Laminar counterflow parallel-plate heat exchangers: Exact and approximate solutions

Multilayered, counterflow, parallel-plate heat exchangers are analyzed numerically and theoretically. The analysis, carried out for constant property fluids, considers a hydrodynamically developed laminar flow and neglects longitudinal conduction both in the fluid and in the plates. The solution for the temperature field involves eigenfunction expansions that can be solved in terms of Whittaker functions using standard symbolic algebra packages, leading to analytical expressions that provide the eigenvalues numerically. It is seen that the approximate solution obtained by retaining the first two modes in the eigenfunction expansion provides an accurate representation for the temperature away from the entrance regions, specially for long heat exchangers, thereby enabling simplified expressions for the wall and bulk temperatures, local heat-transfer rate, overall heat-transfer coefficient, and outlet bulk temperatures. The agreement between the numerical and theoretical results suggests the possibility of using the analytical solutions presented herein as benchmark problems for computational heat-transfer codes.

Exact solution for the conjugate fluid-fluid problem in the thermal entrance region of laminar counterflow heat exchangers

A generalized Lévêque solution is presented for the conjugate fluid–fluid problem that arises in the thermal entrance region of laminar counterflow heat exchangers. The analysis, carried out for constant property fluids, assumes that the Prandtl and Peclet numbers are both large compared to unity, and neglects axial conduction both in the fluids and in the plate, assumed to be thermally thin. Under these conditions, the thermal entrance region admits an asymptotic self-similar description where the temperature varies as a power ϳ of the axial distance, with the particularity that the self-similarity exponent must be determined as an eigenvalue by solving a transcendental equation arising from the requirement of continuity of heat fluxes at the heat conducting wall. Specifically, the analysis reveals that j depends only on the lumped parameter ƙ = (A2/A1)1/3 (α1/α2)1/3(k2/k1), defined in terms of the ratios of the wall velocity gradients, A, thermal diffusivities, α i, and thermal conductivities,k i, of the fluids entering, 1, and exiting, 2, the heat exchanger. Moreover, it is shown that for large (small) values of K solution reduces to the classical first (second) Lévêque solution. Closed-form analytical expressions for the asymptotic temperature distributions and local heat-transfer rate in the thermal entrance region are given and compared with numerical results in the counterflow parallel-plate configuration, showing very good agreement in all cases.

Planta de separación en plataforma Offshore

El proyecto aborda el diseño de un tren de separación de la plataforma petrolífera Njord, en el Mar del Norte. A partir del producto saliente del pozo se obtiene una corriente de crudo con características que hacen posible su venta en el mercado. Para conseguir este objetivo es necesario el diseño de un proceso que separe las tres distintas fases presentes en el fluido del pozo. Este proceso utiliza equipos como separadores, intercambiadores de calor, compresores y turbinas. Para completar el estudio del proceso se realiza un estudio energético, que incluye el sistema que proporciona energía al sistema. Abstract This project tackles the design of a crude separation unit in Njord offshore oil platform in the North Sea. The process obtains a crude oil stream that fulfils the specifications that makes it suitable to be sold in the market from the fluid that is obtained from the well. To achieve this objective it is necessary to make the design of a separation unit that divides the three different phases of the reservoir fluid. The separation unit will include the design and specification of equipment such as vessels, heat exchangers, compressors and turbines. The project also includes an energetic study, which includes de design of system that provides energy to the process.

Planta de licuación de 1 MTPA LNG Prico en Texas, EEUU

En este proyecto se ha realizado el dimensionamiento de los equipos básicos de una planta de licuación de gas natural cuya localización es Texas, EEUU. La capacidad de la planta es de 1 MTPA y funciona mediante un proceso de licuefacción de licencia Prico. Su objetivo fundamental es servir de apoyo en las puntas de consumo de gas natural (el cual varía considerablemente según la época del año) mediante reinyección del producto en los gaseoductos en los momentos de mayor demanda o incluso mediante su transporte en camiones cisterna. El proyecto ha comprendido el análisis del proceso Prico con su diagrama de flujo, el dimensionamiento de los intercambiadores de calor (carcasa y tubos y plate-fin), selección de los equipos rotativos, simulación del proceso y dimensionamiento de tuberías, así como un pequeño estudio económico. Abstract In this project, sizing of main equipment of a natural gas liquefaction plant has been developed. The plant is located in Texas, EEUU. Plant capacity is 1 MTPA and is designed to produce LNG by using a Prico liquefaction process. The main objective of the designed plant is to support the peaks of consumption of natural gas (which varies considerably along the year) by liquefying, storing and reinjecting the natural gas in the pipelines or even using tanker trucks to take LNG to consumers. The project includes the analysis of the Prico process flow diagram, sizing of the heat exchangers (shell & tube and plate-fin), selection of rotatory equipment, process simulation and pipe sizing, and a viability analysis.

