We present, extend, and apply a method to extract the contribution of a subregion of a data set to the global flow. To isolate this contribution, we decompose the flow in the subregion into a potential flow that is induced by the original flow on the boundary and a localized flow. The localized flow is obtained by subtracting the potential flow from the original flow. Since the potential flow is free of both divergence and rotation, the localized flow retains the original features and captures the region-specific flow that contains the local contribution of the considered subdomain to the global flow. In the remainder of the paper, we describe an implementation on unstructured grids in both two and three dimensions for steady and unsteady flow fields. We discuss the application of some widely used feature extraction methods on the localized flow and describe applications like reverse-flow detection using the potential flow. Finally, we show that our algorithm is robust and scalable by applying it to various flow data sets and giving performance figures.

Surface water is essential for the eco-environment and provides various purposes and functions in anthropogenic activities such as domestic water supply, agriculture irrigation and drainage, and energy creation. Due to its important role in human health and ecosystem, it is essential to establish effective models to study the water quantity and quality through systematic research. In this dissertation, machine learning (ML) has been investigated as a modelling approach to simulate water quality and quantity of rivers. It includes the analysis of river pollution sources, downstream river flow prediction, long-term river heavy metal prediction and the influence of environmental factors on river heavy metals. This research was conducted to combine ML methods to enhance the accuracy and applicability of models in water environment studies and further assist relevant sectors to strengthen the management of surface water quantity and quality. (1) The primary source contributors of trace metals in surface water were identified based on the trained optimal model. This study trained and evaluated the typical shallow and deep learning approaches to identifying and classifying source contributors based on a database and analyzed the source apportionment of trace metals in the main stream and tributaries of river basin by the proposed approaches. (2) The interpretable ML models were developed to overcome the under-appreciated issue of the model for predicting heavy metals that are both predictive and transparent. This study employed and compared five tree-based machine learning models and then performed global and local feature importance analyses with the optimum models to predict the most important environmental factors for heavy metals management. (3) The performance of conventional or hybrid ML models with time series decomposition technology was developed and compared for long term prediction of heavy metals. This study examined the effect of inputs time-series data of selection and division on the performance of conventional and hybrid models and evaluated the long-term fore-casts by standard metrics to select the optimum approaches for typical metal long term prediction. (4) The downstream river flow was predicted based on the combined ML models. This study established the hybrid CNN-LSTM model to process the 2D rainfall radar information by convolutional neural network (CNN) and the time series information by long short-term memory (LSTM), and explored the capacity of the hybrid model for river flow forecasting.:Table of Content List of Abbreviations V List of Publications on the Ph.D. Topic VII List of Co-authored Publications during the Ph.D. VII 1 General Introduction 1 1.1 Background 1 1.2 Aim and Objective 3 1.3 Innovation and Contribution 3 1.4 Outline 4 1.5 References 5 2 Traceability Study of Metals 9 2.1 Introduction 10 2.2 Materials and Methods 11 2.2.1 Study Area 11 2.2.2 Ecological Risk Assessment 12 2.2.3 Model Development 13 2.2.4 The Classification Supervised ML Models 14 2.2.5 Model Evaluation 15 2.3 Results 16 2.3.1 Metal Characteristics of the Registered Dataset and Applicable Area 16 2.3.2 Spatial Assessment of Ecological Risk 20 2.3.3 Temporal Trend in Ecologic Risk 21 2.3.4 Performance Analysis of Classification Models 22 2.3.5 Resource Analysis Based on the Trained Model 23 2.4 Discussion 24 2.4.1 RF Outperformed the Other Models 24 2.4.2 Potential Sources of Metals in the Given Area 25 2.5 Conclusion 