The influence of injection velocity and relaxation time on the spreading of tracers in viscoelastic liquids agitated by submerged, recirculating jets with low reynolds numbers
We provide experimental demonstration that the spread of tracer elements in a tank containing a viscoelastic liquid and agitated by a submerged jet pointing to the base of the tank can be influenced by the relaxation time of the liquid. We analyzed the temporal spreading of the boundary of a tracer‐...
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| Veröffentlicht in: | AIChE journal 2017-07, Vol.63 (7), p.3132-3140 |
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| container_title | AIChE journal |
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| creator | Bhattacharjee, Pradipto K. Kennedy, Stephen P. Xu, Qian Eshtiaghi, Nicky Parthasarathy, Rajarathinam |
| description | We provide experimental demonstration that the spread of tracer elements in a tank containing a viscoelastic liquid and agitated by a submerged jet pointing to the base of the tank can be influenced by the relaxation time of the liquid. We analyzed the temporal spreading of the boundary of a tracer‐front in two dimensions using flow visualization at early stages and found that for a given fluid, the evolution of the tracer‐front at various injection velocities follows a universal trajectory when considered on a normalized time scale of
t/vN2/κ, where t is observation time,
vN is injection velocity and
κ is the effective diffusivity of the tracer elements in the medium. For a different fluid, at a given
vN, the trajectory scales with the relaxation time of the fluid. The importance of relaxation time to the evolution of a tracer‐front is something previously unreported. © 2017 American Institute of Chemical Engineers AIChE J, 63: 3132–3140, 2017 |
| doi_str_mv | 10.1002/aic.15640 |
| format | Article |
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t/vN2/κ, where t is observation time,
vN is injection velocity and
κ is the effective diffusivity of the tracer elements in the medium. For a different fluid, at a given
vN, the trajectory scales with the relaxation time of the fluid. The importance of relaxation time to the evolution of a tracer‐front is something previously unreported. © 2017 American Institute of Chemical Engineers AIChE J, 63: 3132–3140, 2017</description><identifier>ISSN: 0001-1541</identifier><identifier>EISSN: 1547-5905</identifier><identifier>DOI: 10.1002/aic.15640</identifier><language>eng</language><publisher>New York: American Institute of Chemical Engineers</publisher><subject>agitated vessels ; Agitation ; Chemical engineering ; Diffusivity ; Evolution ; Flow visualization ; Injection ; Jets ; Liquids ; non‐Newtonian flow ; Relaxation time ; Reynolds number ; Spreading ; Time ; Tracers ; Trajectories ; Two dimensional flow ; Velocity ; Viscoelastic liquids ; Viscoelasticity ; Visualization</subject><ispartof>AIChE journal, 2017-07, Vol.63 (7), p.3132-3140</ispartof><rights>2017 American Institute of Chemical Engineers</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c3340-4c7b80d01158cfc2cd6802981d6f0c77da1a2c1d0480f3184654d1e9581cde263</citedby><cites>FETCH-LOGICAL-c3340-4c7b80d01158cfc2cd6802981d6f0c77da1a2c1d0480f3184654d1e9581cde263</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%2Faic.15640$$EPDF$$P50$$Gwiley$$H</linktopdf><linktohtml>$$Uhttps://onlinelibrary.wiley.com/doi/full/10.1002%2Faic.15640$$EHTML$$P50$$Gwiley$$H</linktohtml><link.rule.ids>314,777,781,1412,27905,27906,45555,45556</link.rule.ids></links><search><creatorcontrib>Bhattacharjee, Pradipto K.</creatorcontrib><creatorcontrib>Kennedy, Stephen P.</creatorcontrib><creatorcontrib>Xu, Qian</creatorcontrib><creatorcontrib>Eshtiaghi, Nicky</creatorcontrib><creatorcontrib>Parthasarathy, Rajarathinam</creatorcontrib><title>The influence of injection velocity and relaxation time on the spreading of tracers in viscoelastic liquids agitated by submerged, recirculating jets with low reynolds numbers</title><title>AIChE journal</title><description>We provide experimental demonstration that the spread of tracer elements in a tank containing a viscoelastic liquid and agitated by a submerged jet pointing to the base of the tank can be influenced by the relaxation time of the liquid. We analyzed the temporal spreading of the boundary of a tracer‐front in two dimensions using flow visualization at early stages and found that for a given fluid, the evolution of the tracer‐front at various injection velocities follows a universal trajectory when considered on a normalized time scale of
t/vN2/κ, where t is observation time,
vN is injection velocity and
κ is the effective diffusivity of the tracer elements in the medium. For a different fluid, at a given
vN, the trajectory scales with the relaxation time of the fluid. 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We analyzed the temporal spreading of the boundary of a tracer‐front in two dimensions using flow visualization at early stages and found that for a given fluid, the evolution of the tracer‐front at various injection velocities follows a universal trajectory when considered on a normalized time scale of
t/vN2/κ, where t is observation time,
vN is injection velocity and
κ is the effective diffusivity of the tracer elements in the medium. For a different fluid, at a given
vN, the trajectory scales with the relaxation time of the fluid. The importance of relaxation time to the evolution of a tracer‐front is something previously unreported. © 2017 American Institute of Chemical Engineers AIChE J, 63: 3132–3140, 2017</abstract><cop>New York</cop><pub>American Institute of Chemical Engineers</pub><doi>10.1002/aic.15640</doi><tpages>9</tpages></addata></record> |
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| source | Wiley Online Library Journals Frontfile Complete |
| subjects | agitated vessels Agitation Chemical engineering Diffusivity Evolution Flow visualization Injection Jets Liquids non‐Newtonian flow Relaxation time Reynolds number Spreading Time Tracers Trajectories Two dimensional flow Velocity Viscoelastic liquids Viscoelasticity Visualization |
| title | The influence of injection velocity and relaxation time on the spreading of tracers in viscoelastic liquids agitated by submerged, recirculating jets with low reynolds numbers |
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