Existence Limits for Straight and Curved Interfaces Exposed to Temperature Gradients
Bibliographic record
Abstract
Distortion of capillary interfaces exposed to external heating is analyzed. This problem is of interest in material processing under zero gravity conditions and in thermal management of spacecrafts. The analysis is focused on a model problem where thermocapillary effect is the dominant driving force. Flow response to an external heating consists of convection in the liquid and interface deformation, with both effects being strongly coupled. Detailed results are presented in the case of cavity with a free upper surface. It is demonstrated that large interface deformation and rupture represent the dominant response of such dynamical system if the interface is sufficiently long. Flow conditions corresponding to the limits points have been identified. Limit points identify extreme values of flow parameters that guarantee the existence of steady continuous interface. It is shown that rupture can be delayed by changing the mass of the fluid, i.e., changing the initial shape of the interface.
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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".