Electric field in a hexagonal cylinder electrostatic precipitator
Bibliographic record
Abstract
A conformal mapping method is used for the theoretical determination of the electric field intensity in an electrostatic precipitator module consisting of a hexagonal-cylinder outer envelope and a thin, stressed, centered electrode. The interior of the hexagonal cylinder (its cross section) is mapped conformally onto the interior of a unit circle using a suitable Schwarz-Christoffel transformation. Lines of constant potential inside the hexagonal enclosure are obtained as the images of constant potential circles within the unit circle. The field configuration supported by the cylindrical precipitator are compared to those of circular-cylinder and planar structures with regard to the predictability of performance, efficiency, ease of scaling, and field homogeneity. The technique used offers simplicity as its main advantage. The results suggest that the hexagonal cylinder precipitator combines the advantages of the circular-cylinder and the planar structures. In addition, the hexagonal module has good mechanical properties and is inexpensive. A precipitator of a large capacity and predictable behavior can be created out of a number of identical hexagonal modules.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>
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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 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.001 |
| 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".