Influence of inertia and topography in thin-cavity flow
Bibliographic record
Abstract
The influence of inertia and cavity topography is examined for the steady-state flow inside thin cavities of arbitrary shape. The problem is closely related to the die casting process. The flow is determined by solving the thin-film equations, using a coupled spectral/finite-difference method. The flows inside flat, contracting, and modulated cavities of rectangular cross section are examined. The interplay between inertia and cavity modulation is particularly emphasized. Regions of shear and elongation are identified; their size and location are strongly dependent on inertia and cavity thickness. The flow inside a grooved cavity (of nonrectangular cross section) is also investigated. In this case, the problem reduces to Poisson’s equation for the streamwise velocity component, and an exact solution is obtained, which is compared against the thin-film solution. The range of validity of the thin-film approximation is thus identified, and is influenced by the cross-section aspect ratio, the modulation (groove) amplitude and wavelength.
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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".