Miscible displacement with combined free and forced convection: Laminar flow in a vertical tube
An approximate analysis is given for miscible displacement in vertical tubes when density differences between the displaced and displacing fluids give rise to buoyancy forces which affect the velocity distribution significantly. The results of this analysis agree with the available experimental data...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
1973 |
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| Umfang: |
6 Ill. ; 1 Tab. 8 |
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| Reproduktion: |
Wiley InterScience Backfile Collection 1832-2000 |
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| Übergeordnetes Werk: |
in: AIChE Journal - Hoboken, NJ : Wiley, 19(1973) vom: Jan., Seite 151-158 |
| Übergeordnetes Werk: |
volume:19 ; year:1973 ; month:01 ; pages:151-158 ; extent:8 |
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NLEJ159471354 |
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| 245 | 1 | 0 | |a Miscible displacement with combined free and forced convection: Laminar flow in a vertical tube |
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| 520 | |a An approximate analysis is given for miscible displacement in vertical tubes when density differences between the displaced and displacing fluids give rise to buoyancy forces which affect the velocity distribution significantly. The results of this analysis agree with the available experimental data fairly uniformly over the range of parameters studied experimentally.By analogy with studies of heat transfer in vertcal tubes it is concluded that both cases studied, when a lighter fluid displaces a heavier fluid in upflow, or when the heavier fluid is below the lighter fluid, are potentially unstable flows because buoyancy forces can create points of inflection in the velocity profile; stagnation at the wall also is predicted for upflow when the lighter fluid is on the bottom initially, and this has been observed to induce a sudden transition to turbulence in heat transfer systems.Buoyancy forces reduce the extent of dispersion by flattening the velocity profile when the heavier fluid is on the bottom in upflow. The velocity profile is elongated and the dispersion coefficient is increased when the bottom fluid is lighter than the one it displaces in upflow. | ||
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(DE-627)NLEJ159471354 DE-627 ger DE-627 rakwb eng Miscible displacement with combined free and forced convection: Laminar flow in a vertical tube 1973 6 Ill. 1 Tab. 8 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier An approximate analysis is given for miscible displacement in vertical tubes when density differences between the displaced and displacing fluids give rise to buoyancy forces which affect the velocity distribution significantly. The results of this analysis agree with the available experimental data fairly uniformly over the range of parameters studied experimentally.By analogy with studies of heat transfer in vertcal tubes it is concluded that both cases studied, when a lighter fluid displaces a heavier fluid in upflow, or when the heavier fluid is below the lighter fluid, are potentially unstable flows because buoyancy forces can create points of inflection in the velocity profile; stagnation at the wall also is predicted for upflow when the lighter fluid is on the bottom initially, and this has been observed to induce a sudden transition to turbulence in heat transfer systems.Buoyancy forces reduce the extent of dispersion by flattening the velocity profile when the heavier fluid is on the bottom in upflow. The velocity profile is elongated and the dispersion coefficient is increased when the bottom fluid is lighter than the one it displaces in upflow. Wiley InterScience Backfile Collection 1832-2000 Posner, Martin oth Gill, William N. oth in AIChE Journal Hoboken, NJ : Wiley 19(1973) vom: Jan., Seite 151-158 (DE-627)NLEJ159070651 (DE-600)2020333-0 0001-1541 nnns volume:19 year:1973 month:01 pages:151-158 extent:8 http://dx.doi.org/10.1002/aic.690190122 text/html Deutschlandweit zugänglich GBV_USEFLAG_U ZDB-1-WIS GBV_NL_ARTICLE AR 19 1973 1 151-158 8 |
