A Proposed Solution for the Settling Velocity of Coplanar Aggregates of Identical Spheres in Creeping Motion.
This paper derives a solution for the settling velocity of isolated coplanar aggregates of n identical spherical particles in creeping motion based on the Wall Shear-Pressure Gradient-Expansion model (WPE) previously derived by the author. The solution is reached by developing geometry-equilibrium m...
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| Format: | Article |
| Language: | English |
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Isfahan University of Technology
2015-01-01
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| Series: | Journal of Applied Fluid Mechanics |
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| Online Access: | http://jafmonline.net/JournalArchive/download?file_ID=36931&issue_ID=222 |
| Summary: | This paper derives a solution for the settling velocity of isolated coplanar aggregates of n identical spherical particles in creeping motion based on the Wall Shear-Pressure Gradient-Expansion model (WPE) previously derived by the author. The solution is reached by developing geometry-equilibrium mathematical constructs to decide on the dimensions of the free ambient expansions surrounding the aggregates to compute the entire velocity profile. A rational to decide on the orientation and stability of rotation is also proposed. The results compare well with the outcome of available theory and some relevant data sets. |
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| ISSN: | 1735-3572 |