Regimes of spray vaporization and combustion in counterflow configurations

This article addresses the problem of spray vaporization and combustion in axisymmetric opposed-jet configurations involving a stream of hot air counterflowing against a stream of nitrogen carrying a spray of fuel droplets. The Reynolds numbers of the jets are assumed to be large, so that mixing of the two streams is restricted to a thin mixing layer that separates the counterflowing streams. The evolution of the droplets in their feed stream from the injection location is seen to depend fundamentally on the value of the droplet Stokes number, St, defined as the ratio of the droplet acceleration time to the mixing layer strain time close to the stagnation point. Two different regimes of spray vaporization and combustion can be identified depending on the value of St. For values of St below a critical value, equal to 1/4 for dilute sprays with small values of the spray liquid mass loading ratio, the droplets decelerate to approach the gas stagnation plane with a vanishing axial velocity. In this case, the droplets located initially near the axis reach the mixing layer, where they can vaporize due to the heat received from the hot air, producing fuel vapor that can burn with the oxygen in a diffusion flame located on the air side of the mixing layer. The character of the spray combustion is different for values of St of order unity, because the droplets cross the stagnation plane and move into the opposing air stream, reaching distances that are much larger than the mixing layer thickness before they turn around. The vaporization of these crossing droplets, and also the combustion of the fuel vapor generated by them, occur in the hot air stream, without significant effects of molecular diffusion, generating a vaporization-assisted nonpremixed flame that stands on the air side outside the mixing layer. Separate formulations will be given below for these two regimes of combustion, with attention restricted to the near-stagnation-point region, where the solution is self-similar and all variables are only dependent on the distance to the stagnation plane. The resulting formulations display a reduced number of controlling parameters that effectively embody dependences of the structure of the spray flame on spray dilution, droplet inertia, and fuel preferential diffusion. Sample solutions are given for the limiting cases of pure vaporization and of infinitely fast chemistry, with the latter limit formulated in terms of chemistry-free coupling functions that allow for general nonunity Lewis numbers of the fuel vapor.

Jeux de séduction dans la comédie de la Restauration : pratique sociale, expérience théâtrale

Colloque tenu en Sorbonne les 17-19 janvier 2008

Objetos de la Geometría algebraica clásica y Espacios anillados

La Geometría Algebraica Clásica puede ser definida como el estudio de las variedades cuasiafines y cuasiproyectivas sobre un campo k, y en particular, del problema de su clasificación salvo isomorfismos -- Estas variedades son, por definición, subconjuntos de los n-espacios afínes y de los n-espacios proyectivos -- Es útil tener a disposición una definición intrínseca de estos objetos, es decir, independiente de un espacio ambiente -- En este artículo se muestra como la noción de Espacio Anillado es la clave para formular estas definiciones y reformular el problema de clasificación

Against interpretation? On global (non-)law, the breaking-up of homo juridicus, and the disappearance of the jurist

This paper investigates the nullification of homo juridicus and the vanishing of the jurist in relation to the liberal global-order project and the emergence and spread of soft-networked channels of post-national governance. By inquiring into the shift from the individual’s active will to the sterile behavioural schemes prompted by the universalisation of liberalism and economic analysis of social interactions, it will be argued that the jurist and the (rule of) law are no longer needed in a post-national system of rational and mechanic causations. Through an analysis of Susan Sontag’s and Josef Esser’s accounts for and against the interpretative task, it will be contended that the re-discovery of the anthropological and onto-sociopolitical function of the jurist depends upon the re-affirmation of: (1) the will’s oscillation between velle and nolle as constitutive of human uniqueness; (2) the need to interpret homo juridicus’s will power normativistically, and what this power leads to.

