Cruise aerodynamics of USB nacelle/wing geometric variations

Experimental results are presented on aerodynamic effects of geometric variations in upper surface blown nacelle configurations at high speed cruise conditions. Test data include both force and pressure measurements on two and three dimensional models powered by upper surface blowing nacelles of varying geometries. Experimental results are provided on variations in nozzle aspect ratio, nozzle boattail angle, and multiple nacelle installations. The nacelles are ranked according to aerodynamic drag penalties as well as overall installed drag penalties. Sample effects and correlations are shown for data obtained with the pressure model

United States Judicial System Failures and Solutions

For years, the American judicial system has unfairly punished the American people. These actions have led to serious societal consequences. We have prisons that sentence people to harsh punishment for nonviolent offenses, an overfunded and militarized police force, and racial biases that lead to the tragic killings of black people at the hands of the police that are intended to protect and serve us. This essay looks to diagnose the United States judicial system’s woes. More importantly, we take a look at what steps can be taken immediately to begin reversing the negative impact of these issues

Chosen Nation: Biblical Theopolitics and the Problem of American Christian Nationalism

Christian theopolitics presupposes that every salvation narrative entails a politics, and that every politics presumes a story of salvation. This means that the church faces a host of theopolitical structures contending with the Christian story for the allegiance, formation, and identity of Christians. However, theopolitical scholarship has largely overlooked or misunderstood one of the church\u27s major challenges today: nationalism. Moreover, this scholarship is unable to properly address the challenge of nationalism due to an inadequate engagement with biblical theopolitics--particularly that of Old Testament Israel--which, in distorted form, is central to nationalism emanating from within the church. In order to supplement theopolitical studies in this regard, this dissertation engages nationalism scholarship to better understand the phenomenon and its relationship to Christianity. It finds that within certain nationalist movements, theological moves are at work that make possible both the formulation and propagation of a national identity that places the nation squarely within the Christian salvation narrative, usually as an extension of Israel, and thereby supplanting the church. In response to this problem, the study develops a biblical theopolitics from both Old and New Testaments of the Christian Bible. This theopolitics presents Israel as the elect and covenanted People of God whom Yahweh establishes as a visible sign of salvation to the nations, the definitive social, political, and economic human community. While Israel diverges from this vocation, Yahweh still provides for its fulfillment by incarnating both Israel and Yahweh in the person of Jesus Christ, culminating in Christ\u27s suffering and exaltation. Christ subsequently establishes the church to carry on the embodiment of covenant fulfilled, dissertationing it to the rest of humanity. By way of example for the theopolitical scholarship it is intended to supplement, the final part of the dissertation examines Christian nationalism in the United States, both in the form of popular narratives put forth by the American Christian Right, as well as more sophisticated academic political theologies. It evaluates these discourses, determining that their attempts to authenticate a particular national identity inevitably distort Christian understanding of the biblical narrative, and thus the identity and practices of the ecclesia

Dispersion of the high-energy phonon modes in Nd1.85_{1.85}Ce0.15_{0.15}CuO4_4

The dispersion of the high-energy phonon modes in the electron doped high-temperature superconductor Nd$_{1.85}$Ce$_{0.15}$CuO$_4$ has been studied by inelastic neutron scattering. The frequencies of phonon modes with Cu-O bond-stretching character drop abruptly when going from the Brillouin zone center along the [100]-direction; this dispersion is qualitatively similar to observations in the hole-doped cuprates. We also find a softening of the bond-stretching modes along the [110]-direction but which is weaker and exhibits a sinusoidal dispersion. The phonon anomalies are discussed in comparison to hole-doped cuprate superconductors and other metallic perovskites

On Charge-3 Cyclic Monopoles

We determine the spectral curve of charge 3 BPS su(2) monopoles with C_3 cyclic symmetry. The symmetry means that the genus 4 spectral curve covers a (Toda) spectral curve of genus 2. A well adapted homology basis is presented enabling the theta functions and monopole data of the genus 4 curve to be given in terms of genus 2 data. The Richelot correspondence, a generalization of the arithmetic mean, is used to solve for this genus 2 curve. Results of other approaches are compared.Comment: 34 pages, 16 figures. Revision: Abstract added and a few small change

Exploratory studies of the cruise performance of upper surface blown configurations: Experimental program, high-speed pressure tests

Basic pressure data are presented which was obtained from an experimental study of upper-surface blown configurations at cruise. The high-speed (subsonic) experimental work, studying the aerodynamic effects of wing-nacelle geometric variations, was conducted around semi-span model configurations composed of diversified, interchangeable components. Power simulation was provided by high-pressure air ducted through closed forebody nacelles. Nozzle geometry was varied across size, exit aspect ratio, exit position and boattail angle. Both 3-D force and 2-D pressure measurements were obtained at cruise Mach numbers from 0.5 to 0.8 and at nozzle pressure ratios up to about 3.0. The experimental investigation was supported by an analytical synthesis of the system using a vortex lattice representation with first-order power effects. Results are also presented from a compatibility study in which a short-haul transport is designed on the basis of the aerodynamic findings in the experimental study as well as acoustical data obtained in a concurrent program. High-lift test data are used to substantiate the projected performance of the selected transport design

Exploratory studies of the cruise performance of upper surface blown configuration: Experimental program, high-speed force tests

The work to develop a wing-nacelle arrangement to accommodate a wide range of upper surface blown configuration is reported. Pertinent model and installation details are described. Data of the effects of a wide range of nozzle geometric variations are presented. Nozzle aspect ratio, boattail angle, and chordwise position are among the parameters investigated. Straight and swept wing configurations were tested across a range of nozzle pressure ratios, lift coefficients, and Mach numbers

Exploratory studies of the cruise performance of upper surface blown configurations. Experimental program: Test facilities, model design instrumentation, and lowspeed, high-lift tests

The model hardware, test facilities and instrumentation utilized in an experimental study of upper surface blown configurations at cruise is described. The high speed (subsonic) experimental work, studying the aerodynamic effects of wing nacelle geometric variations, was conducted around semispan model configurations composed of diversified, interchangeable components. Power simulation was provided by high pressure air ducted through closed forebody nacelles. Nozzle geometry was varied across size, exit aspect ratio, exit position and boattail angle. Three dimensional force and two dimensional pressure measurements were obtained at cruise Mach numbers from 0.5 to 0.8 and at nozzle pressure ratios up to about 3.0. The experimental investigation was supported by an analytical synthesis of the system using a vortex lattice representation with first order power effects. Results are also presented from a compatibility study in which a short haul transport is designed on the basis of the aerodynamic findings in the experimental study as well as acoustical data obtained in a concurrent program. High lift test data are used to substantiate the projected performance of the selected transport design

The hypertoric intersection cohomology ring

We present a functorial computation of the equivariant intersection cohomology of a hypertoric variety, and endow it with a natural ring structure. When the hyperplane arrangement associated with the hypertoric variety is unimodular, we show that this ring structure is induced by a ring structure on the equivariant intersection cohomology sheaf in the equivariant derived category. The computation is given in terms of a localization functor which takes equivariant sheaves on a sufficiently nice stratified space to sheaves on a poset.Comment: Significant revisions in Section 5, with several corrected proof