Bulk-Density Distributions of Solids in the Freeboard of a Gas-Solid Fluidized Bed
The freeboard region above the bubbling zone of a gas-solid fluidized bed provides the space not only for the disengagement of particles but also for additional contact and reaction between the particles and gas. The flow pattern and behavior of particles as well as their bulk-density distribution i...
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| Veröffentlicht in: | Industrial & engineering chemistry research 1995-05, Vol.34 (5), p.1919-1925 |
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| container_end_page | 1925 |
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| container_issue | 5 |
| container_start_page | 1919 |
| container_title | Industrial & engineering chemistry research |
| container_volume | 34 |
| creator | Shen, Bao-Chun Fan, L. T Walawender, Walter P |
| description | The freeboard region above the bubbling zone of a gas-solid fluidized bed provides the space not only for the disengagement of particles but also for additional contact and reaction between the particles and gas. The flow pattern and behavior of particles as well as their bulk-density distribution in the freeboard have a significant impact on the efficiency of fluidization. The results of numerous previous experimental studies indicate that the bulk density of solids essentially decreases exponentially as a function of the height of the freeboard. In the present work, this distribution has been obtained by first derived the Fokker-Planck equation from the linearized equation of motion of a single particle and then transforming this Fokker-Planck equation into that for the bulk-density distribution of solids. Its simplification to the one-dimensional case readily gives rise to an exponential distribution and agrees well with the available experimental data. |
| doi_str_mv | 10.1021/ie00044a045 |
| format | Article |
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T ; Walawender, Walter P</creator><creatorcontrib>Shen, Bao-Chun ; Fan, L. T ; Walawender, Walter P</creatorcontrib><description>The freeboard region above the bubbling zone of a gas-solid fluidized bed provides the space not only for the disengagement of particles but also for additional contact and reaction between the particles and gas. The flow pattern and behavior of particles as well as their bulk-density distribution in the freeboard have a significant impact on the efficiency of fluidization. The results of numerous previous experimental studies indicate that the bulk density of solids essentially decreases exponentially as a function of the height of the freeboard. In the present work, this distribution has been obtained by first derived the Fokker-Planck equation from the linearized equation of motion of a single particle and then transforming this Fokker-Planck equation into that for the bulk-density distribution of solids. Its simplification to the one-dimensional case readily gives rise to an exponential distribution and agrees well with the available experimental data.</description><identifier>ISSN: 0888-5885</identifier><identifier>EISSN: 1520-5045</identifier><identifier>DOI: 10.1021/ie00044a045</identifier><identifier>CODEN: IECRED</identifier><language>eng</language><publisher>Washington, DC: American Chemical Society</publisher><subject>Applied sciences ; BULK DENSITY ; Chemical engineering ; ENGINEERING NOT INCLUDED IN OTHER CATEGORIES ; EQUATIONS OF MOTION ; Exact sciences and technology ; FLOW MODELS ; FLUID MECHANICS ; Fluidization ; FLUIDIZED BEDS ; GAS FLOW ; PARTICULATES ; SOLIDS FLOW ; SPATIAL DISTRIBUTION</subject><ispartof>Industrial & engineering chemistry research, 1995-05, Vol.34 (5), p.1919-1925</ispartof><rights>1995 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-a356t-c3d31d9e3740c993087e48bcab821ac696fbab8c7e4323f21d314c7fab32b8e13</citedby></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://pubs.acs.org/doi/pdf/10.1021/ie00044a045$$EPDF$$P50$$Gacs$$H</linktopdf><linktohtml>$$Uhttps://pubs.acs.org/doi/10.1021/ie00044a045$$EHTML$$P50$$Gacs$$H</linktohtml><link.rule.ids>314,780,784,885,2765,27076,27924,27925,56738,56788</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=3501040$$DView record in Pascal Francis$$Hfree_for_read</backlink><backlink>$$Uhttps://www.osti.gov/biblio/178435$$D View this record in Osti.gov$$Hfree_for_read</backlink></links><search><creatorcontrib>Shen, Bao-Chun</creatorcontrib><creatorcontrib>Fan, L. T</creatorcontrib><creatorcontrib>Walawender, Walter P</creatorcontrib><title>Bulk-Density Distributions of Solids in the Freeboard of a Gas-Solid Fluidized Bed</title><title>Industrial & engineering chemistry research</title><addtitle>Ind. Eng. Chem. Res</addtitle><description>The freeboard region above the bubbling zone of a gas-solid fluidized bed provides the space not only for the disengagement of particles but also for additional contact and reaction between the particles and gas. The flow pattern and behavior of particles as well as their bulk-density distribution in the freeboard have a significant impact on the efficiency of fluidization. The results of numerous previous experimental studies indicate that the bulk density of solids essentially decreases exponentially as a function of the height of the freeboard. In the present work, this distribution has been obtained by first derived the Fokker-Planck equation from the linearized equation of motion of a single particle and then transforming this Fokker-Planck equation into that for the bulk-density distribution of solids. Its simplification to the one-dimensional case readily gives rise to an exponential distribution and agrees well with the available experimental data.