27 2.6 References 27 3 Elucidation of Environmental Factors’ Influence on Metals 33 3.1 Introduction 34 3.2 Materials and Methods 36 3.2.1 Study Sites and Data 36 3.2.2 Indexing Approach 39 3.2.3 Regression Models 40 3.2.4 Model Performance Metrics and Hyperparameter Tuning 41 3.2.5 SHapley Additive exPlanations (SHAP) 42 3.2.6 The Partial Dependence Plot (PDP) 42 3.3 Results 43 3.3.1 HPI and Environmental Variables 43 3.3.2 Assessment of Approaches 44 3.3.3 Global Feature Importance 46 3.3.4 Local Feature Importance 47 3.3.5 Sensitive Factor Analysis 49 3.4 Discussion 49 3.4.1 SHAP Outperformed the Other Importance Method 49 3.4.2 Robust Association of Top Variables with HPI 50 3.5 Conclusion 51 3.6 References 51 4 Long-Term Prediction of Metals Concentration 57 4.1 Introduction 58 4.2 Materials and Methods 60 4.2.1 Study Area and Water Quality Data 60 4.2.2 Input Identification 61 4.2.3 Wavelet Transform 63 4.2.4 Back-Propagation Neural Network (BPNN) Model 63 4.2.5 Nonlinear Autoregressive Exogenous (NARX) Model 65 4.2.6 Wavelet and BPNN (WNN) Hybrid Model 65 4.2.7 Wavelet and NARX (WNARX) Hybrid Model 66 4.2.8 Model Performance Evaluation 66 4.3 Results 67 4.3.1 Model Establishment 67 4.3.2 Performance Analysis of the Optimal Scenarios 70 4.4 Discussion 74 4.5 Conclusion 75 4.6 References 76 5 Prediction of Downstream River Flow 79 5.1 Introduction 80 5.2 Materials and Methods 82 5.2.1 Study Area and Data Acquisition 82 5.2.2 Convolutional Neural Network (CNN) 83 5.2.3 Long Short-Term Memory (LSTM) 83 5.2.4 River Flow Simulation 84 5.2.5 Performance Evaluation 84 5.3 Results 85 5.3.1 Flow Time Series 85 5.3.2 Input Selection 86 5.3.3 Flow Simulation 87 5.4 Discussion 90 5.5 Conclusion 91 5.6 References 92 6 Conclusions and Future Research 97 6.1 Traceability Study of Metals 97 6.2 Elucidation of Environmental Factors’ Influence on Metals 97 6.3 Long-Term Prediction of Metals Concentration 98 6.4 Prediction of River Flow 98 6.5 Discussion and Future Research 98 6.5.1 Discussion 99 6.5.2 Future Research 100 7 Appendices 103 7.1 Supporting Information for Traceability Study of Metals 103 7.1.1 Naive Bayes 103 7.1.2 Support Vector Machine 103 7.1.3 Neural Network 105 7.1.4 Random Forest 106 7.1.5 Long Short-Term Memory 106 7.1.6 Convolutional Neural Network 107 7.2 Supporting Information for Elucidation of Environmental Factors’ Influence on Metals 108 7.3 Supporting Information for Long-Term Prediction of Metals Concentration 109 7.3.1 Figures 109 7.4 References 120

In order to investigate the two-phase flow behaviour in a complex reactor-typical geometry and to supply suitable data for CFD code validation, a model of the hot leg of a pressurised water reactor was built at FZD. The hot leg model is operated in the pressure chamber of the TOPFLOW test facility, which is used to perform high-pressure experiments under pressure equilibrium with the inside atmosphere of the chamber. This technique makes it possible to visualise the two-phase flow through large windows, also at reactor-typical pressure levels. In order to optimise the optical observation possibilities, the test section was designed with a rectangular cross-section. Experiments were performed with air and water at 1.5 and 3.0 bar at room temperature as well as with steam and water at 15, 30 and 50 bar and the corresponding saturation temperature (i.e. up to 264°C). The total of 194 runs are divided into 4 types of experiments covering stationary co-current flow, counter-current flow, flow without water circulation and transient counter-current flow limitation (CCFL) experiments. This report provides a detailed documentation of the experiments including information on the experimental setup, experimental procedure, test matrix and on the calibration of the measuring devices. The available data is described and data sheets were arranged for each experiment in order to give an overview of the most important parameters. For the cocurrent flow experiments, water level histograms were arranged and used to characterise the flow in the hot leg. In fact, the form of the probability distribution was found to be sensitive to the boundary conditions and, therefore, is useful for the CFD comparison. Furthermore, the flooding characteristics of the hot leg model plotted in terms of the classical Wallis parameter or Kutateladze number were found to fail to properly correlate the data of the air/water and steam/water series. Therefore, a modified Wallis parameter is proposed, which takes the effect of viscosity into account.

