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It is known that the disintegration of vertical liquid curtains (sheets) is affected crucially by the amplification of free edge holes forming inside the curtain. This paper aims to investigate the influence of the hole expansion dynamics, driven by the so-called rim retraction, on the breakup of a liquid curtain, in both supercritical (Weber number $We > 1$) and subcritical ($We < 1$) conditions. The analysis is based on three-dimensional direct numerical simulations. For a selected supercritical configuration, the steady flow topology is first analysed. The investigation reveals the classic triangular shape regime of the steady curtain, due to the surface-tension-induced borders retraction towards its centre plane. The unsteady dynamics is then investigated as the curtain response to a hole perturbation introduced artificially in the steady flow configuration. The hole evolution determines a rim retraction phenomenon inside the curtain, which is influenced by both capillary and gravity forces. In supercritical conditions, the hole does not influence the curtain flow dynamics in the long-time limit. By reducing the Weber number slightly under the critical threshold ($We=1$), the initial amplification rate of the hole area increases, due to the stronger retraction effect of surface tension acting on the hole rims. The free hole expansion in fully subcritical conditions ($We < 1$) is investigated finally by simulating an edge-free curtain flow. As $We$ decreases progressively, the hole expands while it is convected downstream by gravity acceleration. In the range $0.4< We<1$, the subcritical curtain returns to the intact unperturbed configuration after the hole expulsion at the downstream outflow. For $We<0.4$, the surface tension force becomes strong enough to reverse the gravitational motion of the hole top point, which retracts upstream towards the sheet inlet section while expanding along the lateral directions. This last phenomenon causes finally the breakup of the curtain, which results in a columnar regime strictly resembling similar experimental findings of the literature.
Steady shock reflection where the incident shock is free of interaction with other waves has been well studied. In this paper, we consider the less studied shock reflection problem where the incident shock interacts with the wedge trailing-edge expansion fan, which occurs when the wedge trailing-edge height surpasses a threshold. The influence of this interaction on the advance of transition from Mach reflection to regular reflection is quantified in terms of the wedge trailing-edge height ratio. The wave pattern, including primary and reflected Mach waves, for Mach reflection with interaction is clarified using computational fluid dynamics (CFD) and the method of characteristics. Those reflected Mach waves having an important effect on Mach reflection are identified. A simplified Mach stem model that accounts for the direct role of the interaction on the incident shock and its indirect role on the reflected shock and slipline is built up on a past model without interaction. Both theory and CFD show that the Mach stem height decreases nonlinearly with increasing trailing-edge height.
Reflexive homology is the homology theory associated to the reflexive crossed simplicial group; one of the fundamental crossed simplicial groups. It is the most general way to extend Hochschild homology to detect an order-reversing involution. In this paper we study the relationship between reflexive homology and the $C_2$-equivariant homology of free loop spaces. We define reflexive homology in terms of functor homology. We give a bicomplex for computing reflexive homology together with some calculations, including the reflexive homology of a tensor algebra. We prove that the reflexive homology of a group algebra is isomorphic to the homology of the $C_2$-equivariant Borel construction on the free loop space of the classifying space. We give a direct sum decomposition of the reflexive homology of a group algebra indexed by conjugacy classes of group elements, where the summands are defined in terms of a reflexive analogue of group homology. We define a hyperhomology version of reflexive homology and use it to study the $C_2$-equivariant homology of certain free loop and free loop-suspension spaces. We show that reflexive homology satisfies Morita invariance. We prove that under nice conditions the involutive Hochschild homology studied by Braun and by Fernàndez-València and Giansiracusa coincides with reflexive homology.
