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In model-based diagnostics, a simulation model is used to simulate the same operating conditions as the system to be diagnosed to detect and identify anomalies. For this type of analysis, the diagnostic results may be affected by multiple sources of uncertainty. The most common uncertainty to consider is measurement noise. Other sources of uncertainties may originate from the simulation model, instrumentation setup and numerical issues, such as tolerances. While these are often overlooked, they may affect the result to various extent.
In this paper, a multi-point model-based gas path analysis method is proposed and evaluated in the presence of both measurement noise and model uncertainties. The multi-point algorithm addresses the issue of the diagnostic system being underdetermined, having more health parameters than measurements available for diagnostics. It obtains a unique solution through an optimization, where the deviation in health parameter estimation for the operating conditions going into the analysis is minimised. Model uncertainties are introduced in the system by intentionally skewing the characteristics of the rotating components. The objective function is then reconfigured with a, for the gas turbine diagnostic field, novel method taking model uncertainties of the component maps into account. Through this it is possible to reduce the effect of model uncertainties on the diagnostic result. The study shows that through this approach, the uncertainties in diagnostic results are reduced by $3.7{\rm{\% }}$ for the evaluated operating conditions.
We discuss the Singer conjecture and Gromov–Lück inequality $\chi\geq |\sigma|$ for aspherical complex surfaces. We give a proof of the Singer conjecture for aspherical complex surfaces with residually finite fundamental group that does not rely on Gromov’s Kähler groups theory. Without the residually finiteness assumption, we observe that this conjecture can be proven for all aspherical complex surfaces except possibly those in Class $\mathrm{VII}_0^+$ (a positive answer to the global spherical shell conjecture would rule out the existence of aspherical surfaces in this class). We also sharpen the Gromov-Lück inequality for aspherical complex surfaces that are not in Class $\mathrm{VII}_0^+$. This is achieved by connecting the circle of ideas of the Singer conjecture with the study of Reid’s conjecture.
This paper describes the application of the differential evolution (DE) method for synthesizing radiation patterns of two 4×4 microstrip planar antenna arrays. The performance of the DE algorithm was evaluated by optimizing beam steering with simultaneous sidelobe level (SLL) control. Additionally, the algorithm optimizes the cross-polarization decoupling (XPD) to improve the polarization purity. In the optimization process, the active element patterns were incorporated into the DE algorithm to account for mutual coupling and truncation of the ground plane and the substrate in the determination of the excitation coefficients of each array element. The results demonstrate that the DE method can be effectively used to optimize radiation patterns particularly in terms of main beam pointing direction, SLL control, and XPD with fast convergence and low computational cost.
Türkiye is a country with many seismic fault lines and has experienced major earthquakes throughout its history. In history, 2 major earthquakes occurred in Kahramanmaraş province in 1544 and 1795, causing serious destruction and damage. On February 6, 2023, 2 major earthquakes of 7.7 Mw and 7.6 Mw occurred, centered in Kahramanmaraş (Elbistan and Pazarcık). This great disaster affected 11 cities (about 14 million people), mostly Kahramanmaraş, Hatay, and Malatya. According to the latest official report, it resulted in 50 783 deaths and more than 122 000 injuries.1,2
Undoubtedly, the imperial coinage of Faustina the Younger is the largest surviving primary source for the portraiture and public image of the empress, and excellent work on the subject has already been done.1 Martin Beckmann (B.) sets out to reevaluate the coinage, portraits, and public image of Faustina the Younger, primarily based on a die study of her gold coinage (aurei) from the imperial mint in Rome.2 Die studies are a time-consuming and tedious task, but the results often allow us to better understand the workings of the mint and the (relative) chronology of coins and the images they carry. This is of primary importance for the coins of imperial women, as they are not dated. Moreover, the attribution and chronology of the sculptured portraits almost entirely depends on the coins. Only a correct interpretation of the numismatic evidence allows us to securely establish the relative and absolute chronology of Faustina’s portraiture.
