An algorithm for estimating radial gas holdup profiles in bubble columns from chordal densitometry measurements
Bibliographic record
Abstract
Abstract γ‐ray densitometry (also referred to as “column scanning” in industrial troubleshooting applications) is a non‐invasive, simple, and relatively inexpensive technique for measuring time‐averaged holdup profiles in multiphase flow systems. Most often, the projection data measured in densitometry is “chordal,” and not “radial,” owing to limitations of experimentation, particularly in challenging industrial environments. However, most of the theory of design and scale‐up is based on “radial profiles” of phase holdups and velocity. The inter‐conversion of chordal profiles to radial profiles is non‐trivial and often prone to error propagation, particularly when the number of projection scans is small. In this work, we propose an algorithm for estimating radial gas holdup profiles, which is not subject to error propagation since we use only the direct (forward) Abel transformation process. Details of the algorithm are discussed. As a test case, γ‐ray densitometry experiments performed on a bubble column are presented.
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How this classification was reachedexpand
Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| 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 | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 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 teacher head, 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".