A theory for drag partition over rough surfaces
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Bibliographic record
Abstract
We present a theory for drag partition over rough surfaces of arbitrary roughness density. The total drag is partitioned into a pressure drag, a ground‐surface drag, and a roughness‐element‐surface skin drag. The theory is simple but allows for the estimations of drag partition functions, friction velocity, zero‐displacement height, and roughness length. The model estimates of these quantities are compared with observations and the model is found to perform well. The theory explains several known facts from observations such as the dependency of aerodynamic roughness length on roughness density. It is shown that drag partition is governed entirely by two functions f r and f s which represent the dependencies of surface drag coefficient and the roughness drag coefficient on roughness density. Under the condition of f r = f s , the Raupach (1992) model is derived without assumptions in addition to the drag laws.
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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 | 0.001 |
| 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) | 0.001 | 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 it