suspension of spheres in a dilute polymer solution
The Hookean dumbbell model of a macromolecule predicts non-uniform density and pressure fields surrounding a sphere buoyant in a dilute polymer solution when the size of the sphere is of the same order of magnitude as the size of the macromolecules. Using this prediction, the root mean square separa...
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| Veröffentlicht in: | Journal of applied polymer science 2009-12, Vol.114 (5), p.2992-2996 |
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| creator | Grisafi, S |
| description | The Hookean dumbbell model of a macromolecule predicts non-uniform density and pressure fields surrounding a sphere buoyant in a dilute polymer solution when the size of the sphere is of the same order of magnitude as the size of the macromolecules. Using this prediction, the root mean square separation distance of a suspension of spheres buoyant within a dilute polymer solution is found to be inversely proportional to both the square of the radius of a sphere and the density of the polymer solution. The phase space distribution function for an ensemble of spheres immersed at equilibrium within a dilute polymer solution is found and used to define the magnitude of the ensemble average peculiar acceleration of the spheres. The peculiar acceleration results from changes in direction of the peculiar velocity. It is found to be directly proportional to the temperature, polymer density, and square of the radius of a sphere and inversely proportional to the mass of a sphere. The self- diffusivity of the particles varies directly with the square root of the temperature. |
| doi_str_mv | 10.1002/app.30920 |
| format | Article |
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Using this prediction, the root mean square separation distance of a suspension of spheres buoyant within a dilute polymer solution is found to be inversely proportional to both the square of the radius of a sphere and the density of the polymer solution. The phase space distribution function for an ensemble of spheres immersed at equilibrium within a dilute polymer solution is found and used to define the magnitude of the ensemble average peculiar acceleration of the spheres. The peculiar acceleration results from changes in direction of the peculiar velocity. It is found to be directly proportional to the temperature, polymer density, and square of the radius of a sphere and inversely proportional to the mass of a sphere. The self- diffusivity of the particles varies directly with the square root of the temperature.</description><identifier>ISSN: 0021-8995</identifier><identifier>ISSN: 1097-4628</identifier><identifier>EISSN: 1097-4628</identifier><identifier>DOI: 10.1002/app.30920</identifier><identifier>CODEN: JAPNAB</identifier><language>eng</language><publisher>Hoboken: Wiley Subscription Services, Inc., A Wiley Company</publisher><subject>Acceleration ; adsorption ; Applied sciences ; Buoyancy ; colloids ; Density ; diffusion ; Diffusivity ; Dilution ; Exact sciences and technology ; interfaces ; Macromolecules ; Mathematical models ; molecular mechanics ; Organic polymers ; Physicochemistry of polymers ; Properties and characterization ; Roots ; Solution and gel properties</subject><ispartof>Journal of applied polymer science, 2009-12, Vol.114 (5), p.2992-2996</ispartof><rights>Copyright © 2009 Wiley Periodicals, Inc.</rights><rights>2015 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c3850-acd0c0069ec79319934200744f6e69806ab77c888730d9b7d783e6222c2dec2e3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://onlinelibrary.wiley.com/doi/pdf/10.1002%2Fapp.30920$$EPDF$$P50$$Gwiley$$H</linktopdf><linktohtml>$$Uhttps://onlinelibrary.wiley.com/doi/full/10.1002%2Fapp.30920$$EHTML$$P50$$Gwiley$$H</linktohtml><link.rule.ids>314,776,780,1411,27903,27904,45553,45554</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=22060103$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Grisafi, S</creatorcontrib><title>suspension of spheres in a dilute polymer solution</title><title>Journal of applied polymer science</title><addtitle>J. Appl. Polym. Sci</addtitle><description>The Hookean dumbbell model of a macromolecule predicts non-uniform density and pressure fields surrounding a sphere buoyant in a dilute polymer solution when the size of the sphere is of the same order of magnitude as the size of the macromolecules. Using this prediction, the root mean square separation distance of a suspension of spheres buoyant within a dilute polymer solution is found to be inversely proportional to both the square of the radius of a sphere and the density of the polymer solution. The phase space distribution function for an ensemble of spheres immersed at equilibrium within a dilute polymer solution is found and used to define the magnitude of the ensemble average peculiar acceleration of the spheres. The peculiar acceleration results from changes in direction of the peculiar velocity. It is found to be directly proportional to the temperature, polymer density, and square of the radius of a sphere and inversely proportional to the mass of a sphere. The self- diffusivity of the particles varies directly with the square root of the temperature.