On the hydrodynamic stability of pulsatile flow in a plane channel
Bibliographic record
Abstract
A linear stability analysis is undertaken for plane pulsatile Poiseuille flow. The stability picture is described in terms of two distinct ranges of the Womersley number, Wo, which is the ratio of pulsatile to viscous forces. The low-frequency range, termed precritical, has dominant viscous effects, while the high-frequency range, termed postcritical, has dominant inertial effects. A critical Womersley number, Wocr=1.107, is identified, where viscous and inertial forces are in balance. In the precritical range, viscous forces become rapidly dominated by impulse forces, resulting in a sharp drop of the critical Reynolds number with increasing Wo. In the postcritical range, inertial forces become increasingly dominant over impulse forces, resulting in flow stabilization. In the limits Wo→0 and Wo→∞, the flow recovers the stability characteristics of the steady base flow, independently of the pressure amplitude. In other words, pulsating the flow is always destabilizing. The results reported in the postcritical range are in agreement with existing theoretical and experimental works.
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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 | 0.001 |
| 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 | 0.000 |
| 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 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".