Volcanic fissure eruptions typically start with the opening of a linear fissure that erupts along its entire length, following which, activity localises to one or more isolated vents within a few hours or days. Localisation is important because it influences the spatiotemporal evolution of the hazard posed by the eruption. Previous work has proposed that localisation can arise through a thermoviscous fingering instability driven by the strongly temperature dependent viscosity of the rising magma. Here, we explore how thermoviscous localisation is influenced by the irregular geometry of natural volcanic fissures. We model the pressure-driven flow of a viscous fluid with temperature-dependent viscosity through a narrow fissure with either sinusoidal or randomised deviations from a uniform width. We identify steady states, determine their stability and quantify the degree of flow enhancement associated with localised flow. We find that, even for relatively modest variations of the fissure width (${\lt } 10$ %), the non-planar geometry supports strongly localised steady states, in which the wider parts of the fissure host faster, hotter flow, and the narrower parts of the fissure host slower, cooler flow. This geometrically driven localisation differs from the spontaneous thermoviscous fingering observed in planar geometries and can strongly impact the localisation process. We delineate the regions of parameter space under which geometrically driven localisation is significant, showing that it is a viable mechanism for the observed localisation under conditions typical of basaltic eruptions, and that it has the potential to dominate the effects of spontaneous thermoviscous fingering in these cases.
The papers in this special themed section reflect on, explore, and analyse national and local government policy responses to the recent pandemic between 2020 and 2022, and the short- and longer-term impacts on human security for different groups of people and places, with a particular focus on the UK and Korea. Drawing on an integrated critical human security and state capacity approach and qualitative methodology, they contribute to and further develop debates on the social policy responses to the pandemic and their scarring effects. They also highlight the key role that a state capacity for human security approach can play in promoting inclusive risk governance, recognising and addressing constellations of vulnerability, risk and insecurity, and highlighting the rapid and uneven distribution of the benefits of digital technologies and its potential from compromising as well as enhancing human security.
The present work experimentally investigates the interaction of a buoyant (rigid) spherical particle with a single translating (water) vortex ring, focusing on the effects of particle-to-vortex core size ratio ($D_p/D_{c,o}$) on both the particle dynamics and ring dynamics ($D_p$ = particle diameter, $D_{c,o}$ = vortex core diameter). These interactions are studied for $D_p/D_{c,o}$ = 0.6–1.7, over ring Reynolds numbers ($Re={\varGamma }/{\nu }$; $\varGamma$ = ring circulation) of 6000–67 300. As the buoyant particle comes close to the ring, it gets captured into the low-pressure vortex core, and the interaction begins. The particle within the core undergoes radial oscillation, spins and translates along the ring’s azimuthal axis. As $D_p/D_{c,o}$ increases, the particle undergoes higher-amplitude radial oscillation and a relatively shorter azimuthal translation. The differences in the particle size and its motion within the ring lead to large differences in the ring’s dynamics. A larger particle is seen to lead to a higher ring disruption, substantially reducing the ring’s convection speed and azimuthal enstrophy, which are seen to scale as $(D_p/D_{c,o})^{2.3}Re^{-0.37}$ and $(D_p/D_{c,o})^{1.3}Re^{-0.25}$, respectively. The ring disruption is significant above $D_p/D_{c,o}\approx$ 1.0, beyond which the ring fragments, with up to 60 % drop in convection speed and 90 % drop in enstrophy, at low $Re$, as compared with the base ring. These results for the rigid particle size effects on the vortex ring dynamics are more dramatic than for a deforming bubble. Our results could help to better understand and model buoyant particle (and bubble) interactions with coherent structures in turbulence.
A celadonitic clay deposit is located ∼40 km north-west of Yazlıca-Kütahya (Türkiye) and has promising reserves for ceramic production. To evaluate the potential use of this region, 10 representative clay samples were collected and characterized using X-ray diffraction (XRD), polarized-light microscopy (PM), X-ray fluorescence (XRF), differential scanning calorimetry (DSC), Fourier-transform infrared (FTIR) spectroscopy and scanning electron microscopy with energy-dispersive X-ray spectroscopy (SEM-EDS). According to the Chemical Index of Alteration and Chemical Index of Weathering, the celadonitic clay samples were formed by strong chemical alteration of the Kızıltepe volcanic rocks occurring in the study area. Based on XRD data, SEM-EDS data and chemical and thermal analysis results, the primary minerals present were celadonite-Al, montmorillonite and nontronite in the clay samples formed by the weathering of basaltic rocks. The clay samples were used in thermal and physical tests. Firing properties, including water absorption, dry shrinkage, firing shrinkage, total shrinkage and glaze adhesion, were determined. The white clay specimens are suitable for more decorative and less load-bearing applications, having high porosity and low strength. The green clay samples, however, are ideal for technical and industrial ceramics, having an extremely compact structure and high strength. The properties of these two clays are beneficial for application in different areas in terms of their mechanical and ceramic performance. Additionally, the representative green celadonitic clay samples were used in recipes for opaque, transparent and matte glazes, creating artistic glaze effects for pigments. Hence, the green clay samples could be used as a ceramic pigment.
