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Investigations into the effects of polymers on small-scale statistics and flow patterns were conducted in a turbulent von Kármán swirling (VKS) flow. We employed the tomographic particle image velocimetry technique to obtain full information on three-dimensional velocity data, allowing us to effectively resolve dissipation scales. Under varying Reynolds numbers ($R_\lambda =168{-}235$) and polymer concentrations ($\phi =0{-}25\ {\textrm{ppm}}$), we measured the velocity gradient tensor (VGT) and related quantities. Our findings reveal that the ensemble average and probability density function (PDF) of VGT invariants, which represent turbulent dissipation and enstrophy along with their generation terms, are suppressed as polymer concentration increases. Notably, the joint PDFs of the invariants of VGT, which characterise local flow patterns, exhibited significant changes. Specifically, the third-order invariants, especially the local vortex stretching, are greatly suppressed, and strong events of dissipation and enstrophy coexist in space. The local flow pattern tends to be two-dimensional, where the eigenvalues of the rate-of-strain tensor satisfy a ratio $1:0:-1$, and the vorticity aligns with the intermediate eigenvector of the rate-of-strain tensor, while it is perpendicular to the other two. We find that these statistics observations can be well described by the vortex sheet model. Moreover, we find that these vortex sheet structures align with the symmetry axis of the VKS system, and orient randomly in the horizontal plane. Further investigation, including flow visualisation and conditional statistics on vorticity, confirms the presence of vortex sheet structures in turbulent flows with polymer additions. Our results establish a link between single-point statistics and small-scale flow topology, shedding light on the previously overlooked small-scale structures in polymeric turbulence.
Resilient Zulu moral economy compelled Natal’s sugar planters and white settler state to introduce Indian indentured workers since 1860. As concerns over productivity in a weak colonial economy informed this decision, meticulous management of labor time crucially shaped the treatment of migrant Indian indentees. Moreover, systemic violence in capital’s life processes formed the culture of work-discipline in the plantations and in other industrial sectors. Subsequently, as contract expired Indian indentees acquired relative economic mobility compared to Africans, they appeared in Zulu critiques of Natal’s settler colonial order. Ironically, dispossessed Zulus reproduced colonial logic of time management while discussing the comparative economic success of Indian “newcomers.” Zulu critiques of colonial labor management also complemented the racial exclusivity of migrant Indians. Analyzing the complex workings of capital, labor, and race in nineteenth-century Natal, this article explains how capital’s life processes shaped violent conflicts in the intimate domestic space of working-class lifeworld.
Floating particles deform the liquid–gas interface, which may lead to capillary repulsion or attraction and aggregation of nearby particles (e.g. the Cheerios effect). Previous studies employed the superposition of capillary multipoles to model interfacial deformation for circular or ellipsoidal particles. However, the induced interfacial deformation depends on the shape of the particle and becomes more complex as the geometric complexity of the particle increases. This study presents a generalised solution for the liquid–gas interface near complex anisotropic particles using the domain perturbations approach. This method enables a closed-form solution for interfacial deformation near particles with an anisotropic shape, as well as the varying height of the pinned liquid–gas contact line. We verified the model via experiments performed with fixed particles held at the water level with shapes such as a circle, hexagon and square, which have either flat or sinusoidal pinned contact lines. Although in this study we concentrate on the equilibrium configuration of the liquid–gas interface in the vicinity of particles placed at fixed positions, our methodology paves the way to explore the interactions among multiple floating anisotropic particles and, thus, the role of particle geometry in self-assembly processes of floating particles.
The study explores the engagement of Russophone Ukrainians with educational policies that increase the status of the Ukrainian language, the standardized tests of Ukrainian, and the subject tests that could be passed in Ukrainian. It argues that this centralized unitary language policy has received support from Russophones. It does so by analyzing the language choices of Russophone students when taking standardized tests in various subjects, as well as admission policies and discussions of relevant policies in local media and social media of the Russophone city of Kharkiv. It shows that following the introduction of standardized tests, the value of Ukrainian has increased across various actors: students have been choosing Ukrainian more, universities have valued Ukrainian in the admission process, and local citizens have defended the status of Ukrainian, relying on decolonial rhetoric. It shows that the decolonial framing of the Ukrainization policies resonated with Russophones enough for them to support them, and not to result in a backlash.
