Bibliographic record
Abstract
Two dimensional, steady-state rivulet flow down an inclined plane, and combined rivulet/air flow i n a circular pipe are studied. Both asymptotic analysis and numerical methods are used to solve the Navier-Stoke equations for rivulet flow down an inclined plane. Asymptotic approximation, which is valid only for rivulet of large cross-sectional aspect ratios, is substantiated by exact numerical solutions up to specified error tolerance. Standard shooting techniques are used to solve ODE for rivulet shape and finite element methods are used to approximate the flow velocity. The stability of the rivulet flow is also studied based on energy criterion. We find that pure gravity driven rivulets are subject to break up and pure shear driven rivulets are stable in that sense. For the combined air/rivulet flow, the relationship between pressure gradients and fluxes is investigated using the annulus rivulet and circular arc rivulet models. The annulus rivulet model is solved analytically, and the circular arc rivulet is computed using FEMLAB . It is found that pressure gradient needed to drive the rivulet flow is much more sensitive to change in channel size than to change in contact angle. Finally, linear stability analysis of the combined air/rivulet flow in a rectangular domain is formulated.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.002 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.001 | 0.000 |
| Science and technology studies | 0.000 | 0.001 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.000 | 0.001 |
| Research integrity | 0.001 | 0.000 |
| Insufficient payload (model declined to judge) | 0.002 | 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 source (direct Gemma or distilled Codex), 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".