An explicit Runge-Kutta discontinuous Galerkin (RKDG) method is used to device numerical schemes for both the compressible Euler equations of gas dynamics and the ideal magneto- hydrodynamical (MHD) model. These systems of conservation laws are known to have discontinuous solutions. Discontinuities are the source of spurious oscillations in the solution profile of the numerical approximation, when a high order accurate numerical method is used. Different techniques are reviewed in order to control spurious oscillations. A shock detection technique is shown to be useful in order to determine the regions where the spurious oscillations appear such that a Limiter can be used to eliminate these numeric artifacts. To guarantee the positivity of specific variables like the density and the pressure, a positivity preserving limiter is used. Furthermore, a numerical flux, proven to preserve the entropy stability of the semi-discrete DG scheme for the MHD system is used. Finally, the numerical schemes are implemented using the deal.II C++ libraries in the dflo code. The solution of common test cases show the capability of the method. / Ein explizite Runge-Kutta discontinous Galerkin (RKDG) Verfahren wird angewendet, um numerische Diskretisierungen, sowohl für die kompressiblen Eulergleichungen der Gasdynamik, als auch für die idealen Magnetohydrodynamik (MHD) Gleichungen zu entwickeln. Es ist bekannt, dass diese System von Erhaltungsgleichungen unstetige Lösungen besitzen. Unstetigkeiten sind die Quelle von störenden Oszillationen im Lösungsprofil der numerischen Näherung, wenn ein numerisches Verfahren von hoher Ordnung verwendet wird. Verschiedene Techniken werden miteinander verglichen um störende Oszillationen zu kontrollieren, die bei der Approximation von Unstetigkeiten in der Lösung auftreten. Ein Verfahren zur Lokalisierung von Schockwellen wird vorgestellt und es wird gezeigt, dass dieses Verfahren nützlich ist um Regionen, in denen störende Oszillationen auftreten, zu bestimmen, so dass ein Limiter verwendet werden kann um diese numerischen Artefakte zu eliminieren. Um die Positivität spezieller Variablen, wie die Dichte und den Druck, zu bewahren, wird ein spezieller „positivitätserhaltender“ Limiter verwendet. Des Weiteren wird ein numerischer Fluss, für den bewiesenermaßen das semi-diskrete DG Verfahren für das MHD System Entropie-Stabil ist, verwendet. Abschließend werden die numerischen Verfahren unter Verwendung der deal.II C++ Bibliotheken im dflo code implementiert. Simulationen bekannter Testbeispiele zeigen das Potential dieses numerischen Verfahrens.