Directional freezing of brine is widely found in numerous environmental and industrial settings. Despite extensive studies, the microscopic evolution of ice-brine structures remains unclear. By combining in situ micro-computed tomography visualisation and theoretical analyses, we reveal new details inside the porous ice structure and its evolution towards a cleaner ice layer. We identify three distinct stages characterised by different brine exclusion rates during solidification: a rapid initial stage possibly lasting seconds from nucleation to local equilibrium without long-range heat or mass transfer; a second stage where the system reaches global thermal equilibrium, involving brine expulsion by volume expansion and convection associated with gravity; and a final prolonged stage dominated by diffusion. Comparison between analytical solutions and the migration rates of microstructural features such as brine stripes, columns and pockets extracted from photographic images confirms these understandings. Morphologically, we capture the formation of random striped patterns together with brine columns during downward freezing and brine skirts during upward freezing, all of which gradually transform into vertically aligned polygonal patterns. The volume fraction of brine pockets in porous ice near the cold end reduces to less than 10 % after 22 h in most experiments. The residual brine pockets, however, are not rejected out of the porous ice as fast as predicted by diffusion and remain persistent. Our findings provide new insights into the brine freezing dynamics, with implications ranging from sea ice formation to freeze desalination and general solidification of binary melts.
The study aimed to summarize estimates of key epidemiological parameters to improve the effectiveness of Clostridioides difficile infection (CDI) mathematical models and quantitatively characterize high-touch surfaces (HTSs) and mutual-touch surfaces in healthcare settings.
Methods:
We systematically searched four databases and applied predefined eligibility criteria to screen, select, and include peer-reviewed studies in accordance with the Preferred Reporting Items for Systematic Reviews and Meta-Analyses guidelines. The study is registered in the International Prospective Register of Systematic Reviews (CRD42023408483).
Results:
Among the 21 C. difficile infection modeling studies, 76.2% used compartmental model approaches that group patients into infection disease categories such as susceptible, infected, or recovered, while 23.8% applied agent-based model approaches that simulate individual patients, staff, or surfaces. Key epidemiological parameters varied widely: estimates of how many new cases one patient could cause—the basic reproduction number (R₀)—ranged from 0.28, suggesting limited hospital spread, to as high as 2.6, which implies sustained in-hospital transmission. Incubation periods were reported between 4 and 18 days. Recovery and recurrence rates also differed across studies. Quantitative HTSs ranking revealed that bed rails, bedside tables, and supply carts were the top three most frequently touched surfaces.
Conclusions:
Our findings highlight that modeling studies used different assumptions and estimates, creating variations in results. Clinicians should interpret modeling outputs, such as predicted spread or effectiveness of an intervention carefully, as differences may reflect real-world variation between hospitals or methodological variation. Developing infection models that reflect real-world conditions will enable healthcare teams better simulate and prioritize interventions, optimize cleaning protocols, and improve CDI transmission models for more targeted prevention.
In Euclidean geometry, a tangential polygon or a circumgon is a polygon that contains an inscribed circle which is also called an incircle and the radius of its incircle is called the inradius. A tangential polygon may be concave or convex. If it is concave, it is the extension of some of its sides that is tangent to the incircle. In this Article we restrict ourselves to convex tangential polygons, so that their corresponding incircles are tangent to each of its sides. Every regular polygon is a circumgon and there are also irregular polygons that are circumgons but not all irregular polygons are circumgons. In what follows, we shall use circumgon or tangential polygon interchangeably according to the situation.
