Multi-Bubble Transient Dynamics under Inclined Carbon Anodes Using an Air–Water Model of the Hall–Héroult Electrolytic Cell
Bibliographic record
Abstract
We developed a novel one-fifth-scale, low-temperature air–water model of the Hall–Héroult cell that preserves geometric, kinematic, and dynamic similarity with industrial conditions. High-speed imaging captured key bubble dynamics under varying anode inclinations (0–6°) beneath a scaled prebaked carbon anode, revealing that increased inclination enhances buoyancy, reduces bubble size and thickness, limits coalescence, and accelerates detachment. Streamline analysis shows consistent bubble release from the downstream corner, with the velocity increasing near the release zone. Vorticity fields indicate stronger vortices at anode edges, while shear and strain rates reveal greater velocity gradient variations, promoting longitudinal acceleration. Statistical analysis highlights transitions in bubble growth distributions and confirms buoyancy-driven detachment. Increasing the inclination significantly reduces bubble coverage, resistance, and residence time, with the most pronounced effect at 1°. Finally, transient velocity analysis shows peak velocities at the release area and lowest at the generation site, with inclined anodes enhancing turbulence and horizontal anodes exhibiting random velocity fluctuations.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.001 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".