Article(id=1314907771162682107, tenantId=1146029695717560320, journalId=1235980550691926019, issueId=1314907656704324517, articleNumber=null, orderNo=null, doi=10.3969/j.issn.0253-6099.2026.01.016, pmid=null, cstr=null, oa=null, hot=null, price=null, onlineType=0, articleFormat=0, articleType=null, articleTypeStr=null, receivedDate=1755619200000, receivedDateStr=2025-08-20, revisedDate=null, revisedDateStr=null, acceptedDate=null, acceptedDateStr=null, onlineDate=1791428042449, onlineDateStr=2026-10-08, pubDate=null, pubDateStr=null, doiRegisterDate=null, doiRegisterDateStr=null, onlineIssueDate=1791428042449, onlineIssueDateStr=2026-10-08, onlineJustAcceptDate=null, onlineJustAcceptDateStr=null, onlineFirstDate=null, onlineFirstDateStr=null, sourceXml=null, magXml=null, createTime=1791428042449, creator=13701087609, updateTime=1791428042449, updator=13701087609, issue=Issue{id=1314907656704324517, tenantId=1146029695717560320, journalId=1235980550691926019, year='2026', volume='46', issue='1', pageStart='1', pageEnd='206', issueExtLink='null', onlineDate='null', pubDate='1769875200000', pubDateStr='2026-02-01', beforeIssueId=null, nextIssueId=null, price=null, status=1, issueComplete=1, articleOrder=1, issueType=-1, specialIssue=null, createTime=1791428015160, creator='13701087609', updateTime=1791430491940, updator='13701087609', preIssue=null, nextIssue=null, articleTotal=null, ext={EN=IssueExt(id=1314918045139690301, tenantId=1146029695717560320, journalId=1235980550691926019, issueId=1314907656704324517, language=EN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=), CN=IssueExt(id=1314918045139690302, tenantId=1146029695717560320, journalId=1235980550691926019, issueId=1314907656704324517, language=CN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=)}, issueFiles=null, downloadFileDto=null}, startPage=97, endPage=101, ext={EN=ArticleExt(id=1314907771485643516, articleId=1314907771162682107, tenantId=1146029695717560320, journalId=1235980550691926019, language=EN, title=Model for Flotation Kinetic Constant and Particle Residence Time of Phosphate Ore in a Flotation Column, columnId=1236276106932842717, journalTitle=Mining and Metallurgical Engineering, columnName=MINERAL PROCESSING, runingTitle=null, highlight=null, articleAbstract=

Medium and low grade phosphate ores were floated in a packed flotation column, and the phosphate recovery after different floatation time were measured, which were then fitted with four classical kinetic models respectively. Results show that the first-order kinetic model is more suitable to describe and predict the flotation process. The particle residence time in the flotation process of phosphate ore measured in the experiment was correlated to the flotation kinetic constant, and a mathematical model was derived for the average residence time and flotation kinetic constant. With this model, the appropriate average particle residence time is calculated to be 201.87 s and the corresponding flotation kinetic constant is 0.114 81.

, authors=Zhangjie SHI1, Wenyan HUANG1, Fuli DENG1, Bingwen LONG1, Yigang DING1, Yi ZHANG1, 2, authorsList=Zhangjie SHI, Wenyan HUANG, Fuli DENG, Bingwen LONG, Yigang DING, Yi ZHANG, authorCompany=null, correspAuthors=Yi ZHANG, authorNote=null, correspAuthorsNote=null, copyrightStatement=null, copyrightOwner=null, extLink=null, articleAbsUrl=null, sourceXml=null, magXml=null, pdfUrl=null, pdf=null, pdfFileSize=null, pdfExtLink=null, richHtmlUrl=null, mobilePdfUrl=null, reviewReport=null, pdfFirstPage=null, abstractGraph=null, abstractGraphContent=null, abstractVideo=null, citation=null, cebUrl=null, magXmlContent=null, mapNumber=null, fund=null), CN=ArticleExt(id=1314907774107083517, articleId=1314907771162682107, tenantId=1146029695717560320, journalId=1235980550691926019, language=CN, title=磷矿柱式浮选中浮选动力学常数与颗粒停留时间的模型研究, columnId=1236276107125780707, journalTitle=矿冶工程杂志, columnName=选矿, runingTitle=null, highlight=null, articleAbstract=

通过测定充填式浮选柱浮选中低品位磷矿过程中不同浮选时间的回收率,分别采用4种经典动力学模型对其进行拟合,结果表明,一级动力学模型更适合描述和预测该浮选过程。测定磷矿浮选过程中颗粒停留时间,并将实验数据与浮选动力学常数表达式进行关联,推导出颗粒平均停留时间与浮选动力学常数的数学模型,求得适宜的颗粒停留时间为201.87 s,对应的浮选动力学常数为0.114 81。

, authors=施章杰1, 黄文彦1, 邓伏礼1, 龙秉文1, 丁一刚1, 张逸1, 2, authorsList=施章杰, 黄文彦, 邓伏礼, 龙秉文, 丁一刚, 张逸, authorCompany=null, correspAuthors=张逸, authorNote=

施章杰(2000—),男,湖北黄石人,硕士研究生,主要研究方向为矿物的浮选。E-mail:

, correspAuthorsNote=
张逸(1986—),男,湖北武汉人,副教授,主要从事磷矿浮选、磷氟资源利用、稀土分离等方面的研究。E-mail:
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施章杰(2000—),男,湖北黄石人,硕士研究生,主要研究方向为矿物的浮选。E-mail:

