Control of integrated unit operations

As a thermal separation method, distillation is one of the most important technologies in the chemical industry. Given its importance, it is no surprise that increasing efforts have been made in reducing its energy inefficiencies. A great deal of research is focused in the design and optimization of the Divided-Wall Column. Its applications are still reduced due to distrust of its controllability. Previous references studied the decentralized control of DWC but still few papers deal about Model Predictive Control. In this work we present a decentralized control of both a DWC column along with its equivalent MPC schema.

The effect of boundary conditions in the numerical solution of 3-D thermoelastic problems

After the extensive research on the capabilities of the Boundary Integral Equation Method produced during the past years the versatility of its applications has been well founded. Maybe the years to come will see the in-depth analysis of several conflictive points, for example, adaptive integration, solution of the system of equations, etc. This line is clear in academic research. In this paper we comment on the incidence of the manner of imposing the boundary conditions in 3-D coupled problems. Here the effects are particularly magnified: in the first place by the simple model used (constant elements) and secondly by the process of solution, i.e. first a potential problem is solved and then the results are used as data for an elasticity problem. The errors add to both processes and small disturbances, unimportant in separated problems, can produce serious errors in the final results. The specific problem we have chosen is especially interesting. Although more general cases (i.e. transient)can be treated, here the domain integrals can be converted into boundary ones and the influence of the manner in which boundary conditions are applied will reflect the whole importance of the problem.

What if criminals optimize their choice? Optimal strategies to defend public goods

We investigate optimal strategies to defend valuable goods against the attacks of a thief. Given the value of the goods and the probability of success for the thief, we look for the strategy that assures the largest benefit to each player irrespective of the strategy of his opponent. Two complementary approaches are used: agent-based modeling and game theory. It is shown that the compromise between the value of the goods and the probability of success defines the mixed Nash equilibrium of the game, that is compared with the results of the agent-based simulations and discussed in terms of the system parameters.

Linear Sparse Differential Resultant Formulas

Let P be a system of n linear nonhomogeneous ordinary differential polynomials in a set U of n-1 differential indeterminates. Differential resultant formulas are presented to eliminate the differential indeterminates in U from P. These formulas are determinants of coefficient matrices of appropriate sets of derivatives of the differential polynomials in P, or in a linear perturbation Pe of P. In particular, the formula dfres(P) is the determinant of a matrix M(P) having no zero columns if the system P is ``super essential". As an application, if the system PP is sparse generic, such formulas can be used to compute the differential resultant dres(PP) introduced by Li, Gao and Yuan.

On the localization of the personalized PageRank of complex networks

In this paper new results on personalized PageRank are shown. We consider directed graphs that may contain dangling nodes. The main result presented gives an analytical characterization of all the possible values of the personalized PageRank for any node.We use this result to give a theoretical justification of a recent model that uses the personalized PageRank to classify users of Social Networks Sites. We introduce new concepts concerning competitivity and leadership in complex networks. We also present some theoretical techniques to locate leaders and competitors which are valid for any personalization vector and by using only information related to the adjacency matrix of the graph and the distribution of its dangling nodes.

Ushahidi

Resumen Ushahidi es el programa africano de mayor difusión mundial, que permite mapear información vital, desde el punto de vista social, en zonas de catástrofe o de conflicto. Originalmente concebida para reunir las múltiples denuncias de fraude en relación a las elecciones kenianas, ha sido utilizada posteriormente en todo el mundo en centenares de situaciones diversas, generalmente relacionadas con situaciones de amenazas, crisis, ayuda humanitaria, etc. Este artículo presenta el fenómeno Ushahidi y sus aplicaciones, a fin de entender su alcance y sus posibles repercusiones. También se introducen temas de gran interés para el desarrollo humano como el Crowdsourcing, la GeoWeb, la Neogeografía y la Información Geográfica Voluntaria, dada su estrecha relación con el objeto del trabajo. Abstract Ushahidi is the African program of global outreach greater, which allows to map vital information from the social point of view, in areas of disaster or conflict. Originally designed to meet the multiple allegations of fraud in relation to the Kenyan elections, has since been used worldwide in hundreds of different situations, usually related to situations of threat, crisis, humanitarian aid, etc. This paper presents the Ushahidi phenomenon and its applications, in order to understand its scope and possible implications. Topics of great interest to human development, as Crowdsourcing, the GeoWeb, the Neogeography and Volunteered Geographic Information, given its close relationship with the object of labor are also introduced.