In this paper, a highly integrated wideband 3 × 3 Nolen Matrix with inherent filtering characteristics is proposed. It is based on an arbitrary-phase-difference (A-PD) filtering coupler and phase compensation networks. The proposed A-PD filtering coupler, composed of three groups of coupled lines, offers outstanding advantages, including wide bandwidth, flat output distributions, high frequency selectivity, and compact structure. To address the challenges introduced by the series topology of the Nolen matrix, a differential phase shift network and a phase slope adjustment network are incorporated, ensuring a constant phase difference between stages and minimizing in-band phase errors at the output ports. By integrating the A-PD filtering coupler with the phase compensation networks, a compact Nolen matrix centered at 3.5 GHz is realized, occupying only 0.5 λg × 0.5 λg. Measurement results validate its excellent performance, demonstrating an overlapping bandwidth exceeding 50% under the criteria of 10-dB return loss, 3-dB passband, ±1 dB amplitude imbalance, and ±5° phase difference error. Furthermore, the design achieves over 15 dB stopband rejection.
Biometric identification represents a transformative, advanced technology with significant implications for herd management. Its adoption addresses the critical requirement of accurate identification methods along with upgraded approaches on higher traceability, disease control, genetic management, and economic returns. In this work, a database of muzzle images was collected from 264 Vrindavani cattle, with ages ranging from 6 months to 10 years. To assess the accuracy of muzzle print as a biometric means of identification, this study investigated the efficiency of a 68-layer convolutional neural network called SqueezeNet for the identification of Vrindavani cattle (a crossbred developed in India) using 2,640 muzzle images. It was observed that SqueezeNet gives a harmonious blend of superior accuracy and minimal complexity, rendering it an optimal option for devices with constrained specifications and computing power. Further, the results of this study showed an identification accuracy of 97.22% with a remarkably small model size (<4 MB). This compact size makes it significantly advantageous compared to other models.
Close friends Rebecca and Aisha are taking an integral calculus class. With their permission, we listen in on a conversation that they are having about an integration problem.
The paper analyses the creation of socialist Poland’s foreign and foreign economic policies from 1957 to 1967, focusing on the country’s involvement with the General Agreement on Tariffs and Trade (GATT) and the European Economic Community (EEC). It argues that for the Polish policymakers, the interest in accession to GATT went beyond economic benefits such as alleviating the EEC’s protectionism and securing better terms for exports to the Common Market. Joining the Agreement was also important for the political goals of Polish diplomacy and was considered a part of a general drive for rapprochement with the West and implementation of the principle of peaceful coexistence. Redefining the scope of foreign policy, Polish diplomats attempted to embed Poland in a network of international interdependency and wanted to see the country as a pioneer of the East–West détente.
Severe obesity in adolescents is a public health crisis of increasing concern. Cardiac maladaptation, such as left ventricular hypertrophy, increases the risk of future cardiovascular disease. This study aims to evaluate the impact of weight loss surgery on cardiac geometry in morbidly obese adolescents.
Methods:
A single-centre, randomised controlled trial titled comparing laparoscopic adjustable gastric banding with multidisciplinary lifestyle intervention against a control group with multidisciplinary lifestyle intervention alone. The trial included severely obese adolescents aged 14–16 who had not responded to a minimum of 12 months of multidisciplinary lifestyle intervention. The primary outcome measured was the percentage change in total body weight one year after surgery. Left ventricular geometry was evaluated ultrasonographically before and one year after bariatric surgery.
Results:
In the intervention and control group, a total of 10 and 8 patients received both the baseline and follow-up ultrasonographic examination. BMI significantly decreased in the intervention group compared to the control group (−6.75; 95% CI: -10.28 – −3.23). Moreover, left ventricular mass index (−8.21; 95% CI: −15.43 – −0.98) and relative left ventricular wall thickness (−0.04; 95% CI: −0.07 – 0.00) significantly decreased within the intervention group, reflecting amelioration of adverse remodelling, albeit without statistically significant intervention effect when compared to the control group.
Conclusions:
Significant weight loss through bariatric surgery may improve left ventricular geometry in severely obese adolescents. These findings support the potential of bariatric surgery not only for reducing weight loss but also for improving cardiac health.
In a previous article [1] I showed that the probability of a difference of t units arising when n numbers from a uniform distribution are rounded before, as opposed to after, they are added is(1)Here n is a non-negative integer and t is a positive or negative integer with, the maximum possible error.