Modification of square root formula for approximate estimation of diffusion coefficient of particulate adsorbents
The well known square root formula for the kinetics of adsorption by spherical particle U(t)=(6/r 0 )(Dt/π) 1/2 is only valid in the early stage of adsorption (U(t) ≤0.3), where U(t) shows fractional attainment to the equilibrium. Present study shows that with a little manipulation of this formula,...
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| creator | Outokesh, Mohammad Grayeli, Fatemeh Tayyebi, Ahmad Khanchi, Alireza |
| description | The well known square root formula for the kinetics of adsorption by spherical particle U(t)=(6/r 0 )(Dt/π) 1/2 is only valid in the early stage of adsorption (U(t) ≤0.3), where U(t) shows fractional attainment to the equilibrium. Present study shows that with a little manipulation of this formula, its application range can be extended to U(t) ≤0.95. The suggested formula U(t)=(6/r 0 )(Dt/π) 1/2 -(3Dt/r 0 2 ) in addition of simplicity, has higher accuracy than both square root and Vermeulen's formulas. |
| doi_str_mv | 10.1109/ICCCENG.2010.5561711 |
| format | Conference Proceeding |
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Present study shows that with a little manipulation of this formula, its application range can be extended to U(t) ≤0.95. 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Present study shows that with a little manipulation of this formula, its application range can be extended to U(t) ≤0.95. The suggested formula U(t)=(6/r 0 )(Dt/π) 1/2 -(3Dt/r 0 2 ) in addition of simplicity, has higher accuracy than both square root and Vermeulen's formulas.</description><subject>Accuracy</subject><subject>Chemical engineering</subject><subject>Chemistry</subject><subject>Diffusion Coefficient</subject><subject>Equations</subject><subject>Fick's Equation</subject><subject>Ions</subject><subject>Kinetic theory</subject><subject>Mathematical model</subject><subject>Modification</subject><subject>Square Root Formula</subject><subject>Vermulen's Formula</subject><issn>2161-5489</issn><issn>2161-5500</issn><isbn>1424477654</isbn><isbn>9781424477654</isbn><isbn>9781424477661</isbn><isbn>1424477662</isbn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>2010</creationdate><recordtype>conference_proceeding</recordtype><sourceid>6IE</sourceid><sourceid>RIE</sourceid><recordid>eNo1kMtOwzAQRc1LopR8ASzyAym2E9vJEkWlVCqw6b7yYywZtXVqOxL8PY5oZ3Nn5uhejQahZ4IXhODuZd33_fJztaA4bxjjRBByhYpOtKShTSME5-QazSjhpGIM4xv0cAGsub2Apu3uURHjN87VMEprMUOnD2-cdVom54-lt2U8jTJAGbxPpfXhMO7lpKUchuB_3EEmKCGmqTk7st-OcRq0B5uzHBzTBAYZktM5IFukiT6oDOIjurNyH6E46xxt35bb_r3afK3W_eumch1OFXRcYwWgJMbGUM5qY1qDtabWaMpNbSyFVoi65QQMpoopQplqrZJWUazrOXr6j3UAsBtCPjj87s7Pq_8ATkFjlw</recordid><startdate>201008</startdate><enddate>201008</enddate><creator>Outokesh, Mohammad</creator><creator>Grayeli, Fatemeh</creator><creator>Tayyebi, Ahmad</creator><creator>Khanchi, Alireza</creator><general>IEEE</general><scope>6IE</scope><scope>6IL</scope><scope>CBEJK</scope><scope>RIE</scope><scope>RIL</scope></search><sort><creationdate>201008</creationdate><title>Modification of square root formula for approximate estimation of diffusion coefficient of particulate adsorbents</title><author>Outokesh, Mohammad ; Grayeli, Fatemeh ; Tayyebi, Ahmad ; Khanchi, Alireza</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-i90t-e96c0beeba00dd2653dd8d0cc2fdc26d3df2e8773861ed02b5b125b8fbafb20c3</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>2010</creationdate><topic>Accuracy</topic><topic>Chemical engineering</topic><topic>Chemistry</topic><topic>Diffusion Coefficient</topic><topic>Equations</topic><topic>Fick's Equation</topic><topic>Ions</topic><topic>Kinetic theory</topic><topic>Mathematical model</topic><topic>Modification</topic><topic>Square Root Formula</topic><topic>Vermulen's Formula</topic><toplevel>online_resources</toplevel><creatorcontrib>Outokesh, Mohammad</creatorcontrib><creatorcontrib>Grayeli, Fatemeh</creatorcontrib><creatorcontrib>Tayyebi, Ahmad</creatorcontrib><creatorcontrib>Khanchi, Alireza</creatorcontrib><collection>IEEE Electronic Library (IEL) Conference Proceedings</collection><collection>IEEE Proceedings Order Plan All Online (POP All Online) 1998-present by volume</collection><collection>IEEE Xplore All Conference Proceedings</collection><collection>IEEE Electronic Library (IEL)</collection><collection>IEEE Proceedings Order Plans (POP All) 1998-Present</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Outokesh, Mohammad</au><au>Grayeli, Fatemeh</au><au>Tayyebi, Ahmad</au><au>Khanchi, Alireza</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>Modification of square root formula for approximate estimation of diffusion coefficient of particulate adsorbents</atitle><btitle>2010 International Conference on Chemistry and Chemical Engineering</btitle><stitle>ICCCENG</stitle><date>2010-08</date><risdate>2010</risdate><spage>110</spage><epage>113</epage><pages>110-113</pages><issn>2161-5489</issn><eissn>2161-5500</eissn><isbn>1424477654</isbn><isbn>9781424477654</isbn><eisbn>9781424477661</eisbn><eisbn>1424477662</eisbn><abstract>The well known square root formula for the kinetics of adsorption by spherical particle U(t)=(6/r 0 )(Dt/π) 1/2 is only valid in the early stage of adsorption (U(t) ≤0.3), where U(t) shows fractional attainment to the equilibrium. Present study shows that with a little manipulation of this formula, its application range can be extended to U(t) ≤0.95. The suggested formula U(t)=(6/r 0 )(Dt/π) 1/2 -(3Dt/r 0 2 ) in addition of simplicity, has higher accuracy than both square root and Vermeulen's formulas.</abstract><pub>IEEE</pub><doi>10.1109/ICCCENG.2010.5561711</doi><tpages>4</tpages></addata></record> |
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| language | eng |
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| source | IEEE Electronic Library (IEL) Conference Proceedings |
| subjects | Accuracy Chemical engineering Chemistry Diffusion Coefficient Equations Fick's Equation Ions Kinetic theory Mathematical model Modification Square Root Formula Vermulen's Formula |
| title | Modification of square root formula for approximate estimation of diffusion coefficient of particulate adsorbents |
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