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.