Experimental investigation of flow development and gap vortex street in an eccentric annular channel. Part 2. Effects of inlet conditions, diameter ratio, eccentricity and Reynolds number
Bibliographic record
Abstract
The development and structure of flows in eccentric annular channels and their dependence on inlet conditions, inner-to-outer diameter ratio $d/D$ , eccentricity $e=2{\rm\Delta}y/(D-d)$ , where ${\rm\Delta}y$ is the distance between the axes of the inner and outer cylinders, and Reynolds number $\mathit{Re}$ , based on the hydraulic diameter and the bulk velocity, were studied experimentally, with focus on the phenomena of gap instability and the resulting vortex street. Experimental conditions covered a Reynolds number range between 0 and 19 000, an eccentricity range from 0 to 0.9 and inner-to-outer diameter ratios equal to 0.25, 0.50 and 0.75. Much of the discussion is based on measurements in the middle of the narrow annular gap, where the phenomena of interest could be observed most vividly. In the range $\mathit{Re}<10\,000$ , the Strouhal number, the normalized mid-gap axial flow velocity and the normalized axial and cross-flow fluctuations at mid-gap were found to increase with increasing $\mathit{Re}$ and to depend strongly on inlet conditions. At higher Reynolds numbers, however, these parameters reached asymptotic values that were less sensitive to inlet conditions. We constructed a map for the various stages of periodic motions versus eccentricity and Reynolds number and found that for $e<0.5$ or $\mathit{Re}<1100$ the flow was unconditionally stable, as far as gap instability is concerned. For $e\leqslant 0.5$ , transition to turbulence occurred at $\mathit{Re}\approx 6000$ , whereas, for $0.6\leqslant e\leqslant 0.9$ , the critical Reynolds number for the formation of periodic motions was found to increase with eccentricity from 1100 for $e=0.6$ to 3800 for $e=0.9$ .
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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".