SMS freeforms for illumination

SMS 3D (simultaneous multiple surfaces in their three-dimensional version) is a well-known design method comprising two freeform surfaces that allow the perfect coupling of two wavefronts with another two. The design algorithm provides a collection of line pairs on both surfaces (called SMS spines), whose three-dimensional shape seems arbitrary at first sight. This paper shows that the shapes of the spines are partially governed by applying the étendue conservation theorem to the biparametric bundle of rays linking the paired spines, which is one lesser known étendue invariants found by Poincaré. The resulting formulae for the spines in three-dimensional space happen to coincide with the conventional étendue formulas of two-dimensional geometry, like for instance, the Hottel formula.

Fórmulas para el cálculo del factor de impacto de estructuras semienterradas en líneas de ferrocarril de alta velocidad = Dynamic factors for underpasses in high speed train lines

Los pasos inferiores son muy numerosos en las líneas de ferrocarril. Su comportamiento dinámico ha recibido mucha menos atención que el de otras estructuras como los puentes, pero su elevado número hace que su estudio sea económicamente relevante con vista a optimizar su forma, manteniendo la seguridad. El proyecto de puentes según el Eurocódigo incluye comprobaciones de estados límite de tensiones bajo carga dinámica. En el caso de pasos inferiores, las comprobaciones pueden resultar tan costosas como aquellas de puentes, pese a que su coste es mucho menor. Por tanto, se impone la búsqueda de unas reglas de cálculo simplificado que pongan en consonancia el coste de la estructura con el esfuerzo necesario para su proyecto. Este artículo propone un conjunto de reglas basadas en un estudio paramétrico = Underpasses are common in modern railway lines. Wildlife corridors and drainage conduits often fall into this category of partially buried structures. Their dynamic behavior has received far less attention than that of other structures such as bridges, but their large number makes their study an interesting challenge from the viewpoint of safety and cost savings. The bridge design rules in accordance with the Eurocode involve checks on stresses according to dynamic loading. In the case of underpasses, those checks may be as much as those for bridges. Therefore, simplified design rules may align the design effort with their cost. Such a set of rules may provide estimations of response parameters based on the key parameters influencing the result. This paper contains a proposal based on a parametric study.

Perfil de playas sustentadas : estudio hidrodinámico y experimental : directrices de diseño

