Bibliographic record
Abstract
The flow in an annulus driven by the axial movement of one of the cylinders has been studied. The stationary cylinder has been fitted with axisymmetric ribs resulting in the appearance of the centrifugal-force-driven instability which leads to the formation of axial vortices. The critical stability conditions have been determined for a wide range of geometries of practical interest; these conditions include the critical Reynolds number as well as the best vortex packing. It has been shown that a sufficiently large increase of the ribs’ wavelength leads to a flow stabilization as the flow becomes nearly rectilinear, thus reducing the strength of the centrifugal force field. It has also been demonstrated that a sufficiently large decrease of the ribs’ wavelength similarly results in the flow stabilization as the stream lifts up above the ribs’ peaks and becomes more rectilinear. Reduction of the annulus’ radius leads to qualitatively different flow responses depending on the position of the moving cylinder. The critical Reynolds number is reduced and the range of the ribs’ wave numbers capable of inducing the instability is increased when the outer cylinder drives the flow. The trend is reversed when the inner cylinder drives the flow. Conditions when the ribbed cylinder is unable to induce any instability and, thus, behaves as a hydraulically smooth cylinder have been identified.
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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".