Effect of aspect ratio on three-dimensional natural convection in a horizontal enclosure with a uniform heat flux on the lower surface
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Bibliographic record
Abstract
Flow in a rectangular enclosure with horizontal upper and lower walls and vertical side walls and with a uniform heat flux applied across the lower horizontal surface and with the upper horizontal surface cooled to a uniform low temperature has been numerically studied. The length of one side of the horizontal cross-section is equal to the height of the enclosure while the length of the other side is in general different from the height of the enclosure. The enclosure aspect ratio is here defined as the ratio of the lengths of the sides of the horizontal cross-section. The vertical side-walls of the enclosure are adiabatic. It has been assumed that the flow is laminar and that the fluid properties are constant except for the density change with temperature which gives rise to the buoyancy forces. The unsteady forms of the dimensionless governing equations have been solved using a finite-difference procedure. The solution, in general, has the following parameters: the heat flux Rayleigh number, the Prandtl number and the aspect ratio of the horizontal cross-sectional shape. Results have only been obtained for a Prandtl number of 0.7, for Rayleigh number of up to 30000 and for aspect ratios of between 0.5 and 3. The results have been used to determine the effect of the governing parameters on the conditions under which fluid motion develops in the enclosure and to examine the flow patterns that arise in the enclosure.
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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 | 0.002 | 0.000 |
| Meta-epidemiology (narrow) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.000 | 0.001 |
| Scholarly communication | 0.000 | 0.001 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.001 |
| 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