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The identification and quantification of compounds in the gas phase becomes of increasing interest in the context of environmental protection, as well as in the analytical field. In this respect, the high extinction coefficients of vapours and gases in the ultraviolet wavelength region allow a very sensitive measurement system. In addition, the increased performance of the components necessary for setting up a measurement system, such as fibres, light sources and detectors has been improved. In particular the light sources and detectors offer improved stability, and the deep UV performance and solarisation resistance of fused silica fibres allow have been significantly optimized in the past years. Therefore a compact and reliable detection system with high measuring accuracy is developed. Within this paper possible applications of the system under development and recent results will be discussed.
The structure of the separation bubble that appears in the secondary meridional flow between two coaxially rotating spheres at low and finite Reynolds number (Re) is considered. The low Re analytical study was motivated by recognizing some errors in the analytical work on this problem by Arunachalam and Majhi (1987, Q. Jl Mech. Appl. Math., 40, 47) whilst the finite Re experimental study was motivated by the desire to observe the separation bubble in the laboratory. Though the finite Re experiments were performed in a confined apparatus, they exhibit the qualitative features of the low Re theoretical predictions for the axisymmetric separation bubble that encloses two toroidal vortices symmetrically disposed above and below the mid‐plane of sphere separation, but strong effects of confinement are apparent. The flows observed include (i) a wall‐attached bubble symmetric about the mid‐plane at low Re, (ii) symmetric free‐standing bubbles at moderate Re, and (iii) an asymmetric bubble with flow separating from one sphere and attaching to the support shaft between the spheres at sufficiently high Re.
The free convection in a vertical gap is generalized to realize new analytical solutions of the Boussinesq-equations. The steady and time-dependent solutions for the temperature and velocity distribution are discussed in detail depending on the mass flux in vertical direction. The range of existence for flows with and without back flow is obtained. The transient behaviour of the solutions during the time-dependent development displays interesting physical behaviour.
The use of a TLC scanner can be regarded as a key step in high performance thin layer chromatography (HPTLC). Densitometric measurements transform the substance distribution on a TLC plate into digital computer data. Systems that allow quantitative measurements have been available for many years for either fluorescence or ultraviolet absorption measurements, while lately the reflection analysis mode for both types is the most common application. New scanning approaches are designed to aid the analyst who has common demands for TLC-densitometry without using special data, such as scanned images. Two examples that have been developed lately in the laboratories of the authors are described in this paper. These approaches were developed on the basis of current needs for analysts who employ TLC as a tool in research, as well as in routine analysis. One approach is aimed to support analysts in economically disadvantaged areas, where cost intensive apparatus is unsuitable but trace analysis by simple means is required. The other system, allows the spectral determination of chromatographic spots on TLC plates covering the ultraviolet and visible range, thus, revealing highly desired information for the analyst.
HPTLC (High Performance Thin Layer Chromatography) is a well known and versatile separation method which shows a lot of advantages and options in comparison to other separation techniques. The method is fast and inexpensive and does not need time-consuming pretreatments. Using fiber-optic elements for controlled light-guiding, the TLC-method was significantly improved: the new HPTLC-system is able to measure simultaneously at different wavelengths without destroying the plate surface or the analytes on the surface. For registration of the sample distribution on a HPTLC-plate we developed a new and sturdy diode-array HPTLC- scanner which allows registration of spectra on the TLC- plates in the range of 198 nm to 610 nm with a spectral resolution better than 1.2 nm. The spatial resolution on plate is better than 160 micrometers . In the spectral mode, the new HPTLC-scanner delivers much more information than the commonly used TLC-scanner. The measurement of 450 spectra of one separation track does not need more than three minutes. However, in the fixed wavelength mode the contour plot can be measured within 15 seconds. In this case, the signal will be summarized and averaged over a spectral range having FWHM from 10 nm to 25 nm depending on the substance under test. The new diode-array HPTLC-scanner makes various chemometric applications possible. The new method can be used easily in clinical diagnostic systems easily, e.g. for blood and uring investigations. In addition, new applications are possible. For example, the rich structured PAHs were studied. Although the separation is incomplete the 16 compounds can be quantified using suitable wavelengths.
The aim of this study was to develop a biomechanically validated finite element model to predict the biomechanical behaviour of the human lumbar spine in compression.