Evaluación teórico experimental de la influencia de espumas de relleno metálicas como elementos de absorción de energía en perfiles tubulares de pequeño espesor. Su aplicación a vehículos para el transporte colectivo de personas

Los accidentes con implicación de autocares en los que se producen vuelcos ponen de manifiesto la especial agresividad de los mismos, como lo confirman las estadísticas. Como medida para mejorar la seguridad de los Vehículos de Grandes Dimensiones para el Transporte de Pasajeros (V.G.D.T.P.) frente a vuelco fue aprobado por las Naciones Unidas el Reglamento Nº 66 de Ginebra. Este reglamento establece los requisitos mínimos que las estructuras de los vehículos de grandes dimensiones deben cumplir con respecto a vuelco. El reglamento 66 ha supuesto un paso adelante muy importante en relación con la seguridad de los autocares, puesto que especifica por primera vez requerimientos estructurales a este tipo de vehículos, y en general ha supuesto una mejora del vehículo . Por otro lado, a consecuencia de la obligatoriedad de instalación de cinturones de seguridad, existe una unión entre pasajeros y vehículo, pero como no se trata de una unión rígida, hay que contemplar el porcentaje de la masa de los ocupantes que influye en la absorción de energía de la estructura. Además la retención de los ocupantes con cinturones de seguridad influye en la energía a absorber por la estructura del vehículo en dos aspectos, por un lado aumenta la masa del vehículo y en el otro se incrementa la altura el centro de gravedad. Esta situación a conducido a elaborar por parte de las Naciones Unidas la revisión 01 del Reglamento 66, en el que se considera que el 50 % de la masa total de los pasajeros posee una unión rígida con la estructura del vehículo, y por lo tanto debe ser tenida en cuenta si el vehículo posee sistemas de retención. En la situación actual, con limitaciones de peso del vehículo y peso por eje, los elementos de confort, seguridad y espacio para maleteros contribuyen a aumentar el peso del vehículo. Esto unido a la dificultad de introducción de cambios radicales en la concepción actual de fabricación de este tipo de vehículos por suponer unas pérdidas importantes para los fabricantes existentes, tanto en su conocimiento del producto como en su metodología de proceso, conlleva la necesidad cada vez más agobiante de analizar y evaluar otras alternativas estructurales que sin suponer grandes revoluciones a los productos actualmente en fabricación los complementen permitiendo adaptarse a los nuevos requerimientos en seguridad. Recientes desarrollos en la relación costo-beneficio de los procesos para la producción de materiales celulares metálicos de baja densidad, tales como las espumas metálicas, los posiciona como una alternativa de especial interés para la aplicación como elementos de absorción de energía para reforzar estructuras. El relleno con espumas metálicas puede ser más eficiente en términos de optimización de peso comparado con el aumento de espesor de los perfiles estructurales, dado que la absorción de energía se produce en una fracción relativamente pequeña de los perfiles, en las denominadas rótulas plásticas. La aplicación de espumas de relleno metálicas en estructuras de vehículos se está empezando a emplear en determinadas zonas de los vehículos de turismo, siendo totalmente novedosa cualquier intento de aplicación en estructuras de autobuses y autocares. Conforme a lo expuesto, y con el objeto de resolver estos problemas, se ha elaborado el presente trabajo de tesis doctoral, cuyos objetivos son: -Desarrollar un modelo matemático, que permita simular el ensayo de vuelco, considerando la influencia de los ocupantes retenidos con cinturones de seguridad para evaluar su influencia en la absorción de energía de la estructura. -Validar el modelo matemático de vuelco de la estructura mediante ensayos de secciones representativas de la estructura del vehículo y mediante el ensayo de un vehículo completo. -Realizar un estudio de las propiedades de las espumas metálicas que permitan incorporarlas como elemento de absorción de energía en el relleno de componentes de la superestructura de autobuses y autocares. -Desarrollar un modelo matemático para evaluar el aporte del relleno de espuma metálica en la absorción de energía ante solicitaciones por flexión estática y dinámica en componentes de la superestructura de autobuses o autocares. -Realizar un programa de ensayos a flexión estáticos y dinámicos para validar el modelo matemático del aporte del relleno de espuma metálica sobre componentes de la superestructura de autobuses y autocares. . -Incorporar al modelo matemático de vuelco de la estructura, los resultados obtenidos sobre componentes con relleno de espuma metálica, para evaluar el aporte en la absorción de energía. -Validar el modelo de vuelco de la estructura del autobús o autocar con relleno de espuma metálica, mediante ensayos de secciones de carrocería. ABSTRACT Accidents involving buses in which rollovers occur reveal the special aggressiveness thereof, as the statistics prove. As a measure to improve the safety of large vehicles for the transport of passengers to rollover, Regulation 66 of Geneva was approved by the United Nations. This regulation establishes the minimum requirements that structures of large vehicles must comply with respect to rollovers. The regulation 66 has been a major step forward in relation to the safety of coaches, since it specifies structural requirements to such vehicles and has been an improvement for the vehicle. In turn, as a result of compulsory installation of safety belts, there is contact between passengers and vehicle, but as it is not a rigid connection we must contemplate the percentage of the mass of the occupants that impacts on the energy absorption of the structure. Thus, the passengers’ restraining modifies the energy to absorb by the vehicle in two different aspects: On the one hand, it increases the vehicle weight and on the other the height of the center of gravity. This circumstance has taken the United Nations to elaborate Revision 01 of Regulation 66, in which it is considered that the 50 percent of passengers’ mass has a rigid joint together with the vehicle structure and, therefore, the passengers’ mass mentioned above should be highly considered if the vehicle has seat belts. In the present situation, in which limitations in vehicle weight and weight in axles are stricter, elements of comfort, safety and space for baggage are contributing to increase the weight of the vehicle. This coupled with the difficulty of introducing radical changes in the current conception of manufacturing such vehicles pose significant losses for existing manufacturers, both in product knowledge and process methodology, entails the overwhelming need to analyze and evaluate other structural alternatives without assuming relevant modifications on the products manufactured currently allowing them to adapt to the new safety requirements. Recent developments in cost-benefit processes for the production of metallic foams of low density, such as metal foams, place them as an alternative of special interest to be used as energy absorbers to strengthen structures. The filling with metal foams can be more efficient in terms of weight optimization compared with increasing thickness of the structural beams, since the energy absorption occurs in a relatively small fraction of the beams, called plastic hinges. The application of metal filling foams in vehicle structures is beginning to be used in certain areas of passenger cars, being an innovative opportunity in structures for application in buses and coaches. According to the mentioned before, and in order to come forward with a solution, this doctoral thesis has been prepared and its objectives are: - Develop a mathematical model to simulate the rollover test, considering the influence of the occupants held with seat belts to assess their influence on energy absorption structure. - Validate the mathematical model of the structure rollover by testing representative sections of the vehicle structure and by testing a complete vehicle. - Conduct a study of the properties of metal foams as possible incorporation of energy absorbing element in the filler component of the superstructure of buses and coaches. - Elaborate a mathematical model to assess the contribution of the metal foam filling in absorbing energy for static and dynamic bending loads on the components of buses or coaches superstructure. - Conduct a static and dynamic bending test program to validate the mathematical model of contribution of metal foam filling on components of the superstructure of buses and coaches bending. - To incorporate into the mathematical model of structure rollover, the results obtained on components filled with metal foam, to evaluate the contribution to the energy absorption. - Validate the rollover model structure of the bus or coach filled with metal foam through tests of bay sections. The objectives in this thesis have been achieved successfully. The contribution calculation model with metal foam filling in the vehicle structure has revealed that the filling with metal foam is more efficient than increasing thickness of the beams, as demonstrated in the experimental validation of bay sections.

