Thermal Modeling of Air Gaps on the Cooling Capacity of Finger Coolers in an Electric Smelting Furnace
Bibliographic record
Abstract
AbstractAbstractWhile water cooling systems are used to freeze a slag layer on the refractory sidewall to prevent refractory erosion by the molten slag, it should not remove excessive thermal energy from the electric smelting furnace. One and three-dimensional thermal mathematical models are used to examine conditions where a solid slag layer will form on the refractory. The effect and sensitivity of an air gap between the copper cooling finger and the refractory is examined from the slag solidification perspective. Will a protective slag solidify on the refractory? Other issues examined include copper finger tip temperature, number of fingers per unit transverse area versus larger fingers, location of finger tip into the furnace wall and from the slag interface (depth of penetration) and maximum operating sidewall heat flux q max where no protective slag layer is formed. These are important factors that affect cooling finger placement in the electric smelting furnace. A 1 mm air gap can potentially decrease the water cooling capacity by 30%.Bien que les systémes de refroidissement à l'eau soient utilisés pour solidifier une couche de scorie sur la paroi du réfractaire pour en empêcher l'érosion par la scorie fondue, ceux-ci ne devraient pas enlever excessivement d'énergie thermique du four électrique. On utilise des modéles mathématiques thermiques uni- et tridimensionnels pour examiner les conditions dans lesquelles une couche de scorie solide peut se former sur le réfractaire. On examine l'effet et la sensibilité d'un espace d'air entre le “doigt” de refroidissement en cuivre et le réfractaire, de la perspective de solidification de la scorie, i.e. à savoir si une scorie protectrice se solidifiera sur le réfractaire. D'autres points examinés incluent: la température du bout du doigt de cuivre; le nombre de doigts par unité de surface transverse par rapport à de gros doigts; l'emplacement du bout du doigt dans la paroi du four, à distance de l'interface de scorie (profondeur de pénétration); flux maximum de chaleur d'opération, qmax, de la paroi où aucune couche protectrice de scorie n'est formée. Ceux-ci sont des facteurs importants qui affectent le positionnement du doigt de refroidissement dans le four électrique. Un espace d'air de 1 mm peut diminuer potentiellement de 30% la capacité de refroidissement de l'eau.
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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 | 0.000 |
| 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 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".