Compresibilidad y cambios térmicos en el comportamiento ondulatorio de la fluidización rápida

Fast fluidization of a two-phase gas-solid flow was modeled by a set of space-time averaged equations. The space-time average is defined and the conservation and balance equations of mass, momentum, energy and entropy with space-time averaging were obtained. These equations were systematically obtai...

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Detalhes bibliográficos
Autor: JOSE ROSARIO GUADALUPE SANCHEZ LOPEZ
Formato: tesis doctoral
Estado:Versión publicada
Fecha de publicación:2012
País:México
Recursos:Universidad Autónoma Metropolitana
Repositorio:Repositorio Institucional de la UAM Iztapalapa
Idioma:español
OAI Identifier:oai:bindani.izt.uam.mx:kh04dp84d
Acesso em linha:https://doi.org/10.24275/uami.kh04dp84d
Access Level:acceso abierto
Palavra-chave:info:eu-repo/classification/LEM/Termodinámica
info:eu-repo/classification/LEM/Chemical engineering
info:eu-repo/classification/LEM/Fluidización rápida
info:eu-repo/classification/LEM/Ingeniería química
info:eu-repo/classification/LEM/Thermodynamics
info:eu-repo/classification/LEM/Fluidization
info:eu-repo/classification/LEM/Multiphase flow -- Mathematical models
info:eu-repo/classification/LEM/Flujo multifásico -- Modelos matemáticos
info:eu-repo/classification/cti/7
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dc.title.none.fl_str_mv Compresibilidad y cambios térmicos en el comportamiento ondulatorio de la fluidización rápida
title Compresibilidad y cambios térmicos en el comportamiento ondulatorio de la fluidización rápida
spellingShingle Compresibilidad y cambios térmicos en el comportamiento ondulatorio de la fluidización rápida
JOSE ROSARIO GUADALUPE SANCHEZ LOPEZ
info:eu-repo/classification/LEM/Termodinámica
info:eu-repo/classification/LEM/Chemical engineering
info:eu-repo/classification/LEM/Fluidización rápida
info:eu-repo/classification/LEM/Ingeniería química
info:eu-repo/classification/LEM/Thermodynamics
info:eu-repo/classification/LEM/Fluidization
info:eu-repo/classification/LEM/Multiphase flow -- Mathematical models
info:eu-repo/classification/LEM/Flujo multifásico -- Modelos matemáticos
info:eu-repo/classification/cti/7
title_short Compresibilidad y cambios térmicos en el comportamiento ondulatorio de la fluidización rápida
title_full Compresibilidad y cambios térmicos en el comportamiento ondulatorio de la fluidización rápida
title_fullStr Compresibilidad y cambios térmicos en el comportamiento ondulatorio de la fluidización rápida
title_full_unstemmed Compresibilidad y cambios térmicos en el comportamiento ondulatorio de la fluidización rápida
title_sort Compresibilidad y cambios térmicos en el comportamiento ondulatorio de la fluidización rápida
dc.creator.none.fl_str_mv JOSE ROSARIO GUADALUPE SANCHEZ LOPEZ
author JOSE ROSARIO GUADALUPE SANCHEZ LOPEZ
author_facet JOSE ROSARIO GUADALUPE SANCHEZ LOPEZ
author_role author
dc.contributor.none.fl_str_mv ROSALIO FERNANDO RODRIGUEZ ZEPEDA
ALBERTO SORIA LOPEZ
dc.subject.none.fl_str_mv info:eu-repo/classification/LEM/Termodinámica
info:eu-repo/classification/LEM/Chemical engineering
info:eu-repo/classification/LEM/Fluidización rápida
info:eu-repo/classification/LEM/Ingeniería química
info:eu-repo/classification/LEM/Thermodynamics
info:eu-repo/classification/LEM/Fluidization
info:eu-repo/classification/LEM/Multiphase flow -- Mathematical models
info:eu-repo/classification/LEM/Flujo multifásico -- Modelos matemáticos
info:eu-repo/classification/cti/7
topic info:eu-repo/classification/LEM/Termodinámica
info:eu-repo/classification/LEM/Chemical engineering
info:eu-repo/classification/LEM/Fluidización rápida
info:eu-repo/classification/LEM/Ingeniería química
info:eu-repo/classification/LEM/Thermodynamics
info:eu-repo/classification/LEM/Fluidization
info:eu-repo/classification/LEM/Multiphase flow -- Mathematical models
info:eu-repo/classification/LEM/Flujo multifásico -- Modelos matemáticos
info:eu-repo/classification/cti/7