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施章杰(2000—),男,湖北黄石人,硕士研究生,主要研究方向为矿物的浮选。E-mail:

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磷矿柱式浮选中浮选动力学常数与颗粒停留时间的模型研究
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施章杰 1 , 黄文彦 1 , 邓伏礼 1 , 龙秉文 1 , 丁一刚 1 , 张逸 1, 2
矿冶工程杂志 | 选矿 2026,46(1): 97-101
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矿冶工程杂志 |选矿 2026 , 46 (1) : 97 -101
磷矿柱式浮选中浮选动力学常数与颗粒停留时间的模型研究
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施章杰1 , 黄文彦1, 邓伏礼1, 龙秉文1, 丁一刚1, 张逸1, 2
作者信息
  • 1.武汉工程大学化工与制药学院,湖北 武汉 430073
  • 2.湖北三峡实验室,湖北 宜昌 443007
通讯作者:
张逸(1986—),男,湖北武汉人,副教授,主要从事磷矿浮选、磷氟资源利用、稀土分离等方面的研究。E-mail:
作者简介:

施章杰(2000—),男,湖北黄石人,硕士研究生,主要研究方向为矿物的浮选。E-mail:

Model for Flotation Kinetic Constant and Particle Residence Time of Phosphate Ore in a Flotation Column
Zhangjie SHI1 , Wenyan HUANG1, Fuli DENG1, Bingwen LONG1, Yigang DING1, Yi ZHANG1, 2
Affiliations
  • 1.School of Chemical Engineering and Pharmacy, Wuhan Institute of Technology, Wuhan 430073, Hubei, China
  • 2.Hubei Three Gorges Laboratory, Yichang 443007, Hubei, China
doi: 10.3969/j.issn.0253-6099.2026.01.016
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通过测定充填式浮选柱浮选中低品位磷矿过程中不同浮选时间的回收率,分别采用4种经典动力学模型对其进行拟合,结果表明,一级动力学模型更适合描述和预测该浮选过程。测定磷矿浮选过程中颗粒停留时间,并将实验数据与浮选动力学常数表达式进行关联,推导出颗粒平均停留时间与浮选动力学常数的数学模型,求得适宜的颗粒停留时间为201.87 s,对应的浮选动力学常数为0.114 81。

浮选  /  充填式浮选柱  /  颗粒停留时间  /  动力学模型  /  浮选动力学  /  磷矿  /  浮选动力学常数

Medium and low grade phosphate ores were floated in a packed flotation column, and the phosphate recovery after different floatation time were measured, which were then fitted with four classical kinetic models respectively. Results show that the first-order kinetic model is more suitable to describe and predict the flotation process. The particle residence time in the flotation process of phosphate ore measured in the experiment was correlated to the flotation kinetic constant, and a mathematical model was derived for the average residence time and flotation kinetic constant. With this model, the appropriate average particle residence time is calculated to be 201.87 s and the corresponding flotation kinetic constant is 0.114 81.

floatation  /  packed flotation column  /  particle residence time  /  kinetic model  /  flotation kinetics  /  phosphate ore  /  flotation kinetic constant
施章杰, 黄文彦, 邓伏礼, 龙秉文, 丁一刚, 张逸. 磷矿柱式浮选中浮选动力学常数与颗粒停留时间的模型研究. 矿冶工程杂志, 2026 , 46 (1) : 97 -101 . DOI: 10.3969/j.issn.0253-6099.2026.01.016
Zhangjie SHI, Wenyan HUANG, Fuli DENG, Bingwen LONG, Yigang DING, Yi ZHANG. Model for Flotation Kinetic Constant and Particle Residence Time of Phosphate Ore in a Flotation Column[J]. Mining and Metallurgical Engineering, 2026 , 46 (1) : 97 -101 . DOI: 10.3969/j.issn.0253-6099.2026.01.016
  • 湖北省自然科学基金宜昌创新发展联合基金重点项目(2024AFD134)
  • 湖北省技术创新计划项目(2024BAB124)
  • 武汉工程大学研究生教育创新基金(CX2024281)
  • 国家自然科学基金重点项目(U23A20604)
  • 湖北省科技创新人才计划项目(2024DJC040)
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doi: 10.3969/j.issn.0253-6099.2026.01.016
  • 接收时间:2025-08-20
  • 首发时间:2026-10-08
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  • 收稿日期:2025-08-20
基金
湖北省自然科学基金宜昌创新发展联合基金重点项目(2024AFD134)
湖北省技术创新计划项目(2024BAB124)
武汉工程大学研究生教育创新基金(CX2024281)
国家自然科学基金重点项目(U23A20604)
湖北省科技创新人才计划项目(2024DJC040)
作者信息
    1.武汉工程大学化工与制药学院,湖北 武汉 430073
    2.湖北三峡实验室,湖北 宜昌 443007

通讯作者:

张逸(1986—),男,湖北武汉人,副教授,主要从事磷矿浮选、磷氟资源利用、稀土分离等方面的研究。E-mail:
参考文献
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2种不同金属材料的力学参数
科
Family
属数
Number of
genus
种数
Number of
species
占总种数比例
Percentage of
total species (%)
属
Genus
种数
Number of
species
占总种数比例
Percentage of total
species (%)
鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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