Las playas sustentadas por medio de un pie sumergido son una atractiva alternativa de diseño de regeneración de playas especialmente cuando las condiciones física del emplazamiento o las características de la arena nativa y de préstamo producen perfiles de alimentación que no se intersectan. La observación y propuesta de este tipo de solución data de los años 1960’s, así como la experiencia internacional en la construcción de este tipo de playas. Sin embargo, a pesar de su utilización y los estudios en campo y laboratorio, no se dispone de criterios ingenieriles que apoyen el diseño de las mismas. Esta tesis consiste en un análisis experimental del perfil de playas sustentadas en un pie sumergido (o colgadas) que se concreta en una propuesta de directrices de diseño general que permiten estimar la ubicación y características geométricas del pie sumergido frente a un oleaje y material que constituye la playa determinados. En la tesis se describe el experimento bidimensional realizado en el modelo físico de fondo móvil, donde se combinan cinco tipos de oleaje con tres configuraciones del pie sumergido (“Sin estructura”, configuración baja o “Estructura 1” y configuración alta o “Estructura 2”), se presentan los resultados obtenidos y se realiza una discusión detallada de las implicaciones de los resultados desde el punto de vista hidrodinámico utilizando monomios adimensionales. Se ha realizado un análisis detallado del estado del arte sobre playas colgadas, presentando el concepto y las experiencias de realizaciones en distintos países. Se ha realizado una cuidadosa revisión de la literatura publicada sobre estudios experimentales de playas colgadas, modelos teóricos y otras cuestiones auxiliares, necesarias para la formulación de la metodología de la tesis. El estudio realizado se ha estructurado en dos fases. En la primera fase se ha realizado una experimentación en un modelo físico de fondo móvil construido en las instalaciones del Centro de Estudios de Puertos y Costas (CEPYC) del Centro de Estudios y Experimentación de Obras Públicas (CEDEX), consistente en un canal de 36 m de longitud, 3 m de anchura y 1.5 m de altura, provisto de un generador de oleaje de tipo pistón. Se ha diseñado una campaña de 15 ensayos, que se obtienen sometiendo a cinco tipos de oleaje tres configuraciones distintas de playa colgada. En los ensayos se ha medido el perfil de playa en distintos instantes hasta llegar al equilibrio, determinando a partir de esos datos el retroceso de la línea de costa y el volumen de sedimentos perdido. El tiempo total efectivo de ensayo asciende a casi 650 horas, y el número de perfiles de evolución de playa obtenidos totaliza 229. En la segunda fase se ha abordado el análisis de los resultados obtenidos con la finalidad de comprender el fenómeno, identificar las variables de las que depende y proponer unas directrices ingenieriles de diseño. Se ha estudiado el efecto de la altura de ola, del periodo del oleaje, del francobordo adimensional y del parámetro de Dean, constatándose la dificultad de comprensión del funcionamiento de estas obras ya que pueden ser beneficiosas, perjudiciales o inocuas según los casos. También se ha estudiado la respuesta del perfil de playa en función de otros monomios adimensionales, tales como el número de Reynolds o el de Froude. En el análisis se ha elegido el monomio “plunger” como el más significativo, encontrando relaciones de éste con el peralte de oleaje, la anchura de coronación adimensional, la altura del pie de playa adimensional y el parámetro de Dean. Finalmente, se propone un método de diseño de cuatro pasos que permite realizar un primer encaje del diseño funcional de la playa sustentada frente a un oleaje de características determinadas. Las contribuciones más significativas desde el punto de vista científico son: - La obtención del juego de resultados experimentales. - La caracterización del comportamiento de las playas sustentadas. - Las relaciones propuestas entre el monomio plunger y las distintas variables explicativas seleccionadas, que permiten predecir el comportamiento de la obra. - El método de diseño propuesto, en cuatro pasos, para este tipo de esquemas de defensa de costas. Perched beaches are an attractive beach nourishment design alternative especially when either the site conditions or the characteristics of both the native and the borrow sand lead to a non-intersecting