description Fast fluidization of a two-phase gas-solid flow was modeled by a set of space-time averaged equations. The space-time average is defined and the conservation and balance equations of mass, momentum, energy and entropy with space-time averaging were obtained. These equations were systematically obtained from the corresponding local-instantaneous equations. Space-time averaging contains volume averaging and time averaging as asymptotic cases. The conditions under which this occurs is demonstrated and discussed. The entropy balance is studied and when the second law of thermodynamics is applied, constraints on the source terms resulting from averaging were found which require closure. These restrictions provide a criterion to deduce positive definite quadratic forms that satisfy the second law of thermodynamics. The space-time averaging approach allows obtaining a state equation in which first or higher order corrections on state variables deviations are incorporated. This is a substantial difference between the space-time averaging of multiphase systems and the extended kinetic theory approach to granular media of Gidaspow (1994). Nevertheless, in this first study this correction is not considered and the ideal gas state equation was used to represent the gas phase compressibility, whereas the solid phase was assumed incompressible. The incompressibility hypothesis in fluidized beds models is evaluated by comparing the incompressible and compressible 1-D models. All compressible terms appear multiplied by the squared sound propagation speed, s. In both proposed models, the incompressible part was retrieved in the limit s  . Liu’s (1982) linear stability analysis was extended to estimate the compressibility contribution. A criterion based on the propagation speeds and the wave number was developed. This method was applied to two physical systems whose solid properties differ widely: FCC cata catalyst-water vapor and CFB sand-air. Two third-order propagation speeds were identified with pressure wave propagation. All the fourth-order model eigenvalues coincide with the fourth-order propagation speeds. It was shown that the effect of the fluid compressibility is as important as the effect of the solid compressibility modulus. The second-order wave is incomplete, since there is only one wave operator acting in a space derivative. It is shown that when wall friction is considered, a propagation mode associated to the wall is included. This completes the second-order wave, passing from parabolic to hyperbolic. The wall dynamics is separated from the tube core thus resulting in a generalized Liu’s criterion. In addition, it is shown how the wall enhances the stability region based on the wave number criterion. A non-isothermal model was developed which closure is in agreement with the second law of thermodynamics assuming that the interfacial effects overcome the volumetric ones. In this model we separate the terms associated to both considered effects: compressibility and thermicity. All thermal-associated terms appear multiplied by the volumetric expansion coefficient, V . The isothermal model is retrieved by the limit, 0 V  . It was continued with FCC and CFB systems, but with its non-isothermal extension at the level of the coefficients finding how thermal effects module the isothermal coefficients. It was demonstrated that the void fraction, pressure and gas temperature are governed by the same fifth order wave operator, since the solid temperature is governed by the fifth wave operator acting in a first order wave of the solid particles temperature. Finally, the adiabatic wall effect is incorporated and it was shown how this model is the most general and allows studying an eight cases set. These cases are given by the combination of the effects: incompressibility, compressibility, thermal effects and tube wall. The methodology designed in this work allows studying the impact of each effect over the dynamic and the stability, as well as in the modeling strategies.
