Flow pattern effect on the pressure drop of biphasic flow through porous media from a fractal dimension perspective

Flow pattern effect on the pressure drop of biphasic flow through porous media from a fractal dimension perspective

The description of the behavior of a biphasic flow through porous beds by means of models based on the equations of transport phenomena is made difficult due to the geometric irregularity of the channels that are formed between the solid particles that make up the bed. Deterministic models developed...

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Main Authors: Suárez-Domínguez, Edgardo Jonathan, Palacio-Pérez, Arturo, Pérez-Sánchez, Josúe Francisco, Izquierdo-Kulich, Elena
Format: Online
Language:spa
Published: Universidad Autónoma de Tamaulipas 2020
Online Access:https://revistaciencia.uat.edu.mx/index.php/CienciaUAT/article/view/1308
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institution CIENCIA UAT
collection OJS
language spa
format Online
author Suárez-Domínguez, Edgardo Jonathan
Palacio-Pérez, Arturo
Pérez-Sánchez, Josúe Francisco
Izquierdo-Kulich, Elena
spellingShingle Suárez-Domínguez, Edgardo Jonathan
Palacio-Pérez, Arturo
Pérez-Sánchez, Josúe Francisco
Izquierdo-Kulich, Elena
Flow pattern effect on the pressure drop of biphasic flow through porous media from a fractal dimension perspective
author_facet Suárez-Domínguez, Edgardo Jonathan
Palacio-Pérez, Arturo
Pérez-Sánchez, Josúe Francisco
Izquierdo-Kulich, Elena
author_sort Suárez-Domínguez, Edgardo Jonathan
title Flow pattern effect on the pressure drop of biphasic flow through porous media from a fractal dimension perspective
title_short Flow pattern effect on the pressure drop of biphasic flow through porous media from a fractal dimension perspective
title_full Flow pattern effect on the pressure drop of biphasic flow through porous media from a fractal dimension perspective
title_fullStr Flow pattern effect on the pressure drop of biphasic flow through porous media from a fractal dimension perspective
title_full_unstemmed Flow pattern effect on the pressure drop of biphasic flow through porous media from a fractal dimension perspective
title_sort flow pattern effect on the pressure drop of biphasic flow through porous media from a fractal dimension perspective
description The description of the behavior of a biphasic flow through porous beds by means of models based on the equations of transport phenomena is made difficult due to the geometric irregularity of the channels that are formed between the solid particles that make up the bed. Deterministic models developed for single-phase flows require the adjustment of empirical constants and cannot be extrapolated to biphasic flows, where the flow pattern generated in the system significantly influences the behavior of the total flow and the frictional pressure losses. Therefore, in this paper, we present a model to describe the behavior of the biphasic flow in relation to the flow pattern and the morphology, dimensions, and operating conditions of the porous bed, whose obtainment was based on a hierarchy that used the equations for conservation of momentum, fractal geometry and fractional differential calculus jointly. The model predicts that, for the same composition of the biphasic flow, the flow pattern significantly influences friction pressure losses, with an increase when one of the phases is dispersed within the other. On the other hand, the increase in the fractal dimension of the pores, in turn, causes an increase in pressure loss due to friction. The model has limitations associated with the considerations established during its collection, since it is only valid when the effects of surface tension are more significant than the gravitational effects, the effects of the latter being disregarded on the flow pattern, as well as for the stationary state.
publisher Universidad Autónoma de Tamaulipas
publishDate 2020
url https://revistaciencia.uat.edu.mx/index.php/CienciaUAT/article/view/1308
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spelling oai:ojs.pkp.sfu.ca:article-13082020-07-31T23:34:40Z Flow pattern effect on the pressure drop of biphasic flow through porous media from a fractal dimension perspective Efecto del patrón de flujo sobre las pérdidas de presión para flujo bifásico a través de lechos porosos bajo perspectiva fractal Suárez-Domínguez, Edgardo Jonathan Palacio-Pérez, Arturo Pérez-Sánchez, Josúe Francisco Izquierdo-Kulich, Elena fractal reservoir porous bed complex flow fractional equation of transport pressure drop prediction reservorio fractal lecho poroso flujo complejo ecuación fraccional de transporte predicción de caída de presión The description of the behavior of a biphasic flow through porous beds by means of models based on the equations of transport phenomena is made difficult due to the geometric irregularity of the channels that are formed between the solid particles that make up the bed. Deterministic models developed for single-phase flows require the adjustment of empirical constants and cannot be extrapolated to biphasic flows, where the flow pattern generated in the system significantly influences the behavior of the total flow and the frictional pressure losses. Therefore, in this paper, we present a model to describe the behavior of the biphasic flow in relation to the flow pattern and the morphology, dimensions, and operating conditions of the porous bed, whose obtainment was based on a hierarchy that used the equations for conservation of momentum, fractal geometry and fractional differential calculus jointly. The model predicts that, for the same composition of the biphasic flow, the flow pattern significantly influences friction pressure losses, with an increase when one of the phases is dispersed within the other. On the other hand, the increase in the fractal dimension of the pores, in turn, causes an increase in pressure loss due to friction. The model has limitations associated with the considerations established during its collection, since it is only valid when the effects of surface tension are more significant than the gravitational effects, the effects of the latter being disregarded on the flow pattern, as well as for the stationary state. La descripción del comportamiento de un flujo bifásico, a través de lechos porosos, por medio de modelos, basados en las ecuaciones de fenómenos de transporte, se dificulta debido a la irregularidad geométrica de los canales que se forman entre las partículas sólidas que constituyen el lecho. Los modelos deterministas desarrollados para flujos monofásicos requieren del ajuste de constantes empíricas y no pueden extrapolarse a flujos bifásicos, donde el patrón de flujo generado en el sistema influye significativamente sobre el comportamiento del flujo total y las pérdidas de presión por fricción. Por lo anterior, en este trabajo se presenta un modelo para describir el comportamiento del flujo bifásico en función del patrón de flujo y de la morfología, las dimensiones y las condiciones de operación del lecho poroso, cuya obtención se basó en un formalismo, empleando conjuntamente las ecuaciones de conservación de la cantidad de movimiento, la geometría fractal y el cálculo diferencial fraccional. El modelo predice que, para una misma composición del flujo bifásico, el patrón de flujo influye significativamente sobre las pérdidas de presión por fricción, habiendo un incremento cuando una de las fases se encuentra dispersa en el seno de la otra. Por otro lado, el incremento de la dimensión fractal de los poros causa a su vez un incremento de las pérdidas de presión por fricción. El modelo presenta limitaciones asociadas a las consideraciones establecidas durante su obtención, de tal manera que sólo es válido cuando los efectos de la tensión superficial son más significativos que los gravitatorios, despreciándose los efectos de esos últimos sobre el patrón de flujo, así como para el estado estacionario. Universidad Autónoma de Tamaulipas 2020-01-31 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion application/pdf text/html text/xml https://revistaciencia.uat.edu.mx/index.php/CienciaUAT/article/view/1308 10.29059/cienciauat.v14i2.1308 CienciaUAT; Vol 14 No. 2. January-June 2020; 146-159 CienciaUAT; Vol. 14 No. 2: Enero-Junio 2020; 146-159 2007-7858 2007-7521 spa https://revistaciencia.uat.edu.mx/index.php/CienciaUAT/article/view/1308/681 https://revistaciencia.uat.edu.mx/index.php/CienciaUAT/article/view/1308/709 https://revistaciencia.uat.edu.mx/index.php/CienciaUAT/article/view/1308/775 Derechos de autor 2020 CienciaUAT

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