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Pore-resolved direct numerical simulations are performed to investigate the interactions between streamflow turbulence and groundwater flow through a randomly packed porous sediment bed for three permeability Reynolds numbers, $Re_K=2.56$, 5.17 and 8.94, representative of natural stream or river systems. Time–space averaging is used to quantify the Reynolds stress, form-induced stress, mean flow and shear penetration depths, and mixing length at the sediment–water interface (SWI). The mean flow and shear penetration depths increase with $Re_K$ and are found to be nonlinear functions of non-dimensional permeability. The peaks and significant values of the Reynolds stresses, form-induced stresses, and pressure variations are shown to occur in the top layer of the bed, which is also confirmed by conducting simulations of just the top layer as roughness elements over an impermeable wall. The probability distribution functions (p.d.f.s) of normalized local bed stress are found to collapse for all Reynolds numbers, and their root-mean-square fluctuations are assumed to follow logarithmic correlations. The fluctuations in local bed stress and resultant drag and lift forces on sediment grains are mainly a result of the top layer; their p.d.f.s are symmetric with heavy tails, and can be well represented by a non-Gaussian model fit. The bed stress statistics and the pressure data at the SWI potentially can be used in providing better boundary conditions in modelling of incipient motion and reach-scale transport in the hyporheic zone.
The shock wave–turbulent boundary layer interaction over a compression corner is studied using global stability analysis (GSA) and resolvent analysis based on a separation of scales between the low-frequency, large-scale motions and the turbulent fluctuations. The GSA identifies a leading stationary mode, which becomes globally unstable as the ramp angle is beyond a critical value. For globally stable flows, the resolvent analysis captures two-dimensional and three-dimensional local maxima in optimal gain, both of which are due to modal resonance between the forcing and the leading global mode. Notably, the frequency-premultiplied optimal gain associated with two-dimensional disturbances peaks at a low frequency. For different interaction strengths, the peak frequencies collapse onto a universal value of 0.015 when non-dimensionalized using the length of the separation region and the free-stream velocity. A numerical simulation perturbed with the corresponding optimal forcing reveals that the response is in the form of a back-and-forth shock motion.
We characterize measure-theoretic sequence entropy pairs of continuous actions of abelian groups using mean sensitivity. This addresses an open question of Li and Yu [On mean sensitive tuples. J. Differential Equations297 (2021), 175–200]. As a consequence of our results, we provide a simpler characterization of Kerr and Li’s independence sequence entropy pairs ($\mu $-IN-pairs) when the measure is ergodic and the group is abelian.
This meta-analysis aimed to consolidate existing data from randomised controlled trials on hypoplastic left heart syndrome.
Methods:
Hypoplastic left heart syndrome specific randomised controlled trials published between January 2005 and September 2021 in MEDLINE, EMBASE, and Cochrane databases were included. Regardless of clinical outcomes, we included all randomised controlled trials about hypoplastic left heart syndrome and categorised them according to their results. Two reviewers independently assessed for eligibility, relevance, and data extraction. The primary outcome was mortality after Norwood surgery. Study quality and heterogeneity were assessed. A random-effects model was used for analysis.
Results:
Of the 33 included randomised controlled trials, 21 compared right ventricle-to-pulmonary artery shunt and modified Blalock–Taussig-Thomas shunt during the Norwood procedure, and 12 regarded medication, surgical strategy, cardiopulmonary bypass tactics, and ICU management. Survival rates up to 1 year were superior in the right ventricle-to-pulmonary artery shunt group; this difference began to disappear at 3 years and remained unchanged until 6 years. The right ventricle-to-pulmonary artery shunt group had a significantly higher reintervention rate from the interstage to the 6-year follow-up period. Right ventricular function was better in the modified Blalock–Taussig-Thomas shunt group 1–3 years after the Norwood procedure, but its superiority diminished in the 6-year follow-up. Randomised controlled trials regarding medical treatment, surgical strategy during cardiopulmonary bypass, and ICU management yielded insignificant results.
Conclusions:
Although right ventricle-to-pulmonary artery shunt appeared to be superior in the early period, the two shunts applied during the Norwood procedure demonstrated comparable long-term prognosis despite high reintervention rates in right ventricle-to-pulmonary artery shunt due to pulmonary artery stenosis. For medical/perioperative management of hypoplastic left heart syndrome, further randomised controlled trials are needed to deliver specific evidence-based recommendations.
