Nonlinear rheology of a dilute emulsion of surfactant-covered spherical drops in time-dependent flows
The effect of an insoluble surfactant on the rheological behaviour of a dilute emulsion is theoretically studied under low-capillary-number conditions. The dynamics depends on three dimensionless time-scale parameters that characterize the strength of the mechanisms that control the magnitude of the...
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| Veröffentlicht in: | Journal of fluid mechanics 2002-07, Vol.463, p.1-24 |
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| container_title | Journal of fluid mechanics |
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| creator | VLAHOVSKA, P. BŁAWZDZIEWICZ, J. LOEWENBERG, M. |
| description | The effect of an insoluble surfactant on the rheological behaviour of a dilute emulsion
is theoretically studied under low-capillary-number conditions. The dynamics depends
on three dimensionless time-scale parameters that characterize the strength of the
mechanisms that control the magnitude of the distortion of the surfactant distribution
on the drop interface. These mechanisms include Marangoni relaxation, drop rotation
by the imposed flow, and oscillations of the imposed flow. The interaction of the time
scales gives rise to a complex rheological behaviour. The evolution of the system is
described by a nonlinear matrix equation derived by expanding the fluid velocity and
surfactant distribution in spherical harmonics. Analytical expansions are developed
for conditions where the surfactant distribution is only slightly perturbed, which
occurs when one of the time-scale parameters is small. |
| doi_str_mv | 10.1017/S0022112002008571 |
| format | Article |
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is theoretically studied under low-capillary-number conditions. The dynamics depends
on three dimensionless time-scale parameters that characterize the strength of the
mechanisms that control the magnitude of the distortion of the surfactant distribution
on the drop interface. These mechanisms include Marangoni relaxation, drop rotation
by the imposed flow, and oscillations of the imposed flow. The interaction of the time
scales gives rise to a complex rheological behaviour. The evolution of the system is
described by a nonlinear matrix equation derived by expanding the fluid velocity and
surfactant distribution in spherical harmonics. Analytical expansions are developed
for conditions where the surfactant distribution is only slightly perturbed, which
occurs when one of the time-scale parameters is small.</description><identifier>ISSN: 0022-1120</identifier><identifier>EISSN: 1469-7645</identifier><identifier>DOI: 10.1017/S0022112002008571</identifier><identifier>CODEN: JFLSA7</identifier><language>eng</language><publisher>Cambridge, UK: Cambridge University Press</publisher><subject>Cross-disciplinary physics: materials science; rheology ; Deformation; material flow ; Emulsions ; Exact sciences and technology ; Fluid mechanics ; Heterogeneous liquids: suspensions, dispersions, emulsions, pastes, slurries, foams, block copolymers, etc ; Material form ; Nonlinear viscoelasticity ; Physics ; Rheology ; Surfactants</subject><ispartof>Journal of fluid mechanics, 2002-07, Vol.463, p.1-24</ispartof><rights>2002 Cambridge University Press</rights><rights>2002 INIST-CNRS</rights><rights>Copyright Cambridge University Press Jul 2002</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c424t-9d22a68eb8c6191af3897a19d91f450fc7548e2f5e54aafd760175b457d532c43</citedby></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.cambridge.org/core/product/identifier/S0022112002008571/type/journal_article$$EHTML$$P50$$Gcambridge$$H</linktohtml><link.rule.ids>164,314,776,780,27901,27902,55603</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=13797900$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>VLAHOVSKA, P.</creatorcontrib><creatorcontrib>BŁAWZDZIEWICZ, J.</creatorcontrib><creatorcontrib>LOEWENBERG, M.</creatorcontrib><title>Nonlinear rheology of a dilute emulsion of surfactant-covered spherical drops in time-dependent flows</title><title>Journal of fluid mechanics</title><addtitle>J. Fluid Mech</addtitle><description>The effect of an insoluble surfactant on the rheological behaviour of a dilute emulsion
is theoretically studied under low-capillary-number conditions. The dynamics depends
on three dimensionless time-scale parameters that characterize the strength of the
mechanisms that control the magnitude of the distortion of the surfactant distribution
on the drop interface. These mechanisms include Marangoni relaxation, drop rotation
by the imposed flow, and oscillations of the imposed flow. The interaction of the time
scales gives rise to a complex rheological behaviour. The evolution of the system is