The contact of hot melt with liquid water - called Molten Fuel Coolant Interaction (MFCI) - can result in vivid explosions. Such explosions can occur in different scenarios: in steel or powerplants but also in volcanoes. Because of the possible dramatic consequences of such explosions an investigation of the explosion process is necessary. Fundamental basics of this process are already discovered and explained, such as the frame conditions for these explosions. It has been shown that energy transfer during an MFCI-process can be very high because of the transfer of thermal energy caused by positive feedback mechanisms. Up to now the influence of several varying parameters on the energy transfer and the explosions is not yet investigated sufficiently. An important parameter is the melt temperature, because the amount of possibly transferable energy depends on it. The investigation of this influence is the main aim of this work. Therefor metallic tin melt was used, because of its nearly constant thermal material properties in a wide temperature range. With tin melt research in the temperature range from 400 °C up to 1000 °C are possible. One important result is the lower temperature limit for vapor film stability in the experiments. For low melt temperatures up to about 600 °C the vapor film is so unstable that it already can collapse before the mechanical trigger. As expected the transferred thermal energy all in all increases with higher temperatures. Although this effect sometimes is superposed by other influences such as the premix of melt and water, the result is confirmed after a consequent filtering of the remaining influences. This trend is not only recognizable in the amount of transferred energy, but also in the fragmentation of melt or the vaporizing water. But also the other influences on MFCI-explosions showed interesting results in the frame of this work. To perform the experiments the installation and preparation of the experimental Setup in the laboratory were necessary. In order to compare the results to volcanism and to get a better investigation of the brittle fragmentation of melt additional runs with magmatic melt were made. In the results the thermal power during energy transfer could be estimated. Furthermore the model of “cooling fragments “ could be usefully applied. / Das Zusammentreffen von heißer Schmelze mit flüssigem Wasser (Schmelze-Wasser-Interaktion) - auf Englisch Molten-Fuel-Coolant-Interaction (MFCI) - kann zu heftigen Explosionen führen. Diese Explosionen sind in verschiedenen Szenarien möglich: in Stahl- und Kraftwerken, aber auch bei Vulkanen. Wegen der möglichen dramatischen Folgen solcher Explosionen ist eine Erforschung dieser Explosionsvorgänge notwendig. Wesentliche Grundlagen, unter welchen Voraussetzungen Schmelze-Wasser-Interaktionen zu Explosionen führen können, und der Ablauf dieser Vorgänge wurden weitgehend erforscht. Wie diese Forschungen gezeigt haben, kann die übertragene Energie bei diesen Vorgängen wegen positiver Rückkopplungsprozesse sehr hoch sein. Bislang wurden aber noch nicht in ausreichendem Maß die Einflussparameter auf die Energieübertragung und damit auf die Explosionsheftigkeit geprüft. Ein wichtiger Parameter ist die Schmelzetemperatur, da von ihr abhängt, wie viel thermische Energie freigesetzt werden kann. Die Untersuchung des Einflusses dieses Parameters ist das Hauptziel der vorliegenden Arbeit. Hierfür wurde bei den meisten Versuchen metallische Zinnschmelze verwendet, da die Materialwerte von Zinn über einen weiten Temperaturbereich annähernd konstant sind, von denen die Wärmeübertragung abhängt. Mit dieser Zinnschmelze war die Untersuchung der Schmelzetemperatur im Bereich von 400 °C bis 1000 °C möglich. Ein wesentliches Ergebnis zeigt die Abhängigkeit der Dampffilmstabilität von der Schmelzetemepratur. Bei niedrigen Schmelzetemperaturen bis etwa 600 °C ist der Dampffilm so instabil, dass er in den Experimenten bereits vor einer mechanischen Erschütterung zusammenbrach, die zu seiner Zerstörung eingesetzt wurde. Wie erwartet ist zu erkennen, dass mit höherer Schmelzetemperatur grundsätzlich mehr Energie umgesetzt werden kann. Obwohl dieser Effekt von weiteren Einflüssen auf die Explosionsstärke unter bestimmten Umständen überdeckt werden kann, wird dieses Ergebnis nach einer konsequenten Filterung der übrigen Einflüsse bestätigt. Diese Tendenz ist nicht nur an den berechneten übertragenen Gesamtenergiemengen erkennbar, sondern auch an den einzelnen Effekten wie z. B. der Fragmentation oder der Wasserverdampfung. Aber auch die weiteren Einflüsse auf die Energieübertragung wie z. B. die Vorvermischung von Schmelze und Wasser zeigten im Rahmen dieser Arbeit und der durchgeführten Experimente interessante Ergebnisse. Um diese Versuche durchführen zu können, waren die Einrichtung und Vorbereitung einer Versuchsanlage erforderlich. Zum Vergleich mit dem Vulkanismus und zur besseren Untersuchung der Feinfragmentation während ärmeübertagung wurden Versuche mit magmatischer Schmelze durchgeführt. In den Ergebnissen konnten thermische Leistungen während der Schmelze-Wasser-Interaktion bestimmt werden. Außerdem konnte das aufgestellte Modell der “kühlenden Fragmente “ sinnvoll angewendet werden.