A SURVEY OF DISTANCE MAGIC GRAPHS

In this report, we survey results on distance magic graphs and some closely related graphs. A distance magic labeling of a graph G with magic constant k is a bijection l from the vertex set to {1, 2, . . . , n}, such that for every vertex x Σ l(y) = k,y∈NG(x) where NG(x) is the set of vertices of G adjacent to x. If the graph G has a distance magic labeling we say that G is a distance magic graph. In Chapter 1, we explore the background of distance magic graphs by introducing examples of magic squares, magic graphs, and distance magic graphs. In Chapter 2, we begin by examining some basic results on distance magic graphs. We next look at results on different graph structures including regular graphs, multipartite graphs, graph products, join graphs, and splitting graphs. We conclude with other perspectives on distance magic graphs including embedding theorems, the matrix representation of distance magic graphs, lifted magic rectangles, and distance magic constants. In Chapter 3, we study graph labelings that retain the same labels as distance magic labelings, but alter the definition in some other way. These labelings include balanced distance magic labelings, closed distance magic labelings, D-distance magic labelings, and distance antimagic labelings. In Chapter 4, we examine results on neighborhood magic labelings, group distance magic labelings, and group distance antimagic labelings. These graph labelings change the label set, but are otherwise similar to distance magic graphs. In Chapter 5, we examine some applications of distance magic and distance antimagic labeling to the fair scheduling of tournaments. In Chapter 6, we conclude with some open problems.

La imagen borrosa

En 1989 se presentó Vanishing Presence en el Walker Art Center en Minneapolis, una muestra que recogía una amplia selección de fotografías con borrones o directamente borrosas. La exposición establecía el recorrido del borrón desde los efectos producidos por la incapacidad técnica hasta su utilización posterior como recurso intencionado.

An algorithm for finding the minimum cost of storing and regenerating datasets in multiple clouds

The proliferation of cloud computing allows users to flexibly store, re-compute or transfer large generated datasets with multiple cloud service providers. However, due to the pay-As-you-go model, the total cost of using cloud services depends on the consumption of storage, computation and bandwidth resources which are three key factors for the cost of IaaS-based cloud resources. In order to reduce the total cost for data, given cloud service providers with different pricing models on their resources, users can flexibly choose a cloud service to store a generated dataset, or delete it and choose a cloud service to regenerate it whenever reused. However, finding the minimum cost is a complicated yet unsolved problem. In this paper, we propose a novel algorithm that can calculate the minimum cost for storing and regenerating datasets in clouds, i.e. whether datasets should be stored or deleted, and furthermore where to store or to regenerate whenever they are reused. This minimum cost also achieves the best trade-off among computation, storage and bandwidth costs in multiple clouds. Comprehensive analysis and rigid theorems guarantee the theoretical soundness of the paper, and general (random) simulations conducted with popular cloud service providers' pricing models demonstrate the excellent performance of our approach.

Análisis de mujeres cachemires como sujetos subalternos en la representación institucional de India y Paquistán a partir del fenómeno de desaparición forzada (1989-2008)

El interés de esta monografía es analizar las consecuencias de la representación institucional de India y Paquistán en la disputa territorial por Cachemira durante el periodo de 1989 a 2008. Puntualmente, se analiza y explica cómo la representación institucional prestada individualmente por India y Paquistán validó sus intereses como agentes de poder en la región, pasó por alto las necesidades de la población cachemir y fomentó la práctica de la desaparición forzada, lo que en consecuencia convirtió a las mujeres cachemires en un grupo subalterno. Para tal objetivo, se hará uso de la teoría postcolonialista, específicamente el enfoque subalternista de la autora Gayatri Chakravorty Spivak ya que permite explicar adecuadamente el proceso mediante el cual las mujeres cachemires se convirtieron en un grupo subalterno.

The Students’ Perspective of Geometry Teaching and Learning in High School

The purpose of this article is to present the results obtained from a questionnaire applied to Costa Rican high school students, in order to know their perspectives about geometry teaching and learning. The results show that geometry classes in high school education have been based on a traditional system of teaching, where the teacher presents the theory; he presents examples and exercises that should be solved by students, which emphasize in the application and memorization of formulas. As a consequence, visualization processes, argumentation and justification don’t have a preponderant role. Geometry is presented to students like a group of definitions, formulas, and theorems completely far from their reality and, where the examples and exercises don’t possess any relationship with their context. As a result, it is considered not important, because it is not applicable to real life situations. Also, the students consider that, to be successful in geometry, it is necessary to know how to use the calculator, to carry out calculations, to have capacity to memorize definitions, formulas and theorems, to possess capacity to understand the geometric drawings and to carry out clever exercises to develop a practical ability.