described by a nonlinear matrix equation derived by expanding the fluid velocity and
surfactant distribution in spherical harmonics. Analytical expansions are developed
for conditions where the surfactant distribution is only slightly perturbed, which
occurs when one of the time-scale parameters is small.</description><subject>Cross-disciplinary physics: materials science; rheology</subject><subject>Deformation; material flow</subject><subject>Emulsions</subject><subject>Exact sciences and technology</subject><subject>Fluid mechanics</subject><subject>Heterogeneous liquids: suspensions, dispersions, emulsions, pastes, slurries, foams, block copolymers, etc</subject><subject>Material form</subject><subject>Nonlinear viscoelasticity</subject><subject>Physics</subject><subject>Rheology</subject><subject>Surfactants</subject><issn>0022-1120</issn><issn>1469-7645</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2002</creationdate><recordtype>article</recordtype><sourceid>8G5</sourceid><sourceid>BENPR</sourceid><sourceid>GUQSH</sourceid><sourceid>M2O</sourceid><recordid>eNp1kFFLHTEQhUNpobe2P6BvgaJvq5lsstk8imgriD6oz0tuMtFINtkmuxX_fffihRZLnwbmfHM4cwj5CuwYGKiTW8Y4B-DrYKyXCt6RDYhON6oT8j3Z7ORmp38kn2p9YgxaptWG4HVOMSQ0hZZHzDE_vNDsqaEuxGVGiuMSa8hpt6xL8cbOJs2Nzb-woKN1esQSrInUlTxVGhKdw4iNwwmTwzRTH_Nz_Uw-eBMrftnPA3J_cX539qO5uvl-eXZ61VjBxdxox7npetz2tgMNxre9Vga00-CFZN4qKXrkXqIUxninuvV1uRVSOdlyK9oDcvTqO5X8c8E6D2OoFmM0CfNSB66klgz4Cn57Az7lpaQ12wACetEqJtqVglfKllxrQT9MJYymvAzAhl3twz-1rzeHe2dT1158McmG-uewVVppxlau3XubcVuCe8C_IvzX_Te0FZEM</recordid><startdate>20020725</startdate><enddate>20020725</enddate><creator>VLAHOVSKA, P.</creator><creator>BŁAWZDZIEWICZ, J.</creator><creator>LOEWENBERG, M.</creator><general>Cambridge University Press</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>3V.</scope><scope>7TB</scope><scope>7U5</scope><scope>7UA</scope><scope>7XB</scope><scope>88I</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>8FK</scope><scope>8G5</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AEUYN</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>BHPHI</scope><scope>BKSAR</scope><scope>C1K</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>F1W</scope><scope>FR3</scope><scope>GNUQQ</scope><scope>GUQSH</scope><scope>H8D</scope><scope>H96</scope><scope>HCIFZ</scope><scope>KR7</scope><scope>L.G</scope><scope>L6V</scope><scope>L7M</scope><scope>M2O</scope><scope>M2P</scope><scope>M7S</scope><scope>MBDVC</scope><scope>P5Z</scope><scope>P62</scope><scope>PCBAR</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PTHSS</scope><scope>Q9U</scope><scope>S0W</scope></search><sort><creationdate>20020725</creationdate><title>Nonlinear rheology of a dilute emulsion of surfactant-covered spherical drops in time-dependent flows</title><author>VLAHOVSKA, P. ; 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Fluid Mech</addtitle><date>2002-07-25</date><risdate>2002</risdate><volume>463</volume><spage>1</spage><epage>24</epage><pages>1-24</pages><issn>0022-1120</issn><eissn>1469-7645</eissn><coden>JFLSA7</coden><abstract>The effect of an insoluble surfactant on the rheological behaviour of a dilute emulsion
is theoretically studied under low-capillary-number conditions. The dynamics depends
on three dimensionless time-scale parameters that characterize the strength of the
mechanisms that control the magnitude of the distortion of the surfactant distribution
on the drop interface. These mechanisms include Marangoni relaxation, drop rotation
by the imposed flow, and oscillations of the imposed flow. The interaction of the time
scales gives rise to a complex rheological behaviour. The evolution of the system is
described by a nonlinear matrix equation derived by expanding the fluid velocity and
surfactant distribution in spherical harmonics. Analytical expansions are developed
for conditions where the surfactant distribution is only slightly perturbed, which
occurs when one of the time-scale parameters is small.</abstract><cop>Cambridge, UK</cop><pub>Cambridge University Press</pub><doi>10.1017/S0022112002008571</doi><tpages>24</tpages></addata></record> |
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| ispartof | Journal of fluid mechanics, 2002-07, Vol.463, p.1-24 |
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| language | eng |
| recordid | cdi_proquest_miscellaneous_27595012 |
| source | Cambridge University Press Journals Complete |
| subjects | Cross-disciplinary physics: materials science rheology Deformation material flow Emulsions Exact sciences and technology Fluid mechanics Heterogeneous liquids: suspensions, dispersions, emulsions, pastes, slurries, foams, block copolymers, etc Material form Nonlinear viscoelasticity Physics Rheology Surfactants |
| title | Nonlinear rheology of a dilute emulsion of surfactant-covered spherical drops in time-dependent flows |
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