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(DE-627)NLEJ159471354 DE-627 ger DE-627 rakwb eng Miscible displacement with combined free and forced convection: Laminar flow in a vertical tube 1973 6 Ill. 1 Tab. 8 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier An approximate analysis is given for miscible displacement in vertical tubes when density differences between the displaced and displacing fluids give rise to buoyancy forces which affect the velocity distribution significantly. The results of this analysis agree with the available experimental data fairly uniformly over the range of parameters studied experimentally.By analogy with studies of heat transfer in vertcal tubes it is concluded that both cases studied, when a lighter fluid displaces a heavier fluid in upflow, or when the heavier fluid is below the lighter fluid, are potentially unstable flows because buoyancy forces can create points of inflection in the velocity profile; stagnation at the wall also is predicted for upflow when the lighter fluid is on the bottom initially, and this has been observed to induce a sudden transition to turbulence in heat transfer systems.Buoyancy forces reduce the extent of dispersion by flattening the velocity profile when the heavier fluid is on the bottom in upflow. The velocity profile is elongated and the dispersion coefficient is increased when the bottom fluid is lighter than the one it displaces in upflow. Wiley InterScience Backfile Collection 1832-2000 Posner, Martin oth Gill, William N. oth in AIChE Journal Hoboken, NJ : Wiley 19(1973) vom: Jan., Seite 151-158 (DE-627)NLEJ159070651 (DE-600)2020333-0 0001-1541 nnns volume:19 year:1973 month:01 pages:151-158 extent:8 http://dx.doi.org/10.1002/aic.690190122 text/html Deutschlandweit zugänglich GBV_USEFLAG_U ZDB-1-WIS GBV_NL_ARTICLE AR 19 1973 1 151-158 8 |
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(DE-627)NLEJ159471354 DE-627 ger DE-627 rakwb eng Miscible displacement with combined free and forced convection: Laminar flow in a vertical tube 1973 6 Ill. 1 Tab. 8 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier An approximate analysis is given for miscible displacement in vertical tubes when density differences between the displaced and displacing fluids give rise to buoyancy forces which affect the velocity distribution significantly. The results of this analysis agree with the available experimental data fairly uniformly over the range of parameters studied experimentally.By analogy with studies of heat transfer in vertcal tubes it is concluded that both cases studied, when a lighter fluid displaces a heavier fluid in upflow, or when the heavier fluid is below the lighter fluid, are potentially unstable flows because buoyancy forces can create points of inflection in the velocity profile; stagnation at the wall also is predicted for upflow when the lighter fluid is on the bottom initially, and this has been observed to induce a sudden transition to turbulence in heat transfer systems.Buoyancy forces reduce the extent of dispersion by flattening the velocity profile when the heavier fluid is on the bottom in upflow. The velocity profile is elongated and the dispersion coefficient is increased when the bottom fluid is lighter than the one it displaces in upflow. Wiley InterScience Backfile Collection 1832-2000 Posner, Martin oth Gill, William N. oth in AIChE Journal Hoboken, NJ : Wiley 19(1973) vom: Jan., Seite 151-158 (DE-627)NLEJ159070651 (DE-600)2020333-0 0001-1541 nnns volume:19 year:1973 month:01 pages:151-158 extent:8 http://dx.doi.org/10.1002/aic.690190122 text/html Deutschlandweit zugänglich GBV_USEFLAG_U ZDB-1-WIS GBV_NL_ARTICLE AR 19 1973 1 151-158 8 |
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(DE-627)NLEJ159471354 DE-627 ger DE-627 rakwb eng Miscible displacement with combined free and forced convection: Laminar flow in a vertical tube 1973 6 Ill. 1 Tab. 8 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier An approximate analysis is given for miscible displacement in vertical tubes when density differences between the displaced and displacing fluids give rise to buoyancy forces which affect the velocity distribution significantly. The results of this analysis agree with the available experimental data fairly uniformly over the range of parameters studied experimentally.By analogy with studies of heat transfer in vertcal tubes it is concluded that both cases studied, when a lighter fluid displaces a heavier fluid in upflow, or when the heavier fluid is below the lighter fluid, are potentially unstable flows because buoyancy forces can create points of inflection in the velocity profile; stagnation at the wall also is predicted for upflow when the lighter fluid is on the bottom initially, and this has been observed to induce a sudden transition to turbulence in heat transfer systems.Buoyancy forces reduce the extent of dispersion by flattening the velocity profile when the heavier fluid is on the bottom in upflow. The velocity profile is elongated and the dispersion coefficient is increased when the bottom fluid is lighter than the one it displaces in upflow. Wiley InterScience Backfile Collection 1832-2000 Posner, Martin oth Gill, William N. oth in AIChE Journal Hoboken, NJ : Wiley 19(1973) vom: Jan., Seite 151-158 (DE-627)NLEJ159070651 (DE-600)2020333-0 0001-1541 nnns volume:19 year:1973 month:01 pages:151-158 extent:8 http://dx.doi.org/10.1002/aic.690190122 text/html Deutschlandweit zugänglich GBV_USEFLAG_U ZDB-1-WIS GBV_NL_ARTICLE AR 19 1973 1 151-158 8 |