profile The observation and suggestion of the use of this type of coastal defence scheme dates back to the 1960’s, as well as the international experience in the construction of this type of beaches. However, in spite of its use and the field and laboratory studies performed to-date, no design engineering guidance is available to support its design. This dissertation is based on the experimental work performed on a movable bed physical model and the use of dimensionless parameters in analyzing the results to provide general functional design guidance that allow the designer, at a particular stretch of coast - to estimate the location and geometric characteristics of the submerged sill as well as to estimate the suitable sand size to be used in the nourishment. This dissertation consists on an experimental analysis of perched beaches by means of a submerged sill, leading to the proposal of general design guidance that allows to estimate the location and geometric characteristics of the submerged sill when facing a wave condition and for a given beach material. The experimental work performed on a bi-dimensional movable bed physical model, where five types of wave conditions are combined with three configurations of the submerged sill (“No structure”, low structure or “Structure 1”, and high structure or “Structure 2”) is described, results are presented, and a detailed discussion of the results - from the hydrodynamic point of view – of the implications of the results by using dimensionless parameters is carried out. A detailed state of the art analysis about perched beaches has been performed, presenting the “perched beach concept” and the case studies of different countries. Besides, a careful revision of the literature about experimental studies on perched beaches, theoretical models, and other topics deemed necessary to formulate the methodology of this work has been completed. The study has been divided into two phases. Within the first phase, experiments on a movable-bed physical model have been developed. The physical model has been built in the Centro de Estudios de Puertos y Costas (CEPYC) facilities, Centro de Estudios y Experimentación de Obras Públicas (CEDEX). The wave flume is 36 m long, 3 m wide and 1.5 m high, and has a piston-type regular wave generator available. The test plan consisted of 15 tests resulting from five wave conditions attacking three different configurations of the perched beach. During the development of the tests, the beach profile has been surveyed at different intervals until equilibrium has been reached according to these measurements. Retreat of the shoreline and relative loss of sediment in volume have been obtained from the measurements. The total effective test time reaches nearly 650 hours, whereas the total number of beach evolution profiles measured amounts to 229. On the second phase, attention is focused on the analysis of results with the aim of understanding the phenomenon, identifying the governing variables and proposing engineering design guidelines. The effect of the wave height, the wave period, the dimensionless freeboard and of the Dean parameter have been analyzed. It has been pointed out the difficulty in understanding the way perched beaches work since they turned out to be beneficial, neutral or harmful according to wave conditions and structure configuration. Besides, the beach profile response as a function of other dimensionless parameters, such as Reynolds number or Froude number, has been studied. In this analysis, the “plunger” parameter has been selected as the most representative, and relationships between the plunger parameter and the wave steepness, the dimensionless crest width, the dimensionless crest height, and the Dean parameter have been identified. Finally, an engineering 4-step design method has been proposed, that allows for the preliminary functional design of the perched beach for a given wave condition. The most relevant contributions from the scientific point of view have been: - The acquisition of a consistent set of experimental results. - The characterization of the behavior of perched beaches. - The proposed relationships between the plunger parameter and the different explanatory variables selected, that allow for the prediction of the beach behavior. - The proposed design method, four-step method, for this type of coastal defense schemes.

