Effect of length scale on expressing the results of unsteady naturalconvective heat transfer from thin horizontal plates of simple and complexshapes
Bibliographic record
Abstract
Abstract: This investigation focuses on the use of a length scale on presenting the results of numerical studies of the natural convective heat transfer from thin horizontal plates of simple and complex shapes in both steady and unsteady states. Commercial CFD software ANSYS FLUENT was used to obtain the results presented in this study. To incorporate the effect of temperature on fluid density, the Boussinesq approximation was used. The Rayleigh number was varied between laminar values at 102 and transitional flow values at the Rayleigh number of 105. Two characteristic length scales were used for expressing the variation of Nusselt number and the Rayleigh number. These length scales were square root of surface area (Root Area) of a single side and 4*Total surface area/Total perimeter (4A/P). From the transient Nusselt number variations obtained for simple and complex shapes, it was noted that when Root Area was used as the length scale, all shapes had distinctly different Nusselt number variations with dimensionless time at all Rayleigh numbers. However, when 4A/P was used as length scale, a good overlap was obtained for the results for all shapes in the steady and unsteady state for lower Rayleigh numbers. At higher Rayleigh numbers, the Nusselt number variations again diverged for various shapes.
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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".