In order to investigate the two-phase flow behaviour in a complex reactor-typical geometry and to supply suitable data for CFD code validation, a model of the hot leg of a pressurised water reactor was built at FZD. The hot leg model is operated in the pressure chamber of the TOPFLOW test facility, which is used to perform high-pressure experiments under pressure equilibrium with the inside atmosphere of the chamber. This technique makes it possible to visualise the two-phase flow through large windows, also at reactor-typical pressure levels. In order to optimise the optical observation possibilities, the test section was designed with a rectangular cross-section. Experiments were performed with air and water at 1.5 and 3.0 bar at room temperature as well as with steam and water at 15, 30 and 50 bar and the corresponding saturation temperature (i.e. up to 264°C). The total of 194 runs are divided into 4 types of experiments covering stationary co-current flow, counter-current flow, flow without water circulation and transient counter-current flow limitation (CCFL) experiments. This report provides a detailed documentation of the experiments including information on the experimental setup, experimental procedure, test matrix and on the calibration of the measuring devices. The available data is described and data sheets were arranged for each experiment in order to give an overview of the most important parameters. For the cocurrent flow experiments, water level histograms were arranged and used to characterise the flow in the hot leg. In fact, the form of the probability distribution was found to be sensitive to the boundary conditions and, therefore, is useful for the CFD comparison. Furthermore, the flooding characteristics of the hot leg model plotted in terms of the classical Wallis parameter or Kutateladze number were found to fail to properly correlate the data of the air/water and steam/water series. Therefore, a modified Wallis parameter is proposed, which takes the effect of viscosity into account.

Stratified two-phase flows were investigated at different test facilities with horizontal test sections in order to provide an experimental database for the development and validation of computational fluid dynamics (CFD) codes. These channels were designed with rectangular cross-sections to enable optimal observation conditions for the application of optical measurement techniques. Consequently, the local flow structure was visualised with a high-speed video camera, delivering data with high-resolution in space and time as needed for CFD code validation. Generic investigations were performed at atmospheric pressure and room temperature in two air/water channels made of acrylic glass. Divers preliminary experiments were conducted with various measuring systems in a test section mounted between two separators. The second test facility, the Horizontal Air/Water Channel (HAWAC), is dedicated to co-current flow investigations. The hydraulic jump as the quasi-stationary discontinuous transition between super- and subcritical flow was studied in this closed channel. Moreover, the instable wave growth leading to slug flow was investigated from the test section inlet. For quantitative analysis of the optical measurements, an algorithm was developed to recognise the stratified interface in the camera frames, allowing statistical treatments for comparison with CFD calculation results. The third test apparatus was installed in the pressure chamber of the TOPFLOW test facility in order to be operated at reactor typical conditions under pressure equilibrium with the vessel atmosphere. The test section representing a flat model of the hot leg of the German Konvoi pressurised water reactor (PWR) scaled at 1:3 is equipped with large glass side walls in the region of the elbow and of the steam generator inlet chamber to allow visual observations. The experiments were conducted with air and water at room temperature and maximum pressures of 3 bar as well as with steam and water at boundary conditions of up to 50 bar and 264°C. Four types of experiments were performed, including generic test cases as well as transient validation cases of typical nuclear reactor safety issues. As an example, the co-current flow experiments simulate the two-phase natural circulation in the primary circuit of a PWR. The probability distribution of the water level measured in the reactor pressure vessel simulator was used to characterise the flow in the hot leg. Moreover, the flooding behaviour in this conduit was investigated with dedicated counter-current flow limitation experiments. A comparison of the flooding characteristics with similar experimental data and correlations available in the literature shows that the channel height is the characteristic length to be used in the Wallis parameter for channels with rectangular cross-sections. Furthermore, for the analysis of steam/water experiments, condensation effects had to be taken into account. Finally, the experimental results confirm that the Wallis similarity is appropriate to scale flooding in the hot leg of a PWR over a large range of pressure and temperature conditions. Not least, different examples of comparison between experiment and simulation demonstrate the possibilities offered by the data to support the development and validation of CFD codes. Besides the comparison of qualitative aspects, it is shown exemplarily how to treat the CFD results in order to enable quantitative comparisons with the experiments.