We present a statistical characterization of the interaction between a planar shock and a finite-diameter, cylindrical column of dense gas based on three-dimensional, large-eddy simulation results. In the simulation, the column of gas is initially inclined at an angle $\alpha _0$ with respect to the shock plane. Effects of the initial column angle on the mixing characteristics are examined at Mach number 2.0 for column incline angles $1^\circ$, $5^\circ$, $10^\circ$ and $30^\circ$. Mean velocity profiles show that the column angle affects the gas velocity components in the vertical plane, but not in the spanwise direction. The gas undergoes higher initial upward acceleration at larger initial column incline angles. With time, the gas motion tends to become one-dimensional in the streamwise direction. Initially, velocity fluctuations are most intense within the interior of the column, but concentrate near the column leading edge over time. At high wavenumbers $\kappa$, the turbulent kinetic energy spectra follow a power-law scaling of $\kappa ^{-1}$. The structure functions of the mass fraction do not clearly demonstrate power-law scaling except at early times for $\alpha _0=30^\circ$, manifesting overall trends very similar to those observed in earlier experiments. Probability distributions of the mass fraction show independence of the mean and the standard deviation of the mixed gas on $\alpha _0$. The column angle was also found to have little effect on the mixing efficiency characterized by the molecular mixedness. Velocity components in the streamwise and transverse directions tend towards a bimodal distribution for larger $\alpha _{0}$.
This article explores how political division manifested itself in the electricity systems of West and East Berlin and analyses the strategies of both throughout the 40 years of the Cold War. It reveals how the goal of full energy independence propagated by both West and East proved illusory for material, geopolitical, institutional, economic and environmental reasons. Apart from vestiges of past interdependence, pressures to collaborate gained impetus from the 1970s onwards. The Berlin experience, the article concludes, generates lessons for navigating socio-technical in-/interdependencies over electricity infrastructures in geopolitically contested contexts by highlighting the material politics of urban energy history.
Town twinning is often seen as a linear driving force of European integration. This article argues that town twinning’s historicity is more complex. The initial post-war period, according to today’s practitioners’ accounts, was characterized by a high degree of personal involvement which transformed into an exposure to relationship uncertainty. By way of contrast, twinning practices since the 1990s are reported as being driven by a more managerial logic. The shift from the imaginary of ‘reconciliation’ to that of ‘integration’ comes along with a change in twinning practices, the distribution of responsibilities and the share of personal involvement and exposure.
We report an experimental study of the motion of a clapping body consisting of two flat plates pivoted at the leading edge by a torsion spring. Clapping motion and forward propulsion of the body are initiated by the sudden release of the plates, initially held apart at an angle $2\theta _o$. Results are presented for the clapping and forward motions, and for the wake flow field for 24 cases, where depth-to-length ratio ($d^* = 1.5,1\text { and }0.5$), spring stiffness per unit depth ($Kt$), body mass ($m_b$) and initial separation angle ($2\theta _o = 45^{\circ }\text { and }60^{\circ }$) are varied. The body initially accelerates rapidly forward, then slowly retards to nearly zero velocity. Whereas the acceleration phase involves a complex interaction between plate and fluid motions, the retardation phase is simply fluid dynamic drag slowing the body. The wake consists of either a single axis-switching elliptical vortex loop (for $d^* = 1\text { and }1.5$) or multiple vortex loops (for $d^* = 0.5$). The body motion is nearly independent of $d^*$ and most affected by variation in $\theta _o$ and $Kt$. Using conservation of linear momentum and conversion of spring strain energy into kinetic energy in the fluid and body, we obtain a relation for the translation velocity of the body in terms of the various parameters. Approximately 80 % of the initial stored energy is transferred to the fluid, only 20 % to the body. The experimentally obtained cost of transport lies between 2 and $8\ \mathrm {J}\ \mathrm {kg}^{-1}\ \mathrm {m}^{-1}$.
The conservative—as both a philosophy and a political ideology—was radically unstable in the Victorian period, and so too were its manifestations in the literary sphere. However, as one of the keynotes of Victorian politics, life, and literature, it raises some serious questions about the consequences for our scholarship that it remains relatively neglected and undertheorized. We should train ourselves to read for the conservative alongside the liberal, to see how conservative aesthetics shape writers and texts in myriad ways.
