Bibliographic record
Abstract
The particle-modified velocity field of a rotating particulate fluid on a co-rotating disk is studied. Unlike a clear fluid, which admits pure rigid-body rotation with a zero radial velocity component, it is shown here that an unbounded particle-laden fluid does not admit pure rigid-body rotation. An exact solution is given for an unbounded rotating particle-laden fluid, which contains a non-zero radial velocity component and cannot meet the no-slip boundary conditions on a disk co-rotating at the same angular velocity. Explicit leading-order solutions are derived for the particle-modified velocity field of a rotating particulate fluid on a co-rotating disk. It is shown that the disturbed radial and azimuthal velocities due to the co-rotating disk are oscillatory and decay exponentially with the distance from the disk, while the disturbed axial velocity approaches a constant at infinity. The derived formula is used to discuss the radial, azimuthal, and axial velocities of dispersed particles and their effects on the rotational flow of the rotating particle-laden fluid.
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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) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.001 | 0.000 |
| Science and technology studies | 0.001 | 0.001 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.001 | 0.000 |
| Insufficient payload (model declined to judge) | 0.001 | 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".