The boundary layer thickness on a compressor blade suction surface increases rapidly under a adverse pressure gradient and even separates from the blade surface. This paper proposes a novel method for developing the slot inside the blade, with the inlet of the slot located at the leading edge of the blade and the outlet located at the suction surface, using the momentum of the incoming flow to form a high velocity jet to control the boundary layer on the suction surface. For a plane cascade with a diffusion factor of 0.45, the effects of the main slot parametres (such as the shape of the slot and the positions of the slot inlet and outlet) on the flow in the slot, the flow field and the aerodynamic performance of the cascade were investigated with a numerical method. When the aerodynamic performance of cascades with slotted and unslotted blades was compared, it was found that a reasonable slot structure can effectively inhibit the development of the boundary layer on the blade suction surface and greatly improve the aerodynamic performance of the cascade. Based on the influence of the slot parametres of the above cascade, the slot of a plane cascade with a diffusion factor of 0.60 was designed. The numerical calculation results show that the slotted cascade with a diffusion factor of 0.60 outperformed the slotted cascade with a diffusion factor of 0.45. This result showed that the higher the cascade load, the greater the performance improvement from slotting. Furthermore, the unslotted and slotted cascades were tested, and the test results agreed well with the calculations. The aerodynamic performance of the slotted cascade was better than that of the unslotted cascade, which verifies the accuracy of the calculation method and the feasibility of blade slotting for suppressing the development of boundary layers on suction surfaces and reducing flow loss.
Initial specimen diversion devices (ISDDs) are a potential solution for reducing blood-culture contamination rates. We report the implementation of an ISDD associated with a sustained reduction in blood-culture contamination rates for >18 months after implementation. We did not observe a clinically significant reduction in inpatient vancomycin usage.
We apply a multisystem perspective to three aims relevant to resilience for young children in emergency and transitional homeless shelters. We consider profiles of risks and resources before shelter, early childhood program enrollment during shelter, and the likelihood of returning to shelter or having a subsequent child welfare placement. We used longitudinal, city-wide data from multiple sources integrated at the individual level across the lifespan for 8 birth cohorts. Young children (N = 1,281) stayed in family shelters during an 18-month period during a multisystem intervention. Risk factor rates were high as were rates of early childhood program enrollment (66.1% in any program; 42.3% in a high-quality program), which may suggest positive effects of the multisystem intervention. Multilevel latent class analysis revealed four profiles, considering prior shelter stays, prior child welfare placements, prior elevated lead levels, perinatal factors (teenage mother, prenatal care, low maternal education, and poor birth outcomes), demographics, and early childhood program enrollment and quality. One profile with higher rates of child welfare placement before the shelter stay and considerable enrollment in high-quality early childhood programs corresponded to lower rates of subsequent child welfare placement. Profiles did not differ on the likelihood of returning to shelter.
Research has found that affirming national identity can encourage the public’s trust toward a foreign adversary. On the other hand, aggressor states have attempted to recategorize identity by promoting a superordinate identity that includes both aggressor and defender states. In comparison with national identity affirmation, we test how effective emphasis of a common identity might be in the context of Russia-Ukraine and evaluate the scope conditions under which such a strategy may backfire. We propose that the effectiveness of the two identity affirmation approaches should differ across people with varying levels of national chauvinism. We expect that high-in-chauvinism individuals will experience more worldview-conflict when exposed to promotion of superordinate identity. Experimental findings on Ukrainians’ trust toward Russia in 2020 suggest a policy that emphasizes a common identity can backfire among highly chauvinistic Ukrainians in the Western region. This indicates that recategorizing one’s nation as a member of a larger group may fuel resistance among individuals with a sense of nationalistic superiority. By contrast, highlighting Ukrainian national identity boosted trust toward Russia even among the more chauvinistic respondents in the Southeastern region. This study helps identify the scope conditions of identity affirmation as a way to increase trust in international relations.
This article examines the discussion of core Islamic rituals in the writings of the influential eighteenth-century Sufi, hadith scholar, and jurist Shah Wali Allah of Delhi (d. 1762). It brings out the implications of Wali Allah's sustained concern with demonstrating how divinely mandated rituals serve human interests, not just at the individual but also at the societal and political levels. This aspect of Wali Allah's thought has parallels with how many modernists and Islamists in colonial and post-colonial South Asia have sought to explain Islamic rituals in terms of their social ramifications. But there are some significant differences between them, too, and these help shed further light on Wali Allah's distinctive theory of ritual.
This article discusses the integration of research methods training into a third-year elective undergraduate course. We suggest that the building blocks of research design can be embedded in courses without compromising their content. This introduces research methods to students who have no prior methods training or gives students with methods training more opportunities to engage in research design. We present evidence that this approach increased students’ self-assessed knowledge of and confidence with research-related skills, especially among those without prior methods training. Additionally, the analysis of research proposals—the final assignment of the course—revealed that most students were able to apply core research design skills. These findings demonstrate that progress in research methods skills is possible across the curriculum.
