Film flow with temperature dependent fluid properties over heated inclined surfaces
Bibliographic record
Abstract
The gravity driven film flow down a heated inclined ramp and how it is affected by temperature dependent fluid properties is examined. The five temperature dependent fluid properties examined were: surface tension, mass density, dynamic viscosity, thermal conductivity and specific heat capacity. The investigation utilized a theoretical model based on the conservation of mass, momentum and energy, including the physically appropriate Newton's Law of Cooling to incorporate temperature changes on the surface of the film. A two-scale model of his system was also considered and a Benney equation was derived. A depth-integrated model was also considered and modified Integral Boundary layer (IBL) equations were generated. A linear stability analysis was carried out in all cases. Numberical simulations were carried out on the nonlinear modified IBL equations and their agreement to the linear approximations was good. The nonlinear analysis was also used to determine the evolution of the unstable flow.
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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) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 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 | 0.001 | 0.001 |
| 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".