The total heat transfer rate in the evaporating thin film: A new analytical solution
Bibliographic record
Abstract
An evaporating meniscus is typically modeled as three distinct regions: the nonevaporating film, thin film , and intrinsic meniscus. Of these regions, the thin film has received much attention due to its elevated transport rates because of its relatively lower thickness, ability to be supplied liquid from considerable pressure gradients , and waning evaporative suppression. In the present study, a new analytical solution for the total steady heat transfer rate in the thin film region of an evaporating meniscus is developed. Unlike prior analytical models, the present model, for the first time, considers both evaporative suppression due to disjoining and capillary pressure in the thin film region. Additionally, the present model, for the first time, analytically considers different power models for the disjoining pressure , broadening its applicability when compared to prior analytical solutions. The present model agrees with available numerical data , outperforming prior analytical models and capturing most of the data within 10%.
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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 | 0.001 | 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 | 0.001 | 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".