Let $X$ be a smooth projective variety defined over an algebraically closed field of positive characteristic $p$ whose tangent bundle is nef. We prove that $X$ admits a smooth morphism $X \to M$ such that the fibers are Fano varieties with nef tangent bundle and $T_M$ is numerically flat. We also prove that extremal contractions exist as smooth morphisms. As an application, we prove that, if the Frobenius morphism can be lifted modulo $p^2$, then $X$ admits, up to a finite étale Galois cover, a smooth morphism onto an ordinary abelian variety whose fibers are products of projective spaces.
The “No Miracle Argument” for scientific realism contends that the only plausible explanation for the predictive success of scientific theories is their truthlikeness, but doesn’t specify what ‘truthlikeness’ means. I argue that if we understand ‘truthlikeness’ in terms of Kullback-Leibler (KL) divergence, the resulting realist thesis (RKL) is a plausible explanation for science’s success. Still, RKL probably falls short of the realist’s ideal. I argue, however, that the strongest version of realism that the argument can plausibly establish is RKL. The realist needs another argument for establishing a stronger realist thesis.
In this article, I defend the view that the Northern Ireland Troubles can usefully be described as an ethnic conflict. I critically examine two manifestos on this subject, those by Richard Bourke and Simon Prince respectively, which rest on misrepresentations of the scholarship on Northern Ireland. The issues raised by these historians are relevant to the historiography of nationalism and the study of civil war. I focus on the coincidence of religious affiliation and political allegiance in Ulster and the mechanisms by which patterns of conflict have been reproduced over time, suggesting several reasons why historians and political scientists have turned to the notion of ethnicity to describe the persistence of antagonism in the North of Ireland. In the final section, focusing on the loyalist agitator John McKeague, I argue that the literature on ethnicity helps historians to understand the outbreak of the Northern Ireland conflict better than does the singular concentration on democratic ideas recommended by Bourke and Prince.
This article explores how the Greek state created and implemented the legislation relating to recognition of the National Resistance during three different transitional periods of the country's postwar history: civil war, dictatorship and democracy. The article's principal argument is that recognition served as the main tool for building consecutive national narratives not only of the resistance but also of Greekness, determining who was included in and excluded from the nation. By addressing one of the most loaded political issues in Greek society and politics in its entirety, this article revisits Greece's postwar history, highlighting the ruptures and continuities over a long period.
In this paper we obtain a duality result for the exponential utility maximization problem where trading is subject to quadratic transaction costs and the investor is required to liquidate her position at the maturity date. As an application of the duality, we treat utility-based hedging in the Bachelier model. For European contingent claims with a quadratic payoff, we compute the optimal trading strategy explicitly.
Administrative decisions are unlawful if they are unreasonable, in the sense that Associated Provincial Picture Houses Ltd. v Wednesbury Corporation made famous. What is Wednesbury unreasonableness, precisely? Courts have not clearly said, and existing academic answers are flawed. Here I propose a new answer. My claim, roughly, is that a Wednesbury unreasonable decision is one that a court is entitled, given the evidence before it, to conclude was wrong, given the evidence before the authority when it made the decision. In a slogan: Wednesbury unreasonableness is demonstrable wrongness.
Autism is associated with challenges in emotion recognition. Yet, little is known about how emotion recognition develops over time in autistic children. This four-wave longitudinal study followed the development of three emotion-recognition abilities regarding four basic emotions in children with and without autism aged 2.5 to 6 years over three years. Behavioral tasks were used to examine whether children could differentiate facial expressions (emotion differentiation), identify facial expressions with verbal labels (emotion identification), and attribute emotions to emotion-provoking situations (emotion attribution). We confirmed previous findings that autistic children experienced more difficulties in emotion recognition than non-autistic children and the group differences were present already from the preschool age. However, the group differences were observed only when children processed emotional information from facial expressions. When emotional information could be deduced from situational cues, most group differences disappeared. Furthermore, this study provided novel longitudinal evidence that emotion recognition improved with age in autistic children: compared to non-autistic children, autistic children showed similar learning curves in emotion discrimination and emotion attribution, and they showed greater improvements in emotion identification. We suggest that inclusion and respect in an environment free of stereotyping are likely to foster the development of emotion recognition among autistic children.