Can Lis : la huella de la arquitectura de Jørn Utzon a través de esta obra

La tesis “CAN LIS, La huella de la arquitectura de Jørn Utzon a través de su obra Can Lis” analiza en profundidad la vivienda que Jørn Utzon realizó para sí mismo en la entonces calle de la Media Luna, Porto Petro, Mallorca, entre los años 1970-74. La investigación plantea el análisis de esta obra maestra de la arquitectura, sus causas e intenciones, su proceso proyectual, su proceso constructivo, sus relaciones e influencias y sus significados últimos. Este estudio es fruto de una labor de investigación que comenzó hace más de 10 años. Enfrentarse a una obra cuya imagen es tan conocida es una tarea menos sencilla de lo que pudiera parecer. La descripción del proceso de trabajo de Jørn Utzon en Can Lis, y de su método en general, contiene un considerable número de mitificaciones que han sido comúnmente sostenidas por diversos estudiosos de prestigio, que han abordado esta obra sin un estudio razonable de la documentación existente, ni una investigación de los archivos, ni una comprobación de los hechos o una consulta de los testigos intervinientes. Por ello, cuestiones fundamentales habían quedado en el terreno de la conjetura y permanecía deformada la visión general de los procesos de Jørn Utzon en Mallorca. La tesis se ha estructurado en dos grandes apartados que permitan la comprensión de los elementos fundamentales para su gestación: por un lado, el proceso proyectual y constructivo con sus circunstancias y condicionantes y, por otro, el conjunto de hechos y conceptos que han influido de manera directa y significativa en su concreción. Esta investigación contiene una cantidad considerable de materiales y hechos inéditos, fruto de su desarrollo, así como documentación y dibujos nunca publicados anteriormente. Es por tanto, el estudio más completo realizado sobre Can Lis hasta la fecha. En la primera parte de la tesis “CAN LIS” se aborda todo el proceso proyectual de Can Lis desde los primeros croquis, con las condiciones y motivaciones iniciales, los proyectos sucesivos, el proyecto básico y el proyecto de ejecución, hasta el proceso de construcción, su desarrollo y circunstancias, así como las modificaciones posteriores introducidas. Estos elementos se estructuran en tres apartados 1) Las condiciones y condicionantes iniciales. 2) El proceso proyectual. 3) El proceso constructivo. En la segunda parte de la tesis “La huella de la arquitectura de Jørn Utzon a través de su obra Can Lis” se han analizado de manera particular algunos hechos arquitectónicos y vitales previos que fueron especialmente determinantes en la concepción de Can Lis y la serie de influencias directas que son imprescindibles para la comprensión de las condiciones en que se desarrolló y de las ideas que alumbra. Estudios previos de toda la trayectoria de Utzon y todo el corpus de influencias ayudaron a determinar cuáles de ellos son fundamentales para la comprensión del proceso. Estos elementos se pueden considerar directamente precursores de ideas desarrolladas específicamente en Can Lis: 4) La experimentación en Australia: la naturaleza, la dimensión humana y la técnica. La casa de Bayview. 5) Utzon y el descubrimiento de lo islámico: la secuencia espacial, la materia y la luz de la arquitectura islámica como experiencia de aprendizaje. 6) Paisaje sacro, hombre y arquitectura: la búsqueda de Utzon en Grecia. Las conclusiones de este estudio determinan una serie de certezas sobre los procesos de Jørn Utzon en Can Lis, y en su obra global, durante las diversas fases creativas que desmitifican muchos acercamientos precedentes: la visión universal de la arquitectura en su acercamiento al proyecto, el entretejido método proyectual de Utzon, la precisa búsqueda del desarrollo constructivo junto a la ejemplaridad en el rigor, la vitalidad y la espiritualidad con que Utzon aborda la arquitectura, la trascendencia de la forma de habitar de las personas y el valor que para Utzon tiene la arquitectura como medio para revelar el orden universal que nos rodea. ABSTRACT “CAN LIS. The footprint of Jørn Utzon´s architecture through his work Can Lis” carries out a thorough analysis of the house Jørn built for himself between 1970 and 1974 on the street formerly called Calle de la Media Luna, in Porto Petro on the island of Mallorca. The research focuses on the causes that brought about this masterpiece, its purposes, design and building processes, its relations with and influences on other buildings and its ultimate meanings. This study is the result of a research that started over 10 years ago. Approaching a piece of work whose image is so well-known is harder than one might think. Many aspects of Jørn Utzon´s working method in Can Lis particularly but also generally have been described inaccurately and mythicized by several renowned scholars, who hadn´t really studied the existing documents or archives nor confirmed their hypotheses or consulted witnesses of the creation of Can Lis. This is why many key issues have been uncertain all this time and the general idea about Utzon´s working process in Mallorca has been distorted. This dissertation has been structured into two main sections with the aim of helping understand all the facts that led to the creation of the building: the first part describes the design and building processes, as well as the circumstances and constraints under which they were carried out. The second part presents the events and ideas that directly and indirectly influenced the final work. This thesis contains a large amount of unpublished material and information, documents and drawings from the creation process as the inevitable result of a long lasting tenacious research. It probably is the most comprehensive study on Can Lis so far. The first section, “CAN LIS”, addresses the design process of Can Lis from the very first sketches all the way through the subsequent plans, including basic and execution plans and the building process up to the changes that were later carried out on the building. The project´s initial conditions and Utzon´s first motivations and the evolution and circumstances of the building process are also described in this section, which has been divided into three parts: 1. The initial conditions and constraints. 2. The design process. 3. The building process. The second section, “The footprint of Jørn Utzon´s architecture through his work Can Lis”, focuses on some events in Utzon´s life and some of his architectural experiences prior to the creation of Can Lis that were decisive to it. Also the direct influences on the process which are key to understanding the conditions under which the creation was carried out as well as the ideas Can Lis sheds a light on are illustrated in this section. A thorough study of the whole process Utzon went through and of all the influences he was subjected to helped determine what is crucial to comprehending Can Lis. These events or experiences can be considered as the direct precursors to the ideas that crystallised in this master piece: 4. Experiments carried out in Australia: nature, human and technical dimensions. The Bayview house. 5. Utzon´s discovery of Islamic architecture: spatial sequences, matter and light as a learning experience. 6. Sacred landscape, man and architecture: Utzon´s quest in Greece. The findings of this research determine some aspects of Utzon´s working methods at every stage of the creation process both in Can Lis and in general, thus shedding light on previous mistaken ideas about Utzon´s way of working. A universal understanding of architecture, an intertwined design method, a tenacious search for the exact construction solutions, an exemplary rigour, vitality and spirituality in the design approach, the transcendence of our way of living and architecture´s potential to reveal the Universal order that surrounds are all aspects that do define Utzon as an architect.

Considerações sobre os métodos de dimensionamento estrutural de pavimentos com camadas recicladas a frio com espuma de asfalto.