An introduction to flow and transport in fractal models of porous media: Part I

This special issue gathers together a number of recent papers on fractal geometry and its applications to the modeling of flow and transport in porous media. The aim is to provide a systematic approach for analyzing the statics and dynamics of fluids in fractal porous media by means of theory, modeling and experimentation. The topics covered include lacunarity analyses of multifractal and natural grayscale patterns, random packing's of self-similar pore/particle size distributions, Darcian and non-Darcian hydraulic flows, diffusion within fractals, models for the permeability and thermal conductivity of fractal porous media and hydrophobicity and surface erosion properties of fractal structures.

Multiscale modeling of the plastic behaviour in single crystal tungsten: from atomistic to crystal plasticity simulations

En una planta de fusión, los materiales en contacto con el plasma así como los materiales de primera pared experimentan condiciones particularmente hostiles al estar expuestos a altos flujos de partículas, neutrones y grandes cargas térmicas. Como consecuencia de estas diferentes y complejas condiciones de trabajo, el estudio, desarrollo y diseño de estos materiales es uno de los más importantes retos que ha surgido en los últimos años para la comunidad científica en el campo de los materiales y la energía. Debido a su baja tasa de erosión, alta resistencia al sputtering, alta conductividad térmica, muy alto punto de fusión y baja retención de tritio, el tungsteno (wolframio) es un importante candidato como material de primera pared y como posible material estructural avanzado en fusión por confinamiento magnético e inercial. Sin embargo, el tiempo de vida del tungsteno viene controlado por diversos factores como son su respuesta termo-mecánica en la superficie, la posibilidad de fusión y el fallo por acumulación de helio. Es por ello que el tiempo de vida limitado por la respuesta mecánica del tungsteno (W), y en particular su fragilidad, sean dos importantes aspectos que tienes que ser investigados. El comportamiento plástico en materiales refractarios con estructura cristalina cúbica centrada en las caras (bcc) como el tungsteno está gobernado por las dislocaciones de tipo tornillo a escala atómica y por conjuntos e interacciones de dislocaciones a escalas más grandes. El modelado de este complejo comportamiento requiere la aplicación de métodos capaces de resolver de forma rigurosa cada una de las escalas. El trabajo que se presenta en esta tesis propone un modelado multiescala que es capaz de dar respuestas ingenieriles a las solicitudes técnicas del tungsteno, y que a su vez está apoyado por la rigurosa física subyacente a extensas simulaciones atomísticas. En primer lugar, las propiedades estáticas y dinámicas de las dislocaciones de tipo tornillo en cinco potenciales interatómicos de tungsteno son comparadas, determinando cuáles de ellos garantizan una mayor fidelidad física y eficiencia computacional. Las grandes tasas de deformación asociadas a las técnicas de dinámica molecular hacen que las funciones de movilidad de las dislocaciones obtenidas no puedan ser utilizadas en los siguientes pasos del modelado multiescala. En este trabajo, proponemos dos métodos alternativos para obtener las funciones de movilidad de las dislocaciones: un modelo Monte Cario cinético y expresiones analíticas. El conjunto de parámetros necesarios para formular el modelo de Monte Cario cinético y la ley de movilidad analítica son calculados atomísticamente. Estos parámetros incluyen, pero no se limitan a: la determinación de las entalpias y energías de formación de las parejas de escalones que forman las dislocaciones, la parametrización de los efectos de no Schmid característicos en materiales bcc,etc. Conociendo la ley de movilidad de las dislocaciones en función del esfuerzo aplicado y la temperatura, se introduce esta relación como ecuación de flujo dentro de un modelo de plasticidad cristalina. La predicción del modelo