{"title":"Identification of flow regime in a co-current upflow packed bed reactor (U-PBR) using gamma-ray densitometry (GRD)","authors":"Youssef Yatimi, Ahmed Alalou, Muthanna Al-Dahhan","doi":"10.1016/j.ces.2025.121871","DOIUrl":null,"url":null,"abstract":"Owing to their significant impact on the reaction rate, the comprehensive understanding of the hydrodynamics in any novel design of the Upflow Packed Bed Reactor (U-PBR) is essential for the optimization of its throughput. In this regard, the identification of the flow regime is of paramount importance. Therefore, in this work, we use the photon counts time-series data obtained using the non-invasive Gamma-ray densitometry (GRD) to identify, for the first time, the flow regimes and their transition velocities at two axial locations (<span><span><math><mrow is=\"true\"><mi is=\"true\">Z</mi><mo is=\"true\" stretchy=\"false\">/</mo><mi is=\"true\">D</mi><mo is=\"true\" linebreak=\"goodbreak\" linebreakstyle=\"after\">=</mo><mrow is=\"true\"><mn is=\"true\">0.8</mn><mo is=\"true\">,</mo><mn is=\"true\">1.56</mn></mrow></mrow></math></span><script type=\"math/mml\"><math><mrow is=\"true\"><mi is=\"true\">Z</mi><mo stretchy=\"false\" is=\"true\">/</mo><mi is=\"true\">D</mi><mo linebreak=\"goodbreak\" linebreakstyle=\"after\" is=\"true\">=</mo><mrow is=\"true\"><mn is=\"true\">0.8</mn><mo is=\"true\">,</mo><mn is=\"true\">1.56</mn></mrow></mrow></math></script></span>) and five radial locations (<span><span><math><mrow is=\"true\"><mi is=\"true\">r</mi><mo is=\"true\" stretchy=\"false\">/</mo><mi is=\"true\">R</mi><mo is=\"true\" linebreak=\"goodbreak\" linebreakstyle=\"after\">=</mo><mn is=\"true\">0</mn><mo is=\"true\">,</mo><mo is=\"true\">±</mo><mn is=\"true\">0.5</mn><mo is=\"true\">,</mo><mo is=\"true\">±</mo><mn is=\"true\">0.9</mn></mrow></math></span><script type=\"math/mml\"><math><mrow is=\"true\"><mi is=\"true\">r</mi><mo stretchy=\"false\" is=\"true\">/</mo><mi is=\"true\">R</mi><mo linebreak=\"goodbreak\" linebreakstyle=\"after\" is=\"true\">=</mo><mn is=\"true\">0</mn><mo is=\"true\">,</mo><mo is=\"true\">±</mo><mn is=\"true\">0.5</mn><mo is=\"true\">,</mo><mo is=\"true\">±</mo><mn is=\"true\">0.9</mn></mrow></math></script></span>) within the packed catalysts’ bed of U-PBR with a novel plenum design consisting of five deflectors. The photon counts, which were obtained for a wide range of superficial inlet gas velocities (<span><span><math><mrow is=\"true\"><mn is=\"true\">0.06</mn><mo is=\"true\" linebreak=\"badbreak\" linebreakstyle=\"after\">-</mo><mn is=\"true\">9.6</mn><mi is=\"true\">c</mi><mi is=\"true\">m</mi><mo is=\"true\" stretchy=\"false\">/</mo><mi is=\"true\">s</mi></mrow></math></span><script type=\"math/mml\"><math><mrow is=\"true\"><mn is=\"true\">0.06</mn><mo linebreak=\"badbreak\" linebreakstyle=\"after\" is=\"true\">-</mo><mn is=\"true\">9.6</mn><mi is=\"true\">c</mi><mi is=\"true\">m</mi><mo stretchy=\"false\" is=\"true\">/</mo><mi is=\"true\">s</mi></mrow></math></script></span>) and superficial inlet liquid velocities (<span><span><math><mrow is=\"true\"><mn is=\"true\">0.003</mn><mo is=\"true\" linebreak=\"badbreak\" linebreakstyle=\"after\">-</mo><mn is=\"true\">0.021</mn><mi is=\"true\">c</mi><mi is=\"true\">m</mi><mo is=\"true\" stretchy=\"false\">/</mo><mi is=\"true\">s</mi></mrow></math></span><script type=\"math/mml\"><math><mrow is=\"true\"><mn is=\"true\">0.003</mn><mo linebreak=\"badbreak\" linebreakstyle=\"after\" is=\"true\">-</mo><mn is=\"true\">0.021</mn><mi is=\"true\">c</mi><mi is=\"true\">m</mi><mo stretchy=\"false\" is=\"true\">/</mo><mi is=\"true\">s</mi></mrow></math></script></span>), were analyzed using the Kolmogorov Entropy (KE) method and the Standard Deviation method. Using these two methods, three flow regimes (bubble, pulse, and spray) as well as transient phases were identified at the center of the reactor (r/R = 0) at varying superficial inlet gas and liquid velocities depending on the axial location. At most other radial location, owing to more significant pressure drop, only two flow regimes are identified. Furthermore, the transition velocities were more distinctly identified using the KE method, compared to the standard deviation. These transition velocities were also found to vary significantly depending on the void fraction which substantially affects the liquid and gas distribution and mixing, as well as the local gas and liquid velocities.","PeriodicalId":271,"journal":{"name":"Chemical Engineering Science","volume":"141 1","pages":""},"PeriodicalIF":4.1000,"publicationDate":"2025-05-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Chemical Engineering Science","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1016/j.ces.2025.121871","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ENGINEERING, CHEMICAL","Score":null,"Total":0}
引用次数: 0
Abstract
Owing to their significant impact on the reaction rate, the comprehensive understanding of the hydrodynamics in any novel design of the Upflow Packed Bed Reactor (U-PBR) is essential for the optimization of its throughput. In this regard, the identification of the flow regime is of paramount importance. Therefore, in this work, we use the photon counts time-series data obtained using the non-invasive Gamma-ray densitometry (GRD) to identify, for the first time, the flow regimes and their transition velocities at two axial locations () and five radial locations () within the packed catalysts’ bed of U-PBR with a novel plenum design consisting of five deflectors. The photon counts, which were obtained for a wide range of superficial inlet gas velocities () and superficial inlet liquid velocities (), were analyzed using the Kolmogorov Entropy (KE) method and the Standard Deviation method. Using these two methods, three flow regimes (bubble, pulse, and spray) as well as transient phases were identified at the center of the reactor (r/R = 0) at varying superficial inlet gas and liquid velocities depending on the axial location. At most other radial location, owing to more significant pressure drop, only two flow regimes are identified. Furthermore, the transition velocities were more distinctly identified using the KE method, compared to the standard deviation. These transition velocities were also found to vary significantly depending on the void fraction which substantially affects the liquid and gas distribution and mixing, as well as the local gas and liquid velocities.
期刊介绍:
Chemical engineering enables the transformation of natural resources and energy into useful products for society. It draws on and applies natural sciences, mathematics and economics, and has developed fundamental engineering science that underpins the discipline.
Chemical Engineering Science (CES) has been publishing papers on the fundamentals of chemical engineering since 1951. CES is the platform where the most significant advances in the discipline have ever since been published. Chemical Engineering Science has accompanied and sustained chemical engineering through its development into the vibrant and broad scientific discipline it is today.