Experimental investigation of the Rayleigh–Taylor instability (RTI) and its dependence on initial conditions has been challenging, primarily due to the difficulty of creating a well-defined gaseous interface. To address this, a novel soap film technique was developed to create a discontinuous two-dimensional SF$_6$air interface with precisely controlled initial conditions. High-order modes were superimposed on a long-wavelength perturbation to study the influence of initial conditions on RTI evolution. Experiments conducted at Atwood numbers ranging from 0.26 to 0.66 revealed that bubble growth shows a weak dependence on both initial conditions and Atwood numbers, whereas spike growth is more influenced by these factors. Spike growth accelerates as the wavenumber of the imposed high-order modes decreases and/or the Atwood number increases. To quantify these effects, a variation on the previously developed potential flow model was applied, capturing the suppression of high-order modes and Atwood number dependence on RTI growth. In turbulent flow, the self-similar factors of bubbles and spikes exhibit minimal sensitivity to initial conditions. However, in relation to the Atwood number, the self-similar factors of bubbles (or spikes) demonstrate negligible (or significant) dependence. Comparisons with literature revealed that two-dimensional flows yield lower self-similar factors than three-dimensional flows. Furthermore, the discontinuity of the initial interface in this study, achieved through the soap film technique, results in faster spike growth compared with previous studies involving a diffusive initial interface. These findings provide critical insights into the nonlinear dynamics of RTI and underscore the importance of well-characterised initial conditions in experimental studies.
Non-spherical bubble collapses near solid boundaries, generating water hammer pressures and shock waves, were recognized as key mechanisms for cavitation erosion. However, there is no agreement on local erosion patterns, and cavitation erosion damage lacks quantitative analysis. In our experiments, five distinct local erosion patterns were identified on aluminium sample surfaces, resulting from the collapse of laser-induced cavitation bubbles at moderate stand-off distances of $0.4\leqslant \gamma \leqslant 2.2$, namely bipolar, monopolar, annular, solar-halo and central. Among them, the bipolar and monopolar patterns exhibit the most severe cavitation erosion when the toroidal bubbles undergo asymmetrical collapse along the circumferential direction during the second cycle. Shadowgraphy visualization revealed that asymmetrical collapse caused shockwave focusing through head-on collision and oblique superposition of wavefronts. This led to the variations in toroidal bubble radii and the positions of maximum erosion depth not matching at certain stand-off distances. Both initial plasma asymmetry and bubble–wall stand-off distance were critical in determining circumferential asymmetrical collapse behaviours. At large initial aspect ratios, the elliptical jet tips form during the contraction process, resulting in the toroidal bubble collapsing from regions with smaller curvature radii, ultimately converging to the colliding point along the circumferential direction. Our three-dimensional simulations using OpenFOAM successfully reproduce the key features of circumferentially asymmetrical bubble collapse. This study provides new insights into the non-spherical near-wall bubble collapse dynamics and provides a foundation for developing predictive models for cavitation erosion.
I offer an interpretation of Kant’s doctrine of cognitive spontaneity that explains how the understanding can function outside of the efficient-causal structure of nature, without being part of what McDowell calls ‘the domain of responsible freedom’. Contemporary literature is dominated by the ‘cognitive agency’ approach, which identifies cognitive spontaneity with a kind of freedom. Against this view, the ‘cognitive processing view’ banishes agential notions from its account but also reduces the understanding to mere mechanism. I argue that neither of these interpretations is obligatory, motivating a teleological but non-agential account that resists assimilation into either of the current approaches.
Few studies have investigated stapedotomy using 1470 nm diode laser, and the present article contributes with clinical experience.
Methods
A retrospective analysis was conducted to investigate hearing performance of 22 patients undergoing 1470 nm diode laser-assisted primary stapedotomy.
Results
In 8/22 cases, accidental breaches to the inner ear by the laser and in 14/22 cases the stapedotomy was performed as planned only by drill. Air–bone gap and loss of sensorineural hearing were low and with no significant differences for groups at follow-up. No patients with breaches by laser reported new or worse tinnitus.
Conclusion
Accidental breaches in the stapes footplate using this diode laser did not appear to equate with inner ear damage within this limited cohort. Hearing outcomes were not significantly affected. These findings should be interpreted with caution. Further studies evaluating this laser wavelength in stapedotomy is required.