sobre la dependencia del límite de fluencia con la temperatura es validada experimentalmente con ensayos uniaxiales en tungsteno monocristalino. A continuación, se calcula el límite de fluencia al aplicar ensayos uniaxiales de tensión para un conjunto de orientaciones cristalográticas dentro del triángulo estándar variando la tasa de deformación y la temperatura de los ensayos. Finalmente, y con el objetivo de ser capaces de predecir una respuesta más dúctil del tungsteno para una variedad de estados de carga, se realizan ensayos biaxiales de tensión sobre algunas de las orientaciones cristalográficas ya estudiadas en función de la temperatura.-------------------------------------------------------------------------ABSTRACT ----------------------------------------------------------Tungsten and tungsten alloys are being considered as leading candidates for structural and functional materials in future fusion energy devices. The most attractive properties of tungsten for the design of magnetic and inertial fusion energy reactors are its high melting point, high thermal conductivity, low sputtering yield and low longterm disposal radioactive footprint. However, tungsten also presents a very low fracture toughness, mostly associated with inter-granular failure and bulk plasticity, that limits its applications. As a result of these various and complex conditions of work, the study, development and design of these materials is one of the most important challenges that have emerged in recent years to the scientific community in the field of materials for energy applications. The plastic behavior of body-centered cubic (bcc) refractory metals like tungsten is governed by the kink-pair mediated thermally activated motion of h¿ (\1 11)i screw dislocations on the atomistic scale and by ensembles and interactions of dislocations at larger scales. Modeling this complex behavior requires the application of methods capable of resolving rigorously each relevant scale. The work presented in this thesis proposes a multiscale model approach that gives engineering-level responses to the technical specifications required for the use of tungsten in fusion energy reactors, and it is also supported by the rigorous underlying physics of extensive atomistic simulations. First, the static and dynamic properties of screw dislocations in five interatomic potentials for tungsten are compared, determining which of these ensure greater physical fidelity and computational efficiency. The large strain rates associated with molecular dynamics techniques make the dislocation mobility functions obtained not suitable to be used in the next steps of the multiscale model. Therefore, it is necessary to employ mobility laws obtained from a different method. In this work, we suggest two alternative methods to get the dislocation mobility functions: a kinetic Monte Carlo model and analytical expressions. The set of parameters needed to formulate the kinetic Monte Carlo model and the analytical mobility law are calculated atomistically. These parameters include, but are not limited to: enthalpy and energy barriers of kink-pairs as a function of the stress, width of the kink-pairs, non-Schmid effects ( both twinning-antitwinning asymmetry and non-glide stresses), etc. The function relating dislocation velocity with applied stress and temperature is used as the main source of constitutive information into a dislocation-based crystal plasticity framework. We validate the dependence of the yield strength with the temperature predicted by the model against existing experimental data of tensile tests in singlecrystal tungsten, with excellent agreement between the simulations and the measured data. We then extend the model to a number of crystallographic orientations uniformly distributed in the standard triangle and study the effects of temperature and strain rate. Finally, we perform biaxial tensile tests and provide the yield surface as a function of the temperature for some of the crystallographic orientations explored in the uniaxial tensile tests.