publishDate 2012
dc.date.none.fl_str_mv 2012-07-25
dc.type.none.fl_str_mv info:eu-repo/semantics/doctoralThesis
info:eu-repo/semantics/publishedVersion
format doctoralThesis
status_str publishedVersion
dc.identifier.none.fl_str_mv https://doi.org/10.24275/uami.kh04dp84d
url https://doi.org/10.24275/uami.kh04dp84d
dc.language.none.fl_str_mv spa
language spa
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
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eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-nd/4.0
dc.source.none.fl_str_mv reponame:Repositorio Institucional de la UAM Iztapalapa
instname:Universidad Autónoma Metropolitana
instacron:UAM
instname_str Universidad Autónoma Metropolitana
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reponame_str Repositorio Institucional de la UAM Iztapalapa
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spelling Compresibilidad y cambios térmicos en el comportamiento ondulatorio de la fluidización rápidaJOSE ROSARIO GUADALUPE SANCHEZ LOPEZinfo:eu-repo/classification/LEM/Termodinámicainfo:eu-repo/classification/LEM/Chemical engineeringinfo:eu-repo/classification/LEM/Fluidización rápidainfo:eu-repo/classification/LEM/Ingeniería químicainfo:eu-repo/classification/LEM/Thermodynamicsinfo:eu-repo/classification/LEM/Fluidizationinfo:eu-repo/classification/LEM/Multiphase flow -- Mathematical modelsinfo:eu-repo/classification/LEM/Flujo multifásico -- Modelos matemáticosinfo:eu-repo/classification/cti/7Fast fluidization of a two-phase gas-solid flow was modeled by a set of space-time averaged equations. The space-time average is defined and the conservation and balance equations of mass, momentum, energy and entropy with space-time averaging were obtained. These equations were systematically obtained from the corresponding local-instantaneous equations. Space-time averaging contains volume averaging and time averaging as asymptotic cases. The conditions under which this occurs is demonstrated and discussed. The entropy balance is studied and when the second law of thermodynamics is applied, constraints on the source terms resulting from averaging were found which require closure. These restrictions provide a criterion to deduce positive definite quadratic forms that satisfy the second law of thermodynamics. The space-time averaging approach allows obtaining a state equation in which first or higher order corrections on state variables deviations are incorporated. This is a substantial difference between the space-time averaging of multiphase systems and the extended kinetic theory approach to granular media of Gidaspow (1994). Nevertheless, in this first study this correction is not considered and the ideal gas state equation was used to represent the gas phase compressibility, whereas the solid phase was assumed incompressible. The incompressibility hypothesis in fluidized beds models is evaluated by comparing the incompressible and compressible 1-D models. All compressible terms appear multiplied by the squared sound propagation speed, s. In both proposed models, the incompressible part was retrieved in the limit s  . Liu’s (1982) linear stability analysis was extended to estimate the compressibility contribution. A criterion based on the propagation speeds and the wave number was developed. This method was applied to two physical systems whose solid properties differ widely: FCC cata catalyst-water vapor and CFB sand-air. Two third-order propagation speeds were identified with pressure wave propagation. All the fourth-order model eigenvalues coincide with the fourth-order propagation speeds. It was shown that the effect of the fluid compressibility is as important as the effect of the solid compressibility modulus. The second-order wave is incomplete, since there is only one wave operator acting in a space derivative. It is shown that when wall friction is considered, a propagation mode associated to the wall is included. This completes the second-order wave, passing from parabolic to hyperbolic. The wall dynamics is separated from the tube core thus resulting in a generalized Liu’s criterion. In addition, it is shown how the wall enhances the stability region based on the wave number criterion. A non-isothermal model was developed which closure is in agreement with the second law of thermodynamics assuming that the interfacial effects overcome the volumetric ones. In this model we separate the terms associated to both considered effects: compressibility and thermicity. All thermal-associated terms appear multiplied by the volumetric expansion coefficient, V . The isothermal model is retrieved by the limit, 0 V  . It was continued with FCC and CFB systems, but with its non-isothermal extension at the level of the coefficients finding how thermal effects module the isothermal coefficients. It was demonstrated that the void fraction, pressure and gas temperature are governed by the same fifth order wave operator, since the solid temperature is governed by the fifth wave operator acting in a first order wave of the solid particles temperature. Finally, the adiabatic wall effect is incorporated and it was shown how this model is the most general and allows studying an eight cases set. These cases are given by the combination of the effects: incompressibility, compressibility, thermal effects and tube