Effect of the fluid velocity change on the linear stability of plane Poiseille flow
Bibliographic record
Abstract
The numerical simulation has been done for the linear stability of plane Poiseille flow by varying the fluid velocity in the local flowing field. The analysis of the results showed that the influence of varying the fluid velocity on the linear stability bears some common characteristics. The relation curves between the unstable zone area encircled by the neutral curves and the different normal coordinates can be divided into four different functional regions, the approximately unchanged region of neutral curves, the region trending to stability, the region trending to instability, the obscure region trending to stability or instability. The susceptible region of stability change is made of the region trending to stability and the region trending to instability or unstable region. But that in which form the flowing field changes the unstable zone area encircled by the neutral curves depends on the forms of velocity changes. This study result will provide a fine platform for both the experimental study of the hydrodynamic stability and the further improvement of the coalescence theory.
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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 | 0.001 | 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".