Auf dem Gebiet der mobilen Arbeitsmaschinen und Nutzfahrzeuge zeigen aktuelle Arbeiten weltweit ein verstärktes Interesse an leistungsverzweigten Antriebskonzepten auf Basis elektrischer und hydraulischer Hybridlösungen. Die Kombination beider Technologien verspricht wartungsarme, energieeffiziente Antriebssyteme mit hoher Steuer- und Regelbarbeit sowie hoher Kraftdichte. Die primär erzeugte mechanische Antriebsleistung der Wärmekraftmaschine kann meist für die Arbeitsprozesse und zur Versorgung zugehöriger Hilfsfunktionen nicht direkt verwendet werden. Diese muss je nach Anforderungen gewandelt bzw. angepasst oder bedarfsgerecht mittels zusätzlichen, wiederaufladbaren Speichern bereitgestellt werden. Solche hybriden Lösungsansätze führen jedoch gegenüber konventionellen Antrieben zu einer steigenden Komplexität sowie einem erhöhten technischen Aufwand. Nach dem Stand der Technik erfolgt die Erzeugung hydraulischer und elektrischer Leistung mit Hilfe mindestens dreier Komponenten: Verbrennungsmotor, Hydraulikpumpe und Generator. Für künftige antriebstechnische Innovationen ist daher aus funktionellen und energetischen Gründen ein einfaches, preiswertes Primäraggregat zur gleichzeitigen, bedarfsgerechten Bereitstellung hydraulischer und elektrischer Leistung wünschenswert, welches unnötige Umwandlungsverluste vermeidet und zusätzlich Kosten spart. Das Forschungsprojekt „Theoretische Grundlagen zur Verknüpfung von thermohydraulischer und thermoelektrischer Leistungswandlung in einem Aggregat – Thermohydraulischer Lineargenerator“ befasst sich mit einer belastbaren Abschätzung der technischen Realisierbarkeit und des technischen Aufwands eines derartigen neuen Antriebskonzeptes mit frei wählbarer Bereitstellung hydraulischer und elektrischer Leistung auf Basis des Freikolbenprinzips. Die grundlegenden Untersuchungen widmen sich der Kopplung zweier unterschiedlicher Leistungswandlungen, einer stabilen Prozessführung sowie der Analyse und Bewertung der physikalischen Prozessgrößen in Bezug auf eine zukünftige Auslegung eines Prototyps. Der Beitrag erklärt das Grundkonzept, zeigt den aktuellen Stand des Projekts auf und stellt die zum gegenwärtigen Zeitpunkt vorliegenden Ergebnisse vor.

Stratified two-phase flows were investigated at different test facilities with horizontal test sections in order to provide an experimental database for the development and validation of computational fluid dynamics (CFD) codes. These channels were designed with rectangular cross-sections to enable optimal observation conditions for the application of optical measurement techniques. Consequently, the local flow structure was visualised with a high-speed video camera, delivering data with high-resolution in space and time as needed for CFD code validation. Generic investigations were performed at atmospheric pressure and room temperature in two air/water channels made of acrylic glass. Divers preliminary experiments were conducted with various measuring systems in a test section mounted between two separators. The second test facility, the Horizontal Air/Water Channel (HAWAC), is dedicated to co-current flow investigations. The hydraulic jump as the quasi-stationary discontinuous transition between super- and subcritical flow was studied in this closed channel. Moreover, the instable wave growth leading to slug flow was investigated from the test section inlet. For quantitative analysis of the optical measurements, an algorithm was developed to recognise the stratified interface in the camera frames, allowing statistical treatments for comparison with CFD calculation results. The third test apparatus was installed in the pressure chamber of the TOPFLOW test facility in order to be operated at reactor typical conditions under pressure equilibrium with the vessel atmosphere. The test section representing a flat model of the hot leg of the German Konvoi pressurised water reactor (PWR) scaled at 1:3 is equipped with large glass side walls in the region of the elbow and of the steam generator inlet chamber to allow visual observations. The experiments were conducted with air and water at room temperature and maximum pressures of 3 bar as well as with steam and water at boundary conditions of up to 50 bar and 264°C. Four types of experiments were performed, including generic test cases as well as transient validation cases of typical nuclear reactor safety issues. As an example, the co-current flow experiments simulate the two-phase natural circulation in the primary circuit of a PWR. The probability distribution of the water level measured in the reactor pressure vessel simulator was used to characterise the flow in the hot leg. Moreover, the flooding behaviour in this conduit was investigated with dedicated counter-current flow limitation experiments. A comparison of the flooding characteristics with similar experimental data and correlations available in the literature shows that the channel height is the characteristic length to be used in the Wallis parameter for channels with rectangular cross-sections. Furthermore, for the analysis of steam/water experiments, condensation effects had to be taken into account. Finally, the experimental results confirm that the Wallis similarity is appropriate to scale flooding in the hot leg of a PWR over a large range of pressure and temperature conditions. Not least, different examples of comparison between experiment and simulation demonstrate the possibilities offered by the data to support the development and validation of CFD codes. Besides the comparison of qualitative aspects, it is shown exemplarily how to treat the CFD results in order to enable quantitative comparisons with the experiments.