A reciclagem profunda com espuma de asfalto tem sido uma alternativa de sucesso para a restauração de pavimentos degradados. Em relação às soluções tradicionais de reabilitação, como os recapeamentos, tem a vantagem de proporcionar a correção de defeitos em camadas inferiores, com a manutenção ou pequena elevação do greide da pista, além de ganhos ambientais, como um menor consumo de materiais virgens da natureza e redução do volume de material descartado. Entretanto, no Brasil não há método para dimensionamento estrutural para esta tecnologia, o que dificulta seu emprego. Para o desenvolvimento de um procedimento de dimensionamento que contemple este tipo de solução, foram estudados métodos presentes na bibliografia internacional: guia da AASHTO de 1993 e Caltrans, dos EUA, TRL386 e TRL611, da Inglaterra, as duas versões do guia sul-africano TG2 e os métodos oriundos do Austroads, tanto o procedimento interino de 2011 como adaptações de órgãos da Austrália e Nova Zelândia. Observou-se divergência de opiniões quanto ao comportamento do material reciclado com espuma de asfalto. Alguns órgãos e autores consideram o comportamento do mesmo mais próximo às misturas asfálticas, sendo o mecanismo de falha o trincamento, e outros o definem como semelhante a um material granular modificado com alta coesão e ruptura devido às deformações permanentes. Correlaciona-se tal associação ao teor de espuma usualmente utilizado nas obras rodoviárias. Outros aspectos que se destacam para este tipo de base são o ganho de resistência ao longo do tempo devido à cura, mesmo com início da operação da rodovia e a importância da infraestrutura remanescente no dimensionamento. Tais fatos foram corroborados pelos estudos de caso e resultados do trecho experimental construído na Rodovia Ayrton Senna - SP 070, monitorado por meio de ensaios deflectométricos com FWD durante um ano. Como resultado do trabalho, foi proposto um procedimento para o dimensionamento estrutural de pavimentos com camadas recicladas a frio com espuma de asfalto utilizando dados deflectométricos que atende o método do Manual de Pavimentação do Departamento Nacional de Infraestrutura de Transportes (DNIT) e incorpora diferentes aspectos na análise mecanicista. Outras conclusões são a viabilidade técnica a longo prazo da solução mencionada e a importância do controle tecnológico, com ênfase para o monitoramento deflectométrico nos primeiros meses de operação do pavimento para averiguar a evolução da cura do material.

Wirkungen monetärer Anreize auf Antworten zur eigenen Delinquenz bei postalischer Befragung

Im vorliegenden Beitrag werden die Ergebnisse einer in dieser Zeitschrift erschienen Studie von Skarbek-Kozietulska, Preisendörfer & Wolter (2012) über die Validität der Antworten straffällig gewordener Befragter aufgegriffen. Die Autoren stellten einen negativen Effekt der Antwortlatenz fest, demzufolge spät Antwortende eher dazu neigen, ihre Straftaten zu leugnen. Die Gründe hierfür vermuten die Autoren in den Eigenheiten der TDM (tailored design method), speziell in wiederholten Nachfassaktionen. Wir untersuchen im Rahmen eines Methodenexperimentes, ob ebenfalls monetäre Anreize als weiterer zentraler Bestandteil der TDM diesen negativen Latenzeffekt für die Antwortbereitschaft verursachen können. Die These, dass der Zusammenhang von Latenz und Validität selbstberichteter Delinquenz über monetäre Anreize moderiert wird, wird dabei empirisch widerlegt.

Genetic algorithms in statistical tolerancing

An important aspect in manufacturing design is the distribution of geometrical tolerances so that an assembly functions with given probability, while minimising the manufacturing cost. This requires a complex search over a multidimensional domain, much of which leads to infeasible solutions and which can have many local minima. As well, Monte-Carlo methods are often required to determine the probability that the assembly functions as designed. This paper describes a genetic algorithm for carrying out this search and successfully applies it to two specific mechanical designs, enabling comparisons of a new statistical tolerancing design method with existing methods. (C) 2003 Elsevier Ltd. All rights reserved.

Confirmation: Increasing resource availability for transactional workflows

The notion of compensation is widely used in advanced transaction models as means of recovery from a failure. Similar concepts are adopted for providing transaction-like behaviour for long business processes supported by workflows technology. In general, it is not trivial to design compensating tasks for tasks in the context of a workflow. Actually, a task in a workflow process does not have to be compensatable in the sense that the forcibility of reverse operations of the task is not always guaranteed by the application semantics. In addition, the isolation requirement on data resources may make a task difficult to compensate. In this paper, we first look into the requirements that a compensating task has to satisfy. Then we introduce a new concept called confirmation. With the help of confirmation, we are able to modify most non-compensatable tasks so that they become compensatable. This can substantially increase the availability of shared resources and greatly improve backward recovery for workflow applications in case of failures. To effectively incorporate confirmation and compensation into a workflow management environment, a three level bottom-up workflow design method is introduced. The implementation issues of this design are also discussed. (C) 2003 Elsevier Science Inc. All rights reserved.