</description><subject>Acceleration</subject><subject>adsorption</subject><subject>Applied sciences</subject><subject>Buoyancy</subject><subject>colloids</subject><subject>Density</subject><subject>diffusion</subject><subject>Diffusivity</subject><subject>Dilution</subject><subject>Exact sciences and technology</subject><subject>interfaces</subject><subject>Macromolecules</subject><subject>Mathematical models</subject><subject>molecular mechanics</subject><subject>Organic polymers</subject><subject>Physicochemistry of polymers</subject><subject>Properties and characterization</subject><subject>Roots</subject><subject>Solution and gel properties</subject><issn>0021-8995</issn><issn>1097-4628</issn><issn>1097-4628</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2009</creationdate><recordtype>article</recordtype><recordid>eNqFkE1P3DAQhi1EJRbKgV9ALghxCIztxB9HWNFtVbRFWhBHyzgTCGST4NkV3X9f01BuqHOxRn7eR6OXsQMOpxxAnPlhOJVgBWyxCQer80IJs80m6Y_nxtpyh-0SPQFwXoKaMEFrGrCjpu-yvs5oeMSIlDVd5rOqadcrzIa-3SwxZtSnNXFf2Zfat4T77-8eu_12eTP9nl_9mv2Ynl_lQZoSch8qCADKYtBWcmtlIQB0UdQKlTWg_L3WwRijJVT2XlfaSFRCiCAqDALlHjsevUPsX9ZIK7dsKGDb-g77NTkLXCkpS_Ff0lglpCoNJPJkJEPsiSLWbojN0seN4-DeCnSpQPe3wMQevVs9Bd_W0XehoY-AEKCAg0zc2ci9Ni1uPhe68-vrf-Z8TDS0wt8fCR-fndJSl-5uPnMXs8XPYj5buHniD0e-9r3zDzFdcbsQwGVqwAiZ5g_v7ZUI</recordid><startdate>20091201</startdate><enddate>20091201</enddate><creator>Grisafi, S</creator><general>Wiley Subscription Services, Inc., A Wiley Company</general><general>Wiley</general><scope>FBQ</scope><scope>BSCLL</scope><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SR</scope><scope>8FD</scope><scope>JG9</scope></search><sort><creationdate>20091201</creationdate><title>suspension of spheres in a dilute polymer solution</title><author>Grisafi, S</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c3850-acd0c0069ec79319934200744f6e69806ab77c888730d9b7d783e6222c2dec2e3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2009</creationdate><topic>Acceleration</topic><topic>adsorption</topic><topic>Applied sciences</topic><topic>Buoyancy</topic><topic>colloids</topic><topic>Density</topic><topic>diffusion</topic><topic>Diffusivity</topic><topic>Dilution</topic><topic>Exact sciences and technology</topic><topic>interfaces</topic><topic>Macromolecules</topic><topic>Mathematical models</topic><topic>molecular mechanics</topic><topic>Organic polymers</topic><topic>Physicochemistry of polymers</topic><topic>Properties and characterization</topic><topic>Roots</topic><topic>Solution and gel properties</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Grisafi, S</creatorcontrib><collection>AGRIS</collection><collection>Istex</collection><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Engineered Materials Abstracts</collection><collection>Technology Research Database</collection><collection>Materials Research Database</collection><jtitle>Journal of applied polymer science</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Grisafi, S</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>suspension of spheres in a dilute polymer solution</atitle><jtitle>Journal of applied polymer science</jtitle><addtitle>J. Appl. Polym. Sci</addtitle><date>2009-12-01</date><risdate>2009</risdate><volume>114</volume><issue>5</issue><spage>2992</spage><epage>2996</epage><pages>2992-2996</pages><issn>0021-8995</issn><issn>1097-4628</issn><eissn>1097-4628</eissn><coden>JAPNAB</coden><abstract>The Hookean dumbbell model of a macromolecule predicts non-uniform density and pressure fields surrounding a sphere buoyant in a dilute polymer solution when the size of the sphere is of the same order of magnitude as the size of the macromolecules. Using this prediction, the root mean square separation distance of a suspension of spheres buoyant within a dilute polymer solution is found to be inversely proportional to both the square of the radius of a sphere and the density of the polymer solution. The phase space distribution function for an ensemble of spheres immersed at equilibrium within a dilute polymer solution is found and used to define the magnitude of the ensemble average peculiar acceleration of the spheres. The peculiar acceleration results from changes in direction of the peculiar velocity. It is found to be directly proportional to the temperature, polymer density, and square of the radius of a sphere and inversely proportional to the mass of a sphere. The self- diffusivity of the particles varies directly with the square root of the temperature.</abstract><cop>Hoboken</cop><pub>Wiley Subscription Services, Inc., A Wiley Company</pub><doi>10.1002/app.30920</doi><tpages>5</tpages></addata></record> |
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| source | Wiley Online Library Journals Frontfile Complete |
| subjects | Acceleration adsorption Applied sciences Buoyancy colloids Density diffusion Diffusivity Dilution Exact sciences and technology interfaces Macromolecules Mathematical models molecular mechanics Organic polymers Physicochemistry of polymers Properties and characterization Roots Solution and gel properties |
| title | suspension of spheres in a dilute polymer solution |
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