Temporal instability of a capillary jet with a source of mass
Bibliographic record
Abstract
The temporal linear instability of an inviscid capillary liquid jet with a source of mass is investigated. Two different spatial mass distributions are considered. In the first case, mass is added uniformly everywhere in the jet. In the second case, mass is added uniformly in the radial direction, but allowed to change along the axial direction. The problem is solved using a one-dimensional approximation for the capillary jet. An analytical solution for the steady basic flow of a jet with a small source of mass is obtained. The dispersion relation and the growth rate of the disturbances are obtained analytically for small source terms. The influence of the mass addition on the instability characteristics, the breakup time, and the breakup length of a jet are presented. It is shown that the mass addition decreases the rate of growth of the disturbances. The mass addition increases the breakup time and decreases the breakup length. Also, the sizes of the generated drops increase with increasing the source of mass.
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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".