For validation of the finite element model, an in vitro study was performed: Twelve human lumbar cadaveric spinal segments (six segments L2/3 and six segments L4/5) were loaded in axial compression using 600 N in the intact state and following surgical treatment using two different internal stabilisation devices. Range of motion was measured and used to calculate stiffness.
A finite element model of a human spinal segment L3/4 was loaded with the same force in intact and surgically altered state, corresponding to the situation of biomechanical in vitro study.
The results of the cadaver biomechanical and finite element analysis were compared. As they were close together, the finite element model was used to predict: (1) load-sharing within human lumbar spine in compression, (2) load-sharing within osteoporotic human lumbar spine in compression and (3) the stabilising potential of the different spinal implants with respect to bone mineral density.
A finite element model as described here may be used to predict the biomechanical behaviour of the spine. Moreover, the influence of different spinal stabilisation systems may be predicted.
Ozon-Querempfindlichkeit bei der Immissionsmessung von schwebstaubakkumuliertem Benzo[a]pyren
(2002)
Für die Beschreibung der Belastung der Luft mit polycyclischen aromatischen Kohlenwasserstoffen (PAK) wird vorwiegend die Konzentration eines Vertreters, das auf Schwebstaub akkumulierte Benzo[a]pyren (BaP), analysiert. Hierbei stellt Benzo[a]pyren die Leit komponen te für die Stoffklasse der PAK dar. Auf europäischer Ebene ist vorgesehen, für diesen Luftinhaltsstoff einen Grenzwert als Jahresmittelwert festzulegen. Deshalb wird bei bei der Normungsbehörde CEN zurzeit eine Europäische Norm für diesen Stoff erarbeitet. Aus der Literatur ist bekannt, dass für Benzo[a]pyren eine Querempfindlichkeit gegen Ozon und NO2 besteht. Im Zuge der Neuentwicklung eines Probenahmekopfs (PNK) für PAK-Immissionsmessungen, der durch den Einsatz eines Ozon- Scrubbers eine ozonfreie Immissionsmessung der Benzo[a]pyren-Konzentration ermög licht, wurde in dieser Arbeit die prinzipielle Einsetzbarkeit dieses Probe nahmekopfs geprüft. Zu diesem Zweck wurden Voruntersuchungen und Feldversuche durchgeführt, mit dem Ziel, Kenntnisse über die Ozon-Querempfindlichkeit zu erhalten. Um die Ozon-Querempfindlichkeit bei der Benzo[a]pyren-Bestimmung zu studieren, wurde Ozon in den Ansaugbereich der Probenahme dosiert. Als Ergebnis der Untersuchungen kann festgehalten werden, dass für die Benzo[a]pyren-Immissionsmessung eine deutliche Ozon-Querempfindlichkeit besteht, die unter Einsatz des neuen Ozon- Scrubbers vermieden werden kann.
A systematic toxicological analysis procedure using high-performance thin layer chromatography in combination with fibre optical scanning densitometry for identification of drugs in biological samples is presented. Two examples illustrate the practicability of the technique. First, the identification of a multiple intake of analgesics: codeine, propyphenazone, tramadol, flupirtine and lidocaine, and second, the detection of the sedative diphenhydramine. In both cases, authentic urine specimens were used. The identifications were carried out by an automatic measurement and computer-based comparison of in situ UV spectra with data from a compiled library of reference spectra using the cross-correlation function. The technique allowed a parallel recording of chromatograms and in situ UV spectra in the range of 197–612 nm. Unlike the conventional densitometry, a dependency of UV spectra by concentration of substance in a range of 250–1000 ng/spot was not observed.
In-situ densitometry for qualitative or quantitative purposes is a key step in thin-layer chromatography (TLC). It is a simple means of quantification by measurement of the optical density of the separated spots directly on the plate. A new scanner has been developed which is capable of measuring TLC or HPTLC (high-performance thin-layer chromatography) plates simultaneously at different wavelengths without damaging the plate surface. Fiber optics and special fiber interfaces are used in combination with a diode-array detector. With this new scanner sophisticated plate evaluation is now possible, which enables use of chemometric methods in HPTLC. Different regression models have been introduced which enable appropriate evaluation of all analytical questions. Fluorescent measurements are possible without filters or special lamps and signal-to-noise ratios can be improved by wavelength bundling. Because of the richly structured spectra obtained from PAH, diode-array HPTLC enables quantification of all 16 EPA PAH on one track. Although the separation is incomplete all 16 compounds can be quantified by use of suitable wavelengths. All these aspects are enable substantial improvement of in-situ quantitative densitometric analysis.
