pure compounds and mixtures were studied with the microfluidic setup and different thermodynamic properties were determined. For instance, vapor pressures of Poly(oxymethylene) Dimethyl Ethers (OME3 and OME4), a potential class of renewable diesel fuels, were the first time measured for temperatures exceeding the atmospheric boiling temperature. Hereby the regarded compound is pressurized at constant temperature, from what the vapor pressure is determined optically by detecting bubble or film formation, indicating the transition from vapor to liquid state. The main results of this thesis were however the vapor-liquid equilibria (VLE) of fuel/air-systems that were determined by in situ Raman Spectroscopy, whereby the Stokes-scattered Raman signal can be successfully separated phase-dependently by light barrier technology. A further task was the determination of saturated mixture densities of the validation system ethanol/CO2. With this study, I intend to contribute to the scarce literature data for the studied systems and properties. Therewith I want to help to enhance the understanding of microprocesses such as the evaporation and mixing formation in diesel combustion engines.