Bénard convection with rotation and a periodic temperature distribution
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Bibliographic record
Abstract
This study investigates the effects of a sinusoidally varying temperature distribution and rotation on free convection between two rigid plates. The domain is assumed to be much larger in the horizontal direction than in the vertical direction, which naturally introduces a small parameter. An approximate analytical solution for the steady-state flow is derived by expanding the flow variables in the small parameter. The steady-state solution was also determined numerically using the commercial CFD software package CFX. A comparison of the results shows that the form of the steady-state flow pattern is indeed captured by the approximate analytical solution. Unsteady numerical calculations are also carried out for various sets of parameters to determine when the flow destabilizes, how the modulated temperature boundary condition and rotation affect the critical Rayleigh number, and also to illustrate the flow pattern that develops when the flow becomes unstable.
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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