In der vorliegenden Arbeit wurde das Verhalten dünner Flüssigkeitsfilme an gekrümmten Substratoberflächen durch experimentelle Beschichtungsversuche basierend auf der non-invasiven laserinduzierten Fluoreszenzmesstechnik und durch numerische Filmsimulationen mit Hilfe des Volume-of-Fluid Mehrphasenmodells untersucht. Besonderes Interesse galt dabei dem Finden optimaler Einflussgrößenkombinationen zur Reduzierung des Fettkanten-Effekts. In der hierfür durchgeführten Parameterstudie wurden sowohl Applikationsparameter wie der Kantenrundungsradius und die Applikationsschichtdicke als auch Stoffparameter der untersuchten Flüssigkeit wie die Viskosität und die Oberflächenspannung variiert. Neben qualitativen Beschreibungen der entstandenen Fettkantengestalten sind als Resultate auch Größen zur Quantifizierung der Fettkanten festgelegt worden und systematisch dargestellt. Es konnte nachgewiesen werden, dass ungünstige und geeignete Parameterkonfigurationen existieren, welche prägnante bzw. kaum auffällige Fettkanten erzeugen, insbesondere im Experiment. Über die dabei eingreifenden Mechanismen der zugrundeliegenden Strömungen wurden konkrete Hypothesen aufgestellt, auch um die resultierenden Proportionalitäten der Fettkantengrößen bezüglich der Einflussgrößen zu plausibilisieren. Weiterhin konnte eine Aussage über die Signifikanz der untersuchten Einflussgrößen getroffen werden. Abschließend wurde eine geeignete dimensionslose Kenngröße generiert, um den Fettkanten-Effekt parameterübergreifend beschreiben zu können, wodurch mittels der Ähnlichkeitstheorie auch eine gewisse Abschätzung des Fettkanten-Effekts ermöglicht wird. / In this study the behaviour of a thin liquid layer at a curved solid edge was examined by experimental coating investigations based on the laser-induced fluorescence technique and by numerical film simulations based on the Volume-of-Fluid multiphase flow model, respectively. The main motivation was to find optimal combinations of influencing quantities to reduce the fat-edge effect. Therefore a study of these quantities was performed, in which application parameters like edge radii of curvature and application layer thicknesses as well as determining liquid properties like viscosity and surface tension have been varied. Results are described qualitatively at corresponding fat-edge shapes and quantified by suitable fat-edge parameters, which had to be identified and selected. It could be shown that adverse and appropriate influencing parameter combinations exist, which generate conspicuous and less distinctive fat-edges, respectively - especially in laboratory experiments. The experimental findings and proportionalities regarding fat-edge shapes and dimensions are found to be physically plausible. Furthermore an order of significance of the influencing quantities established. Eventually, a dimensionless quantity was derived by dimensional analysis, which describes the fat-edge effect. Thus, the fat-edge effect has also been described by the application of similarity theory and the corresponding dimenionless number, respectively.