Edición semántica inteligente de entornos virtuales

Tradicionalmente, los entornos virtuales se han relacionado o vinculado de forma muy estrecha con campos como el diseño de escenarios tridimensionales o los videojuegos; dejando poco margen a poder pensar en sus aplicaciones en otros ámbitos. Sin embargo, estas tendencias pueden cambiar en tanto se demuestre que las aplicaciones y ventajas de estas facilidades software, se pueden extrapolar a su uso en el ámbito de la enseñanza y el aprendizaje. Estas aplicaciones son los conocidos como Entornos Virtuales Inteligentes (EVI); los cuales, tratan de usar un entorno virtual para llevar a cabo labores de enseñanza y tutoría, aportando ventajas como simulación de entornos peligrosos o tutorización personalizada; cosa que no podemos encontrar en la mayoría de los casos de las situaciones de enseñanza reales. Este trabajo trata de dar solución a una de las problemáticas que se plantean a la hora de trabajar con cualquier entorno virtual con el que nos encontremos y prepararlo para su cometido, sobre todo en aquellos enfocados a la enseñanza: dotar de forma automática e inteligente de una semántica propia a cada uno de los objetos que se encuentran en un entorno virtual y almacenar esta información para su posterior consulta o uso para otras tareas. Esto quiere decir que el objetivo principal de este trabajo, es el proceso de recolección de información que se considera importante de los objetos de los entornos virtuales, como pueden ser sus aspectos de la forma, tamaño o color. Aspectos que, por otra parte, son realmente importantes para poder caracterizar los objetos y hacerlos únicos en un entorno virtual donde, a priori, todos los objetos son los mismos a ojos de un ordenador. Este trabajo que puede parecer trivial en un principio, no lo es tanto; y servirá de sustento fundamental para que otras aplicaciones futuras o ya existentes puedan realizar sus tareas. Una de estas tareas pudiera ser la generación de indicaciones en lenguaje natural para guiar a usuarios a localizar objetos en un entorno virtual, como es el caso del proyecto LORO sobre el que se engloba este trabajo. Algunos ejemplos de uso de esta tarea pueden ser desde ayudar a cualquier usuario a encontrar sus llaves en su propia casa a ayudar a un cirujano a localizar cierta herramienta en un quirófano. Para ello, es indispensable conocer la semántica e información relevante de cada uno de los objetos que se presentan en la escena y diferenciarlos claramente del resto. La solución propuesta se trata de una completa aplicación integrada en el motor de videojuegos y escenarios 3D de mayor soporte del mundo como es Unity 3D, el cual se interrelaciona con ontologías para poder guardar la información de los objetos de cada escena. Esto hace que la aplicación tenga una potencial difusión, gracias a las herramientas antes mencionadas para su desarrollo y a que está pensada para tanto el usuario experto como el usuario común.---ABSTRACT---Traditionally, virtual environments have been related to tridimensional design and videogames; leaving a little margin to think about its applications in other fields. However, this tendencies can be changed as soon as it is proven that the applications and advantages of this software can be taken to the learning and teaching environment. This applications are known as intelligent virtual environments, these use the virtual environment to perform teaching and tutoring tasks; tasks we cannot find in most real life teaching situations. This project aims to give a solution to one of the problematics that appears when someone works with any virtual environments we may encounter and prepare it for its duty, mainly those environments dedicated to teaching: automatically and intelligently give its own semantic to the objects that are in any virtual environment and save this information for its posterior query or use in other tasks. The main purpose of this project is the information recollection process that considers the different important facts about the objects that are in the virtual environments, such as their shape, size or color. Facts that are very important for characterizing the objects; to make them unique in the environment where the objects are all the same to the computer’s eye. This project may seem banal in the beginning, but it is not, it will be the fundamental base for future applications. One of this applications may be a natural language indicator generator for guiding users to locate objects in a virtual environment, such as the LORO project, where this project is included. Some examples of the use of this task are: helping any user to find the keys of his house, helping a surgeon to find a tool in an operation room… For this goals, it is very important to know the semantics and the relevant information of each object of the scenario and differentiate each one of them from the rest. The solution for this proposal is a fully integrated application in the videogame and Unity 3D engine that is related to ontologies so it can save the object’s information in every scenario. The previously mentioned tools, as well as the idea that this application is made for an expert user as well as for a common user, make the application more spreadable.

Integrability of second-order Lagrangians admitting a first-order Hamiltonian formalism

Second-order Lagrangian densities admitting a first-order Hamiltonian formalism are studied; namely, i) necessary and sufficient conditions for the Poincaré–Cartan form of a second-order Lagrangian on an arbitrary fibred manifold p : E → N to be projectable onto J 1 E are explicitly determined; ii) for each of such Lagrangians, a first-order Hamiltonian formalism is developed and a new notion of regularity is introduced; iii) the variational problems of this class defined by regular Lagrangians areprovedtobeinvolutive

Closures of positive braids and the Morton-Franks-Williams inequality

We study the Morton-Franks-Williams inequality for closures of simple braids (also known as positive permutation braids). This allows to prove, in a simple way, that the set of simple braids is an orthonormal basis for the inner product of the Hecke algebra of the braid group defined by Kálmán, who first obtained this result by using an interesting connection with Contact Topology. We also introduce a new technique to study the Homflypt polynomial for closures of positive braids, namely resolution trees whose leaves are simple braids. In terms of these simple resolution trees, we characterize closed positive braids for which the Morton-Franks-Williams inequality is strict. In particular, we determine explicitly the positive braid words on three strands whose closures have braid index three.

Effects of inspections in small world social networks with different contagion rules

Inspections are used to prevent tax evasion or any other unlawful behavior. ? The effect of inspections depends on the network topology and the contagion rule. ? The network is modeled as a Watts?Strogatz Small World that is tuned from regular to random. ? Two contagion rules are applied: continuous and discontinuous. ? The equilibrium populations of payers and evaders are obtained in terms of these system parameters.