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(DE-627)NLEJ159471354 DE-627 ger DE-627 rakwb eng Miscible displacement with combined free and forced convection: Laminar flow in a vertical tube 1973 6 Ill. 1 Tab. 8 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier An approximate analysis is given for miscible displacement in vertical tubes when density differences between the displaced and displacing fluids give rise to buoyancy forces which affect the velocity distribution significantly. The results of this analysis agree with the available experimental data fairly uniformly over the range of parameters studied experimentally.By analogy with studies of heat transfer in vertcal tubes it is concluded that both cases studied, when a lighter fluid displaces a heavier fluid in upflow, or when the heavier fluid is below the lighter fluid, are potentially unstable flows because buoyancy forces can create points of inflection in the velocity profile; stagnation at the wall also is predicted for upflow when the lighter fluid is on the bottom initially, and this has been observed to induce a sudden transition to turbulence in heat transfer systems.Buoyancy forces reduce the extent of dispersion by flattening the velocity profile when the heavier fluid is on the bottom in upflow. The velocity profile is elongated and the dispersion coefficient is increased when the bottom fluid is lighter than the one it displaces in upflow. Wiley InterScience Backfile Collection 1832-2000 Posner, Martin oth Gill, William N. oth in AIChE Journal Hoboken, NJ : Wiley 19(1973) vom: Jan., Seite 151-158 (DE-627)NLEJ159070651 (DE-600)2020333-0 0001-1541 nnns volume:19 year:1973 month:01 pages:151-158 extent:8 http://dx.doi.org/10.1002/aic.690190122 text/html Deutschlandweit zugänglich GBV_USEFLAG_U ZDB-1-WIS GBV_NL_ARTICLE AR 19 1973 1 151-158 8 |
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miscible displacement with combined free and forced convection: laminar flow in a vertical tube |
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Miscible displacement with combined free and forced convection: Laminar flow in a vertical tube |
| abstract |
An approximate analysis is given for miscible displacement in vertical tubes when density differences between the displaced and displacing fluids give rise to buoyancy forces which affect the velocity distribution significantly. The results of this analysis agree with the available experimental data fairly uniformly over the range of parameters studied experimentally.By analogy with studies of heat transfer in vertcal tubes it is concluded that both cases studied, when a lighter fluid displaces a heavier fluid in upflow, or when the heavier fluid is below the lighter fluid, are potentially unstable flows because buoyancy forces can create points of inflection in the velocity profile; stagnation at the wall also is predicted for upflow when the lighter fluid is on the bottom initially, and this has been observed to induce a sudden transition to turbulence in heat transfer systems.Buoyancy forces reduce the extent of dispersion by flattening the velocity profile when the heavier fluid is on the bottom in upflow. The velocity profile is elongated and the dispersion coefficient is increased when the bottom fluid is lighter than the one it displaces in upflow. |
| abstractGer |
An approximate analysis is given for miscible displacement in vertical tubes when density differences between the displaced and displacing fluids give rise to buoyancy forces which affect the velocity distribution significantly. The results of this analysis agree with the available experimental data fairly uniformly over the range of parameters studied experimentally.By analogy with studies of heat transfer in vertcal tubes it is concluded that both cases studied, when a lighter fluid displaces a heavier fluid in upflow, or when the heavier fluid is below the lighter fluid, are potentially unstable flows because buoyancy forces can create points of inflection in the velocity profile; stagnation at the wall also is predicted for upflow when the lighter fluid is on the bottom initially, and this has been observed to induce a sudden transition to turbulence in heat transfer systems.Buoyancy forces reduce the extent of dispersion by flattening the velocity profile when the heavier fluid is on the bottom in upflow. The velocity profile is elongated and the dispersion coefficient is increased when the bottom fluid is lighter than the one it displaces in upflow. |
| abstract_unstemmed |