Profiling the temperature distribution in AlGaN/GaN HEMTs with nanocrystalline diamond heat spreading layers

Reduced performance in Gallium Nitride (GaN) based high electron mobility transistors (HEMTs) as a result of self-heating has been well-documented. A new approach, termed “diamond-before-gate" is shown to improve the thermal budget of the deposition process and enables large area diamond without degrading the gate metal NCD capped devices had a 20% lower channel temperature at equivalent power dissipation.

An eco-friendly way to fire retardant flexible polyurethane foam: layer-by-layer assembly of fully bio-based substances

The objective of the present study is to develop fully renewable and environmentally benign techniques for improving the fire safety of flexible polyurethane foams (PUFs). A multilayered coating made from cationic chitosan (CS) and anionic alginate (AL) was deposited on PUFs through layer-by-layer assembly. This coating system exhibits a slight influence on the thermal stability of PUF, but significantly improves the char formation during combustion. Cone calorimetry reveals that 10 CS-AL bilayers (only 5.7% of the foams weight) lead to a 66% and 11% reduction in peak heat release rate and total heat release, respectively, compared with those of the uncoated control. The notable decreased fire hazards of PUF are attributed to the CS-AL coatings being beneficial to form an insulating protective layer on the surface of burning materials that inhibits the oxygen and heat permeation and slows down the flammable gases in the vapor phase, and thereby improves the flame resistance. This water-based, environmentally benign natural coating will stimulate further efforts in improving fire safety for a variety of polymer substrates.

Graphene foam functionalized with electrodeposited nickel hydroxide for energy applications

The need of new systems for the storage and conversion of renewable energy sources is fueling the research in supercapacitors. In this work, we propose a low temperature route for the synthesis of electrodes for these supercapacitors: electrodeposition of a transition metal hydroxide–Ni(OH)2 on a graphene foam. This electrode combines the superior mechanical and electrical properties of graphene, the large specific surface area of the foam and the large pseudocapacitance of Ni(OH)2. We report a specific capacitance up to 900 F/g as well as specific power and energy comparable to active carbon electrodes. These electrodes are potential candidates for their use in energy applications.