Historicity—that is, a cultural and aesthetic engagement with historical movement—is a crucial term for analyzing and evaluating what we commonly call “realist” fiction. In The Historical Novel (1939), Georg Lukács famously associated literature's historicity with the realist novel's ability to capture historical movement through typical characters, a feature he tied to Walter Scott's historical romances. For Lukács, Scott's “faithfulness” to history does not imply “a chronicle-like, naturalistic reproduction of language, mode of thought, and feeling of the past.” Rather, it comes from the way Scott uses “necessary anachronism” to portray the past “as the necessary prehistory of the present,” primarily through his protagonists’ symbolic movement between warring camps. Although historical romances remained popular in British literature after Scott's death, Victorian historical romances differed from the Waverley novels in important ways. This brief keyword essay considers the nature of those differences and their effect on literature's historicity more generally.
In the nineteenth century, Britain had intense political, economic, and cultural relations with the Ottoman Empire: they were political allies during the Crimean War; for several decades, British creditors ran the Ottoman economy via Ottoman Public Debt Administration; many Ottoman cultural institutions, such as the Imperial Museum, were modeled after their British counterparts. Given this interconnected history, this essay argues that the Ottoman Empire could provide a rich field of inquiry for the Victorian studies as the field tries to “undiscipline” itself.
This essay sketches out how “the provinces” became a central (if semi-imagined) geography in nineteenth-century culture, usually opposed to—though ultimately inextricable from—the development of capitalist and colonial modernity. Surveying recent criticism on the Victorian provincial novel, especially its imbrication with broader scales and networks, I suggest that recent scholarship in critical cartography and feminist theory offers a way to reconceptualize the notion of the provincial in (and beyond) Victorian studies. If to be provincial is always to be opposed to some real or imagined center—toggling between countryside, colony, region, and minor capital—we might revise our understanding of the provincial itself as a relational phenomenon, unfolding on multiple scales. Ultimately, I propose the “provincial” as a critical heuristic for the spatial analysis of narrative: one that might offer a more productive means of grasping modernity's uneven production of space beyond city/country, metropole/colony, and even local/global divides.
This keyword essay establishes the significance of international law for the study of Victorian globalization. The history of international law has not really been registered yet by scholars in Victorian studies, but we might obtain a number of dividends by remedying that deficit.
In Victorian studies, the term “extraction” helps us express the nineteenth-century emergence of a society fully reliant on finite underground materials and thereby describe the material and value relations at the heart of imperialism and at the heart of the provincial-metropole dynamic. Much of the recent attention to extraction in Victorian studies and beyond returns us to the sites of removal, to the extraction zones or sacrifice zones left behind when commodities of value are withdrawn, tallied, and sold. In Victorian literature, England's coal mines, copper mines, quarries, and other sites of extraction left a hefty footprint, but so did the British extractive industry that was increasingly moving to the colonial frontier. Written in the aftermath of the emergence of the first fossil-fuel-based society, Victorian literature is a crucial archive for understanding extractivism and how it was both normalized and challenged across the British imperial world.
This paper analyses aspects of generalized method of moments (GMM) inference in moment equality models in settings where standard regularity conditions may break down. Explicit analytic formulations for the asymptotic distributions of estimable functions of the GMM estimator and statistics based on the GMM criterion function are derived under relatively mild assumptions. The moment Jacobian is allowed to be rank deficient, so first order identification may fail, the values of the Jacobian singular values are not constrained, thereby allowing for varying levels of identification strength, the long-run variance of the moment conditions can be singular, and the GMM criterion function weighting matrix may also be chosen sub-optimally. The large-sample properties are derived without imposing a specific structure on the functional form of the moment conditions. Closed-form expressions for the distributions are presented that can be evaluated using standard software without recourse to bootstrap or simulation methods. The practical operation of the results is illustrated via examples involving instrumental variables estimation of a structural equation with endogenous regressors and a common CH features model.
We define a one-dimensional family of Bridgeland stability conditions on $\mathbb {P}^n$, named “Euler” stability condition. We conjecture that the “Euler” stability condition converges to Gieseker stability for coherent sheaves. Here, we focus on ${\mathbb P}^3$, first identifying Euler stability conditions with double-tilt stability conditions, and then we consider moduli of one-dimensional sheaves, proving some asymptotic results, boundedness for walls, and then explicitly computing walls and wall-crossings for sheaves supported on rational curves of degrees $3$ and $4$.