Early practical experience and the social responsiveness of clinical education: Systematic review

Objectives To find how early experience in clinical and community settings (early experience) affects medical education, and identify strengths and limitations of the available evidence. Design A systematic review rating, by consensus, the strength and importance of outcomes reported in the decade 1992-2001. Data sources Bibliographical databases and journals were searched for publications on the topic, reviewed under the auspices of the recently formed Best Evidence Medical Education (BEME) collaboration. Selection of studies All empirical studies (verifiable, observational data) were included, whatever their design, method, or language of publication. Results Early experience was most commonly provided in community settings, aiming to recruit primary care practitioners for underserved populations. It increased the popularity of primary care residencies, albeit among self selected students. It fostered self awareness and empathic attitudes towards ill people, boosted students' confidence, motivated them, gave them satisfaction, and helped them develop a professional identity. By helping develop interpersonal skills, it made entering clerkships a less stressful experience. Early experience helped students learn about professional roles and responsibilities, healthcare systems, and health needs of a population. It made biomedical, behavioural, and social sciences more relevant and easier to learn. It motivated and rewarded teachers and patients and enriched curriculums. In some countries,junior students provided preventive health care directly to underserved populations. Conclusion Early experience helps medical students learn, helps them develop appropriate attitudes towards their studies and future practice, and orientates medical curriculums towards society's needs. Experimental evidence of its benefit is unlikely to be forthcoming and yet more medical schools are likely to provide it. Effort could usefully be concentrated on evaluating the methods and outcomes of early experience provided within non-experimental research designs, and using that evaluation to improve the quality of curriculums.

A new approach to control of MIMO processes with static nonlinearities using an extended IMC framework

In this paper, a new control design method is proposed for stable processes which can be described using Hammerstein-Wiener models. The internal model control (IMC) framework is extended to accommodate multiple IMC controllers, one for each subsystem. The concept of passive systems is used to construct the IMC controllers which approximate the inverses of the subsystems to achieve dynamic control performance. The Passivity Theorem is used to ensure the closed-loop stability. (c) 2005 Elsevier Ltd. All rights reserved.

An object-orient designed FDTD simulator: Applications to high field systems

An object-oriented finite-difference time-domain (FDTD) simulator has been developed for electromagnetic study and design applications in Magnetic Resonance Imaging. It is aimed to be a complete FDTD model of an MRI system including all high and low-frequency field generating units and electrical models of the patient. The design method is described and MRI-based numerical examples are presented to illustrate the function of the numerical solver, particular emphasis is placed on high field studies.

A study of strategic HR issues in an Asian context

Examines five strategic human resource management (HRM) issues using a qualitative methodology. Two of these are related to the central organisational-level constructs of structure and culture. The other three pertain to HR strategy, HR competencies, and HR outsourcing. The study employed the multiple-case design method proposed by Yin, with a view to extending theory in strategic HRM research. Semi-structured interviews were conducted with 35 managers (CEOs, line managers, and HR managers) of nine companies from two major industries in the manufacturing sector – electronic products and machinery/equipment. The research found that top management enlightenment and level of HR competencies together determine the role and status of the HR function in organisations, and that the companies studied pursue four types of HR strategies: informal and not communicated; informal and communicated; formal but not communicated; and formal and communicated. HR strategy was found to affect both vertical and horizontal fits of the HR function. Culture, HR strategy and HR competencies influenced organisational propensity to outsource HR activities.