An approximate analysis is given for miscible displacement in vertical tubes when density differences between the displaced and displacing fluids give rise to buoyancy forces which affect the velocity distribution significantly. The results of this analysis agree with the available experimental data fairly uniformly over the range of parameters studied experimentally.By analogy with studies of heat transfer in vertcal tubes it is concluded that both cases studied, when a lighter fluid displaces a heavier fluid in upflow, or when the heavier fluid is below the lighter fluid, are potentially unstable flows because buoyancy forces can create points of inflection in the velocity profile; stagnation at the wall also is predicted for upflow when the lighter fluid is on the bottom initially, and this has been observed to induce a sudden transition to turbulence in heat transfer systems.Buoyancy forces reduce the extent of dispersion by flattening the velocity profile when the heavier fluid is on the bottom in upflow. The velocity profile is elongated and the dispersion coefficient is increased when the bottom fluid is lighter than the one it displaces in upflow. |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">NLEJ159471354</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20210707010613.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">070201s1973 xx |||||o 00| ||eng c</controlfield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)NLEJ159471354</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Miscible displacement with combined free and forced convection: Laminar flow in a vertical tube</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">1973</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="b">6 Ill.</subfield><subfield code="b">1 Tab.</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">8</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">zzz</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">z</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">zu</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">An approximate analysis is given for miscible displacement in vertical tubes when density differences between the displaced and displacing fluids give rise to buoyancy forces which affect the velocity distribution significantly. The results of this analysis agree with the available experimental data fairly uniformly over the range of parameters studied experimentally.By analogy with studies of heat transfer in vertcal tubes it is concluded that both cases studied, when a lighter fluid displaces a heavier fluid in upflow, or when the heavier fluid is below the lighter fluid, are potentially unstable flows because buoyancy forces can create points of inflection in the velocity profile; stagnation at the wall also is predicted for upflow when the lighter fluid is on the bottom initially, and this has been observed to induce a sudden transition to turbulence in heat transfer systems.Buoyancy forces reduce the extent of dispersion by flattening the velocity profile when the heavier fluid is on the bottom in upflow. The velocity profile is elongated and the dispersion coefficient is increased when the bottom fluid is lighter than the one it displaces in upflow.</subfield></datafield><datafield tag="533" ind1=" " ind2=" "><subfield code="f">Wiley InterScience Backfile Collection 1832-2000</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Posner, Martin</subfield><subfield code="4">oth</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Gill, William N.</subfield><subfield code="4">oth</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">in</subfield><subfield code="t">AIChE Journal</subfield><subfield code="d">Hoboken, NJ : Wiley</subfield><subfield code="g">19(1973) vom: Jan., Seite 151-158</subfield><subfield code="w">(DE-627)NLEJ159070651</subfield><subfield code="w">(DE-600)2020333-0</subfield><subfield code="x">0001-1541</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:19</subfield><subfield code="g">year:1973</subfield><subfield code="g">month:01</subfield><subfield code="g">pages:151-158</subfield><subfield code="g">extent:8</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">http://dx.doi.org/10.1002/aic.690190122</subfield><subfield code="q">text/html</subfield><subfield code="z">Deutschlandweit zugänglich</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_U</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-1-WIS</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_NL_ARTICLE</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">19</subfield><subfield code="j">1973</subfield><subfield code="c">1</subfield><subfield code="h">151-158</subfield><subfield code="g">8</subfield></datafield></record></collection>
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