Marangoni convection in a hemispheric molten silicon droplet and its control by an applied magnetic field
Bibliographic record
Abstract
A numerical simulation study was conducted for the "sessile drop method" that is one of the essential tools for conducting measurements of physical properties in droplets. The effect of the Marangoni convection on the maximum flow velocity in a hemispheric molten silicon droplet was examined. The maximum Reynolds number was correlated with the Marangoni and Biot numbers, and the surrounding temperature by Re_{max}= [-209.4{T_a(&pi;/2)/T_{mp}} + 216.8] … (BiMa)(when BiMa < 40) and Re_{max} = [-472.5{T_a(&pi;/2)/T_{mp}} + 491.3] …(BiMa) ^{2/3} (when BiMa > 40). Simulation results show that the application of a vertical magnetic field can suppress the flow in the droplet near the plate, and consequently prevent the movement of the drop, and give rise to a diffusion-limited-condition near the plate where accurate measurements of the physical properties of a melt can be made.
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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".