Cost-exergy optimisation of linear Fresnel reflectors

This paper presents a new method for the optimisation of the mirror element spacing arrangement and operating temperature of linear Fresnel reflectors (LFR). The specific objective is to maximise available power output (i.e. exergy) and operational hours whilst minimising cost. The method is described in detail and compared to an existing design method prominent in the literature. Results are given in terms of the exergy per total mirror area (W/m2) and cost per exergy (US $/W). The new method is applied principally to the optimisation of an LFR in Gujarat, India, for which cost data have been gathered. It is recommended to use a spacing arrangement such that the onset of shadowing among mirror elements occurs at a transversal angle of 45°. This results in a cost per exergy of 2.3 $/W. Compared to the existing design approach, the exergy averaged over the year is increased by 9% to 50 W/m2 and an additional 122 h of operation per year are predicted. The ideal operating temperature at the surface of the absorber tubes is found to be 300 °C. It is concluded that the new method is an improvement over existing techniques and a significant tool for any future design work on LFR systems

Gas distribution in shallow packed beds

Packed beds have many industrial applications and are increasingly used in the process industries due to their low pressure drop. With the introduction of more efficient packings, novel packing materials (i.e. adsorbents) and new applications (i.e. flue gas desulphurisation); the aspect ratio (height to diameter) of such beds is decreasing. Obtaining uniform gas distribution in such beds is of crucial importance in minimising operating costs and optimising plant performance. Since to some extent a packed bed acts as its own distributor the importance of obtaining uniform gas distribution has increased as aspect ratios (bed height to diameter) decrease. There is no rigorous design method for distributors due to a limited understanding of the fluid flow phenomena and in particular of the effect of the bed base / free fluid interface. This study is based on a combined theoretical and modelling approach. The starting point is the Ergun Equation which is used to determine the pressure drop over a bed where the flow is uni-directional. This equation has been applied in a vectorial form so it can be applied to maldistributed and multi-directional flows and has been realised in the Computational Fluid Dynamics code PHOENICS. The use of this equation and its application has been verified by modelling experimental measurements of maldistributed gas flows, where there is no free fluid / bed base interface. A novel, two-dimensional experiment has been designed to investigate the fluid mechanics of maldistributed gas flows in shallow packed beds. The flow through the outlet of the duct below the bed can be controlled, permitting a rigorous investigation. The results from this apparatus provide useful insights into the fluid mechanics of flow in and around a shallow packed bed and show the critical effect of the bed base. The PHOENICS/vectorial Ergun Equation model has been adapted to model this situation. The model has been improved by the inclusion of spatial voidage variations in the bed and the prescription of a novel bed base boundary condition. This boundary condition is based on the logarithmic law for velocities near walls without restricting the velocity at the bed base to zero and is applied within a turbulence model. The flow in a curved bed section, which is three-dimensional in nature, is examined experimentally. The effect of the walls and the changes in gas direction on the gas flow are shown to be particularly significant. As before, the relative amounts of gas flowing through the bed and duct outlet can be controlled. The model and improved understanding of the underlying physical phenomena form the basis for the development of new distributors and rigorous design methods for them.

Studies of the shellside performance of shell-and-tube heat exchangers

Accurate prediction of shellside pressure drop in a baffled shell-and-tube heat exchanger is very difficult because of the complicated shellside geometry. Ideally, all the shellside fluid should be alternately deflected across the tube bundle as it traverses from inlet to outlet. In practice, up to 60% of the shellside fluid may bypass the tube bundle or leak through the baffles. This short-circuiting of the main flow reduces the efficiency of the exchanger. Of the various shellside methods, it is shown that only the multi-stream methods, which attempt to obtain the shellside flow distribution, predict the pressure drop with any degree of accuracy, the various predictions ranging from -30% to +70%, generally overpredicting. It is shown that the inaccuracies are mainly due to the manner in which baffle leakage is modelled. The present multi-stream methods do not allow for interactions of the various flowstreams, and yet it is shown that three main effects are identified, a) there is a strong interaction between the main cross flow and the baffle leakage streams, enhancing the crossflow pressure drop, b) there is a further short-circuit not considered previously i.e. leakage in the window, and c) the crossflow does not penetrate as far, on average, as previously supposed. Models are developed for each of these three effects, along with a new windowflow pressure drop model, and it is shown that the effect of baffle leakage in the window is the most significant. These models developed to allow for various interactions, lead to an improved multi-stream method, named the "STREAM-INTERACTION" method. The overall method is shown to be consistently more accurate than previous methods, with virtually all the available shellside data being predicted to within ±30% and over 60% being within ±20%. The method is, thus, strongly recommended for use as a design method.