</description><subject>Applied sciences</subject><subject>BULK DENSITY</subject><subject>Chemical engineering</subject><subject>ENGINEERING NOT INCLUDED IN OTHER CATEGORIES</subject><subject>EQUATIONS OF MOTION</subject><subject>Exact sciences and technology</subject><subject>FLOW MODELS</subject><subject>FLUID MECHANICS</subject><subject>Fluidization</subject><subject>FLUIDIZED BEDS</subject><subject>GAS FLOW</subject><subject>PARTICULATES</subject><subject>SOLIDS FLOW</subject><subject>SPATIAL DISTRIBUTION</subject><issn>0888-5885</issn><issn>1520-5045</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1995</creationdate><recordtype>article</recordtype><recordid>eNpt0EFLwzAUB_AgCs7pyS8QQfAg1aRJ2vToNjeFirLNc0jTlGWr7UhScH56MyvDg6c88n7v8fgDcInRHUYxvjcaIUSpRJQdgQFmMYpYqI_BAHHOI8Y5OwVnzq0DY4zSAZiPunoTTXTjjN_BiXHemqLzpm0cbCu4aGtTOmga6FcaTq3WRSttuW9JOJMu-gFwWnemNF-6hCNdnoOTStZOX_y-Q_A-fVyOn6L8dfY8fsgjSVjiI0VKgstMk5QilWUE8VRTXihZ8BhLlWRJVYRahV8SkyrGgVOVVrIgccE1JkNw1e9tnTfCKeO1Wqm2abTyAqecEhbMbW-UbZ2zuhJbaz6k3QmMxD4y8SeyoK97vZVOybqyslHGHUYIQxhRFFjUs5CW_jy0pd2IJCUpE8u3hcjwPH_Jl3NBgr_pvVROrNvONiGWfw_4Bry8hZI</recordid><startdate>19950501</startdate><enddate>19950501</enddate><creator>Shen, Bao-Chun</creator><creator>Fan, L. 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T ; Walawender, Walter P</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a356t-c3d31d9e3740c993087e48bcab821ac696fbab8c7e4323f21d314c7fab32b8e13</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1995</creationdate><topic>Applied sciences</topic><topic>BULK DENSITY</topic><topic>Chemical engineering</topic><topic>ENGINEERING NOT INCLUDED IN OTHER CATEGORIES</topic><topic>EQUATIONS OF MOTION</topic><topic>Exact sciences and technology</topic><topic>FLOW MODELS</topic><topic>FLUID MECHANICS</topic><topic>Fluidization</topic><topic>FLUIDIZED BEDS</topic><topic>GAS FLOW</topic><topic>PARTICULATES</topic><topic>SOLIDS FLOW</topic><topic>SPATIAL DISTRIBUTION</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Shen, Bao-Chun</creatorcontrib><creatorcontrib>Fan, L. T</creatorcontrib><creatorcontrib>Walawender, Walter P</creatorcontrib><collection>Istex</collection><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>OSTI.GOV</collection><jtitle>Industrial & engineering chemistry research</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Shen, Bao-Chun</au><au>Fan, L. T</au><au>Walawender, Walter P</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Bulk-Density Distributions of Solids in the Freeboard of a Gas-Solid Fluidized Bed</atitle><jtitle>Industrial & engineering chemistry research</jtitle><addtitle>Ind. Eng. Chem. Res</addtitle><date>1995-05-01</date><risdate>1995</risdate><volume>34</volume><issue>5</issue><spage>1919</spage><epage>1925</epage><pages>1919-1925</pages><issn>0888-5885</issn><eissn>1520-5045</eissn><coden>IECRED</coden><abstract>The freeboard region above the bubbling zone of a gas-solid fluidized bed provides the space not only for the disengagement of particles but also for additional contact and reaction between the particles and gas. The flow pattern and behavior of particles as well as their bulk-density distribution in the freeboard have a significant impact on the efficiency of fluidization. The results of numerous previous experimental studies indicate that the bulk density of solids essentially decreases exponentially as a function of the height of the freeboard. In the present work, this distribution has been obtained by first derived the Fokker-Planck equation from the linearized equation of motion of a single particle and then transforming this Fokker-Planck equation into that for the bulk-density distribution of solids. Its simplification to the one-dimensional case readily gives rise to an exponential distribution and agrees well with the available experimental data.</abstract><cop>Washington, DC</cop><pub>American Chemical Society</pub><doi>10.1021/ie00044a045</doi><tpages>7</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0888-5885 |
| ispartof | Industrial & engineering chemistry research, 1995-05, Vol.34 (5), p.1919-1925 |
| issn | 0888-5885 1520-5045 |
| language | eng |
| recordid | cdi_crossref_primary_10_1021_ie00044a045 |
| source | American Chemical Society Journals |
| subjects | Applied sciences BULK DENSITY Chemical engineering ENGINEERING NOT INCLUDED IN OTHER CATEGORIES EQUATIONS OF MOTION Exact sciences and technology FLOW MODELS FLUID MECHANICS Fluidization FLUIDIZED BEDS GAS FLOW PARTICULATES SOLIDS FLOW SPATIAL DISTRIBUTION |
| title | Bulk-Density Distributions of Solids in the Freeboard of a Gas-Solid Fluidized Bed |
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