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A positron emission particle tracking investigation of the scaling law governing free surface flows in tumbling mills
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| Zeitschriftentitel: | AIChE Journal |
|---|---|
| Personen und Körperschaften: | , , , |
| In: | AIChE Journal, 63, 2017, 3, S. 903-913 |
| Format: | E-Article |
| Sprache: | Englisch |
| veröffentlicht: |
Wiley
|
| Schlagwörter: |
| author_facet |
Govender, Indresan Richter, Max C. Mainza, Aubrey N. De Klerk, David N. Govender, Indresan Richter, Max C. Mainza, Aubrey N. De Klerk, David N. |
|---|---|
| author |
Govender, Indresan Richter, Max C. Mainza, Aubrey N. De Klerk, David N. |
| spellingShingle |
Govender, Indresan Richter, Max C. Mainza, Aubrey N. De Klerk, David N. AIChE Journal A positron emission particle tracking investigation of the scaling law governing free surface flows in tumbling mills General Chemical Engineering Environmental Engineering Biotechnology |
| author_sort |
govender, indresan |
| spelling |
Govender, Indresan Richter, Max C. Mainza, Aubrey N. De Klerk, David N. 0001-1541 1547-5905 Wiley General Chemical Engineering Environmental Engineering Biotechnology http://dx.doi.org/10.1002/aic.15453 <jats:p>Positron Emission Particle Tracking (PEPT) measurements are used to track the flow of <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/aic15453-math-0001.png" xlink:title="urn:x-wiley:00011541:media:aic15453:aic15453-math-0001" /> glass beads within a rotating drum fitted with (and without) lifter bars and operated in the cascading and cataracting Froude regimes. After converting the Lagrangian trajectories of a representative radio‐labeled glass bead (the tracer) into Eulerian fields under the ergodic assumption, the bed shape and kinematics are extracted for steady, fully developed flow conditions. Notwithstanding the azimuthal wall effects introduced by the lifter bars, we show a linear scaling <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/aic15453-math-0002.png" xlink:title="urn:x-wiley:00011541:media:aic15453:aic15453-math-0002" /> of the local flowing layer thickness (h) with local depth‐averaged velocity <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/aic15453-math-0003.png" xlink:title="urn:x-wiley:00011541:media:aic15453:aic15453-math-0003" /> and a constant average shear <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/aic15453-math-0004.png" xlink:title="urn:x-wiley:00011541:media:aic15453:aic15453-math-0004" /> for direct measurements spanning the entire flowing layer (not just the central region), and high Froude regimes (cascading and cataracting) not previously investigated by scaling analysis in the literature. © 2016 American Institute of Chemical Engineers <jats:italic>AIChE J</jats:italic>, 63: 903–913, 2017</jats:p> A positron emission particle tracking investigation of the scaling law governing free surface flows in tumbling mills AIChE Journal |
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| title |
A positron emission particle tracking investigation of the scaling law governing free surface flows in tumbling mills |
| title_unstemmed |
A positron emission particle tracking investigation of the scaling law governing free surface flows in tumbling mills |
| title_full |
A positron emission particle tracking investigation of the scaling law governing free surface flows in tumbling mills |
| title_fullStr |
A positron emission particle tracking investigation of the scaling law governing free surface flows in tumbling mills |
| title_full_unstemmed |
A positron emission particle tracking investigation of the scaling law governing free surface flows in tumbling mills |
| title_short |
A positron emission particle tracking investigation of the scaling law governing free surface flows in tumbling mills |
| title_sort |
a positron emission particle tracking investigation of the scaling law governing free surface flows in tumbling mills |
| topic |
General Chemical Engineering Environmental Engineering Biotechnology |
| url |
http://dx.doi.org/10.1002/aic.15453 |
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2017 |
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<jats:p>Positron Emission Particle Tracking (PEPT) measurements are used to track the flow of
<jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/aic15453-math-0001.png" xlink:title="urn:x-wiley:00011541:media:aic15453:aic15453-math-0001" /> glass beads within a rotating drum fitted with (and without) lifter bars and operated in the cascading and cataracting Froude regimes. After converting the Lagrangian trajectories of a representative radio‐labeled glass bead (the tracer) into Eulerian fields under the ergodic assumption, the bed shape and kinematics are extracted for steady, fully developed flow conditions. Notwithstanding the azimuthal wall effects introduced by the lifter bars, we show a linear scaling
<jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/aic15453-math-0002.png" xlink:title="urn:x-wiley:00011541:media:aic15453:aic15453-math-0002" /> of the local flowing layer thickness (h) with local depth‐averaged velocity
<jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/aic15453-math-0003.png" xlink:title="urn:x-wiley:00011541:media:aic15453:aic15453-math-0003" /> and a constant average shear
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| description | <jats:p>Positron Emission Particle Tracking (PEPT) measurements are used to track the flow of <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/aic15453-math-0001.png" xlink:title="urn:x-wiley:00011541:media:aic15453:aic15453-math-0001" /> glass beads within a rotating drum fitted with (and without) lifter bars and operated in the cascading and cataracting Froude regimes. After converting the Lagrangian trajectories of a representative radio‐labeled glass bead (the tracer) into Eulerian fields under the ergodic assumption, the bed shape and kinematics are extracted for steady, fully developed flow conditions. Notwithstanding the azimuthal wall effects introduced by the lifter bars, we show a linear scaling <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/aic15453-math-0002.png" xlink:title="urn:x-wiley:00011541:media:aic15453:aic15453-math-0002" /> of the local flowing layer thickness (h) with local depth‐averaged velocity <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/aic15453-math-0003.png" xlink:title="urn:x-wiley:00011541:media:aic15453:aic15453-math-0003" /> and a constant average shear <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/aic15453-math-0004.png" xlink:title="urn:x-wiley:00011541:media:aic15453:aic15453-math-0004" /> for direct measurements spanning the entire flowing layer (not just the central region), and high Froude regimes (cascading and cataracting) not previously investigated by scaling analysis in the literature. © 2016 American Institute of Chemical Engineers <jats:italic>AIChE J</jats:italic>, 63: 903–913, 2017</jats:p> |
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| spelling | Govender, Indresan Richter, Max C. Mainza, Aubrey N. De Klerk, David N. 0001-1541 1547-5905 Wiley General Chemical Engineering Environmental Engineering Biotechnology http://dx.doi.org/10.1002/aic.15453 <jats:p>Positron Emission Particle Tracking (PEPT) measurements are used to track the flow of <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/aic15453-math-0001.png" xlink:title="urn:x-wiley:00011541:media:aic15453:aic15453-math-0001" /> glass beads within a rotating drum fitted with (and without) lifter bars and operated in the cascading and cataracting Froude regimes. After converting the Lagrangian trajectories of a representative radio‐labeled glass bead (the tracer) into Eulerian fields under the ergodic assumption, the bed shape and kinematics are extracted for steady, fully developed flow conditions. Notwithstanding the azimuthal wall effects introduced by the lifter bars, we show a linear scaling <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/aic15453-math-0002.png" xlink:title="urn:x-wiley:00011541:media:aic15453:aic15453-math-0002" /> of the local flowing layer thickness (h) with local depth‐averaged velocity <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/aic15453-math-0003.png" xlink:title="urn:x-wiley:00011541:media:aic15453:aic15453-math-0003" /> and a constant average shear <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/aic15453-math-0004.png" xlink:title="urn:x-wiley:00011541:media:aic15453:aic15453-math-0004" /> for direct measurements spanning the entire flowing layer (not just the central region), and high Froude regimes (cascading and cataracting) not previously investigated by scaling analysis in the literature. © 2016 American Institute of Chemical Engineers <jats:italic>AIChE J</jats:italic>, 63: 903–913, 2017</jats:p> A positron emission particle tracking investigation of the scaling law governing free surface flows in tumbling mills AIChE Journal |
| spellingShingle | Govender, Indresan, Richter, Max C., Mainza, Aubrey N., De Klerk, David N., AIChE Journal, A positron emission particle tracking investigation of the scaling law governing free surface flows in tumbling mills, General Chemical Engineering, Environmental Engineering, Biotechnology |
| title | A positron emission particle tracking investigation of the scaling law governing free surface flows in tumbling mills |
| title_full | A positron emission particle tracking investigation of the scaling law governing free surface flows in tumbling mills |
| title_fullStr | A positron emission particle tracking investigation of the scaling law governing free surface flows in tumbling mills |
| title_full_unstemmed | A positron emission particle tracking investigation of the scaling law governing free surface flows in tumbling mills |
| title_short | A positron emission particle tracking investigation of the scaling law governing free surface flows in tumbling mills |
| title_sort | a positron emission particle tracking investigation of the scaling law governing free surface flows in tumbling mills |
| title_unstemmed | A positron emission particle tracking investigation of the scaling law governing free surface flows in tumbling mills |
| topic | General Chemical Engineering, Environmental Engineering, Biotechnology |
| url | http://dx.doi.org/10.1002/aic.15453 |