Numerical Understanding of Free Surface Vortex Driven by Rotational Field Inside Viscous Liquid
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Bibliographic record
Abstract
The present study established the genesis of free surface vortex inside a viscous liquid using a rotating cylindrical disc immersed in the liquid. The longitudinal axis of the disc is kept normal to the nominal interfacial plane and its rotation is characterized in terms of Froude number (1.50–4.49). This configuration is simulated using a grid-based volume of fluid technique in the air and high viscous polybutene pair. A dip in nominal interface profile is observed at low disc rotations (Froude number ≈ 1.50), however, the gradual progress of the rotational inertia (Froude number > 1.50) has resulted in elongation of the interface in the form of a free surface vortex progressing inside the liquid. The transient progress of vortex depicts bullet nose like interface tip during the early stages, which grows in the outward radial direction along with its downward motion due to the centrifugal effect of the surrounding liquid. The initial submergence ratio of the disc and its radius are shown as the important parameters governing the entrainment rate and shape of the vortex profiles. The physical understanding behind the formation of the vortex is revealed using axial and crosswise circulations of the surrounding liquid.
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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 it