HPTLC (High Performance Thin Layer Chromatography) is a well known and versatile separation method which shows many advantages when compared to other separation techniques. The method is fast and inexpensive and does not need time-consuming pretreatments. For visualisation of the sample distribution on a HPTLC-plate we developed a new and sturdy HPTLC-scanner. The scanner allows simultaneous registrations of spectra in a range from 198 nm to 612 nm with a spectral resolution of better than 0.8 nm. The on-plate spatial resolution is better than 160 μm. The measurement of 450 spectra in one separation track does not need more than two minutes. The new diode-array scanner offers a fast survey over a TLC-separation and makes various chemometric applications possible. For compound identification a cross-correlation function is described to compare UV sample spectra with appropriate library data. The cross-correlation function herein described can also be used for purity testing. Unresolved peaks can be virtually separated by use of a least squares fit algorithm. In summary, the diode arry system delivers much more information than the commonly used TLC-scanner.
A prototype multiwavelength sensor able to characterise soot emissions in Diesel exhaust in terms of size and concentration has been tested against other methods for diesel particle measurements like electrical mobility sizing (SMPS) and raw exhaust gravimetric sampling (RES). Measurements carried out with the prototype sensor were correlated with the SMPS by assuming spherical and/or fractal aggregate morphology of the particles. Correlation of RES gravimetric data against the sensor and the SMPS led to the calculation of the solid density for soot particles to be 2.3 gr/cm3.
Rotating flow systems are often used to study stability phenomena and structure developments. The closed spherical gap problem is generalized into an open flow system by superimposing a mass flux in meridional direction. The basic solutions at low Reynolds numbers are described by analytical methods. The nonlinear supercritical solutions are simulated numerically and realized in experiments. Novel steady and time-dependent modes of flows are obtained. The extensive results concern the stability behaviour, non-uniqueness of supercritical solutions, symmetry behaviour and transitions between steady and time-dependent solutions. The experimental investigations concern the visualization of the various instabilities and the quatitative description of the flow structures including the laminar-turbulent transition. A comparison between theoretical and experimental results shows good agreement within the limit of rotational symmetric solutions from the theory.
An algorithm is presented that has successfully been utilized in practice for several years. It improves data analysis in chromatography. The program runs in an extremely reliable way and evaluates chromatographic raw data with an acceptable error. The algorithm requires a minimum of preliminaries and integrates even unsmoothed noisy data correctly.
In this paper a high-performance thin-layer chromatography (HPTLC) scanner is presented in which a special fibre arrangement is used as HPTLC plate scanning interface. Measurements are taken with a set of 50 fibres at a distance of 400 to 500 μm above the HPTLC plate. Spatial resolutions on the HPTLC plate of better than 160 μm are possible. It takes less than 2 min to scan 450 spectra simultaneously in a range of 198 to 610 nm. The basic improvement of the item is the use of highly transparent glass fibres which provide excellent transmission at 200 nm and the use of a special fibre arrangement for plate illumination and detection.
Shapes and structures of vortex breakdown phenomena in rotating fluids are visualized. We investigate the flow in a cylindrical container and in a cone between two spherical surfaces. The primary swirling flow is induced by the rotating upper disk in the cylindrical case and by the lower boundary in the spherical case. The upper surface can be fixed with a no slip condition or can be a stress-free surface. Depending on these boundary conditions and on the Reynolds number novel structures of recirculation zones are realized. Experiments are done to visualize the topological structure of the flow and to determine their existence range as function of the geometry and rotation rate. A comparison between the experimental and theoretical approach shows a good agreement in respect to the topological structures of the flows.
Numerische Physik
(2019)
Dieses Lehrbuch stellt die Numerische Physik anhand einer Vielzahl von Beispielen aus den Bereichen Mechanik, Elektrodynamik, Optik, Statistischer Physik und Quantenmechanik dar. Der Leser lernt hier nicht nur die wichtigsten numerischen Techniken in der Programmiersprache C++ kennen, sondern erhält auch neue Einblicke in die Physik, die konventionelle Zugänge nicht bieten. Das Werk schließt damit eine Lücke zwischen den Standardlehrbüchern der Theoretischen Physik und denen der reinen Programmierung.
