Bearing tester data compilation analysis, and reporting and bearing math modeling

Integration of heat transfer coefficients, modified to account for local vapor quality, into the 45 mm bearing model has been completed. The model has been evaluated with two flow rates and subcooled and saturated coolant. The evaluation showed that by increasing the flow from 3.6 to 7.0 lbs/sec the average ball temperature was decreased by 102 F, using a coolant temperature of -230 F. The average ball temperature was decreased by 63 F by decreasing the inlet coolant temperature from saturated to -230 F at a flow rate of 7.0 lbs/sec. Since other factors such as friction, cage heating, etc., affect bearing temperatures, the above bearing temperature effects should be considered as trends and not absolute values. The two phase heat transfer modification has been installed in the 57 mm bearing model and the effects on bearing temperatures have been evaluated. The average ball temperature was decreased by 60 F by increasing the flow rate from 4.6 to 9.0 lbs/sec for the subcooled case. By decreasing the inlet coolant temperature from saturation to -24 F, the average ball temperature was decreased 57 F for a flow rate of 9.0 lbs/sec. The technique of relating the two phase heat transfer coefficient to local vapor quality will be applied to the tester model and compared with test data

Planckian Axions in String Theory

We argue that super-Planckian diameters of axion fundamental domains can naturally arise in Calabi-Yau compactifications of string theory. In a theory with $N$ axions $\theta^i$, the fundamental domain is a polytope defined by the periodicities of the axions, via constraints of the form $-\pi<Q^{i}_{j} \theta^j<\pi$. We compute the diameter of the fundamental domain in terms of the eigenvalues $f_1^2\le\...\le f_N^2$ of the metric on field space, and also, crucially, the largest eigenvalue of $(QQ^{\top})^{-1}$. At large $N$, $QQ^{\top}$ approaches a Wishart matrix, due to universality, and we show that the diameter is at least $N f_{N}$, exceeding the naive Pythagorean range by a factor $>\sqrt{N}$. This result is robust in the presence of $P>N$ constraints, while for $P=N$ the diameter is further enhanced by eigenvector delocalization to $N^{3/2}f_N$. We directly verify our results in explicit Calabi-Yau compactifications of type IIB string theory. In the classic example with $h^{1,1}=51$ where parametrically controlled moduli stabilization was demonstrated by Denef et al. in [1], the largest metric eigenvalue obeys $f_N \approx 0.013 M_{pl}$. The random matrix analysis then predicts, and we exhibit, axion diameters $>M_{pl}$ for the precise vacuum parameters found in [1]. Our results provide a framework for achieving large-field axion inflation in well-understood flux vacua.Comment: 42 pages, 4 figure

The Singularity Structure of Scale-Invariant Rank-2 Coulomb Branches

We compute the spectrum of scaling dimensions of Coulomb branch operators in 4d rank-2 $\mathcal{N}{=}2$ superconformal field theories. Only a finite rational set of scaling dimensions is allowed. It is determined by using information about the global topology of the locus of metric singularities on the Coulomb branch, the special K\"ahler geometry near those singularities, and electric-magnetic duality monodromies along orbits of the $\rm\, U(1)_R$ symmetry. A set of novel topological and geometric results are developed which promise to be useful for the study and classification of Coulomb branch geometries at all ranks.Comment: 2 references added, submitted to JHE

Considerations for performance evaluation of solar heating and cooling systems

One of the many factors which must be considered in performance evaluation of solar energy systems is the relative merit of a given solar energy system when compared to a standard conventional system. Although initial and operational costs will be dominant factors in the comparison of the two types of systems and will be given prime consideration in system selection, sufficient data are not yet available for a definitive treatment of these variables. It is possible, however, to formulate relationships between the nonsolar energy requirements of the solar energy systems and the energy requirements of a conventional system in terms of the primary performance parameters of the systems. Derivations of such relationships, some parametric data for selected ranges of the performance parameters, and data with respect to limiting conditions are presented

Considering Standing, Sincerity, and Antidiscrimination

This Article will establish that an unrecognized norm, the “norm of sincerity,” is an implicit factor in the standing analysis in a certain class of equal protection cases. That class of cases includes equal protection claims where 1) courts have applied the “able and ready to compete” test to determine a plaintiff’s injury in fact, and where 2) the plaintiff has complained about discriminatory access to limited government resources. In those cases, a plaintiff cannot demonstrate injury in fact sufficient to meet Article III standing unless she shows that she sincerely intends to use the benefits at stake in the litigation. Further, in these cases, the sincerity judgment is observable when a clear competitive process governs the competition for the resources. No commentator has recognized this developing trend. This Article will also establish that sincerity should play an increasingly visible role in what is sure to be a coming focus of this class of equal protection cases, which is the context of equal protection challenges to racial or ethnic minority preference programs outside of admissions in higher education. This context, referred to herein as the “tempting targets context,” includes, for example, programs such as minority-only or minority-preferred summer orientation and academic preparation programs, scholarships, fellowships, internships, and mentoring programs. The validity of any one of these programs has yet to be resolved by litigation on the merits in court, but those tests are surely coming. No commentator has yet considered the potential standing implications presented by these challenges. Finally, the Article concludes by identifying a proposed model for applying the able and ready standard and its inherent norm of sincerity to this specific and anticipated class of equal protection cases

Racial Politics of American History and the United Nations: The Impact of the Cold War on the Civil Rights Movement

Thesis research focuses around the Civil Rights Congress\u27 1951 United Nations Petition charging the United States with genocide against the African American race. This thesis also examines the complexities of global politics and the impact Communism had on the civil rights organization\u27s ability to gain support for reform on the domestic and international level

The Retablos of Teabo and Mani: The Evolution of Renaissance Altars in Colonial Yucatán

From the turn to seventeenth through the early eighteenth century, three retablos (altarpieces) were created in Yucatán that relied on a similar Renaissance design. The retablos located in the ex-convents of Mani and Teabo all adopt the Spanish sixteenth-century Renaissance style of the Plateresque. Further, the retablos are connected by the inclusion of caryatid framing devices that establishes a strong affinity among the works. Two of the retablos are located in Mani: the Retablo of San Antonio de Padua and the Retablo of Nuestra Señora de Soledad (or sometimes called the Dolores Retablo). At Teabo is the Retablo de Santa Teresita del Niño Jesús (or Las Ánimas). This paper explores the relationships among the retablos by considering their iconography and their styles to address the retablos’ dates and their current locations. While offering insights about these retablos, this contribution also provides a rich discussion of the thriving artistic industry that was present in Yucatán