wall. The methodology designed in this work allows studying the impact of each effect over the dynamic and the stability, as well as in the modeling strategies.Se modela un flujo de dos fases gas-sólido en el régimen de fluidización rápida mediante un conjunto de ecuaciones con promedio espacio-temporal. Se define el promedio espacio-temporal y se obtienen las ecuaciones de conservación y de balance, de masa, de cantidad de movimiento, de energía y de entropía con promedio espacio-temporal. Estas ecuaciones se obtuvieron sistemáticamente a partir de sus correspondientes ecuaciones locales instantáneas. El promedio espacio-temporal contiene al promedio volumétrico y al promedio temporal como casos asintóticos. Se demuestran y discuten las condiciones bajo las cuales se obtienen los casos asintóticos del promedio espacio-temporal. Se estudia el balance de entropía y al aplicar la segunda ley de la termodinámica se obtienen restricciones sobre los términos fuente generados al promediar y que requieren de cerradura. Estas restricciones sirven como criterio para deducir formas cuadráticas positivas definidas, que cumplan con la segunda ley de la termodinámica. El enfoque del promedio espacio-temporal permite obtener una ecuación de estado en donde se incorporan correcciones a primer orden o a órdenes más elevados en las desviaciones de las variables de estado. Esta es una diferencia sustantiva entre la descripción con promedios espacio-temporales de sistemas multifásicos y la descripción en términos de la teoría cinética extendida a medios granulares que aplica Gidaspow (1994). No obstante, en este primer estudio no se consideraron y se utilizó la ecuación de estado del gas ideal para representar la compresibilidad de la fase gaseosa, mientras que a la fase sólida se le consideró incompresible. Se evalúa la hipótesis de incompresibilidad en los modelos de lechos fluidizados mediante la comparación de los modelos (1-D) incompresible y compresible. Todos los términos compresibles aparecen multiplicados por la velocidad de propagación Se modela un flujo de dos fases gas-sólido en el régimen de fluidización rápida mediante un conjunto de ecuaciones con promedio espacio-temporal. Se define el promedio espacio-temporal y se obtienen las ecuaciones de conservación y de balance, de masa, de cantidad de movimiento, de energía y de entropía con promedio espacio-temporal. Estas ecuaciones se obtuvieron sistemáticamente a partir de sus correspondientes ecuaciones locales instantáneas. El promedio espacio-temporal contiene al promedio volumétrico y al promedio temporal como casos asintóticos. Se demuestran y discuten las condiciones bajo las cuales se obtienen los casos asintóticos del promedio espacio-temporal. Se estudia el balance de entropía y al aplicar la segunda ley de la termodinámica se obtienen restricciones sobre los términos fuente generados al promediar y que requieren de cerradura. Estas restricciones sirven como criterio para deducir formas cuadráticas positivas definidas, que cumplan con la segunda ley de la termodinámica. El enfoque del promedio espacio-temporal permite obtener una ecuación de estado en donde se incorporan correcciones a primer orden o a órdenes más elevados en las desviaciones de las variables de estado. Esta es una diferencia sustantiva entre la descripción con promedios espacio-temporales de sistemas multifásicos y la descripción en términos de la teoría cinética extendida a medios granulares que aplica Gidaspow (1994). No obstante, en este primer estudio no se consideraron y se utilizó la ecuación de estado del gas ideal para representar la compresibilidad de la fase gaseosa, mientras que a la fase sólida se le consideró incompresible. Se evalúa la hipótesis de incompresibilidad en los modelos de lechos fluidizados mediante la comparación de los modelos (1-D) incompresible y compresible. Todos los términos compresibles aparecen multiplicados por la velocidad de propagación pero con su extensión no-isotérmica a nivel de los coeficientes, encontrando cómo los efectos térmicos modulan a los coeficientes isotérmicos. Se ha demostrado que al considerar los efectos térmicos, un operador ondulatorio de quinto orden gobierna las perturbaciones de fracción volumen, de presión y de temperatura del gas. Mientras que en el caso de la temperatura del sólido, es el operador de quinto orden actuando en una onda de primer orden de la temperatura de las partículas sólidas. Finalmente, se incorpora el efecto de la pared adiabática y se analiza cómo este modelo es el más general y permite estudiar un conjunto de ocho casos que están dados por la combinación de los efectos: compresibilidad, termicidad y pared del tubo. La metodología diseñada en este trabajo permite estudiar el impacto que tiene cada efecto en la dinámica y en la estabilidad, así como en las estrategias de modelado.ROSALIO FERNANDO RODRIGUEZ ZEPEDAALBERTO SORIA LOPEZ2012-07-25info:eu-repo/semantics/doctoralThesisinfo:eu-repo/semantics/publishedVersionhttps://doi.org/10.24275/uami.kh04dp84dreponame:Repositorio Institucional de la UAM Iztapalapainstname:Universidad Autónoma Metropolitanainstacron:UAMspainfo:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-nd/4.0oai:bindani.izt.uam.mx:kh04dp84d2025-11-26T19:22:11Z
score 15,812429

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