Zu jedem der physikalischen Themen gibt es eine kurze Wiederholung des theoretischen Hintergrunds und anschließend werden ausgewählte Beispiele im Detail ausgearbeitet. Übungen am Ende des Kapitels bieten weitere Gelegenheit die Anwendungen des Gelernten zu vertiefen.
Das Buch richtet sich vornehmlich an Physikstudierende höherer Semester, die bereits über eine Basis in Theoretischer Physik verfügen und auch Grundkenntnisse in der Programmierung in C++ mitbringen.
Auf der Produktseite zum Buch auf springer.com finden sich alle Quelltexte zu den Programmen im Buchtext zum Download. Im Anhang erhalten Sie eine Zusammenstellung und Erläuterung frei verfügbarer Software, die sowohl dem Windows-Anwender als auch dem Linux-Freund alle Werkzeuge an die Hand gibt, die er zur Bearbeitung anspruchsvoller physikalischer Fragestellungen benötigt - von Compilern über numerische Bibliotheken bis hin zu Visualisierungstools.
Vorrichtung (2) zur Analyse von Urin, umfassend: – eine Zuführ- und Abführeinrichtung (7), welche zur Zuführung einer bestimmten Urinmenge in eine wenigstens einen Analysebereich (8) aufweisende Analysekammer (9) eines Urinteststreifens (10) und zur Abführung einer bestimmten Urinmenge aus einer wenigstens einen Analysebereich (8) aufweisenden Analysekammer (9) eines Urinteststreifens (10) eingerichtet ist, wobei die Zuführ- und Abführeinrichtung (7) wenigstens ein bewegbar gelagertes Zuführ- und/oder Abführelement (28, 29) zum Zuführen einer bestimmten Urinmenge in einen Zuführbereich (33) der Analysekammer (9) des Urinteststreifens (10) und/oder zum Abführen einer bestimmten Urinmenge aus einem Abführbereich (34) der Analysekammer (9) des Urinteststreifens (10) aufweist, und – eine Erfassungseinrichtung (11), welche zur Erfassung einer zumindest abschnittsweisen Änderung wenigstens eines optisch erfassbaren Parameters, welcher sich in Abhängigkeit der Zusammensetzung einer diesen kontaktierenden Urinmenge optisch erfassbar verändert, des oder eines entsprechenden Analysebereichs (8) des oder eines entsprechenden Urinteststreifens (10) sowie zur Erzeugung einer Erfassungsinformation, welche wenigstens einen optisch erfassten Parameter des oder eines entsprechenden Analysebereichs (8) oder eine Änderung eines solchen beschreibt, eingerichtet ist.
Vorrichtung (2) zur Analyse von Urin, umfassend: – eine Zuführ- und Abführeinrichtung (7), welche zur Zuführung einer bestimmten Urinmenge in eine wenigstens einen Analysebereich (8) aufweisende Analysekammer (9) eines Urinteststreifens (10) und zur Abführung einer bestimmten Urinmenge aus einer wenigstens einen Analysebereich (8) aufweisenden Analysekammer (9) eines Urinteststreifens (10) eingerichtet ist, wobei die Zuführ- und Abführeinrichtung (7) wenigstens ein bewegbar gelagertes Zuführ- und/oder Abführelement (28, 29) zum Zuführen einer bestimmten Urinmenge in einen Zuführbereich (33) der Analysekammer (9) des Urinteststreifens (10) und/oder zum Abführen einer bestimmten Urinmenge aus einem Abführbereich (34) der Analysekammer (9) des Urinteststreifens (10) aufweist, und – eine Erfassungseinrichtung (11), welche zur Erfassung einer zumindest abschnittsweisen Änderung wenigstens eines optisch erfassbaren Parameters, welcher sich in Abhängigkeit der Zusammensetzung einer diesen kontaktierenden Urinmenge optisch erfassbar verändert, des oder eines entsprechenden Analysebereichs (8) des oder eines entsprechenden Urinteststreifens (10) sowie zur Erzeugung einer Erfassungsinformation, welche wenigstens einen optisch erfassten Parameter des oder eines entsprechenden Analysebereichs (8) oder eine Änderung eines solchen beschreibt, eingerichtet ist.