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.
Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.
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".