Laminar Forced Convection Modeling of Isothermal Rectangular Plates
Bibliographic record
Abstract
A composite model for area-average Nusselt number for forced, laminar ow parallel to a nite, isothermal rectangular plate for a wide range of Reynolds numbers is proposed. The correlation equation is based on the superposition of the dimensionless shape factor and a modi ed laminar ow boundary-layer asymptote with an empirically determined interpolation parameter. The Nusselt and Reynolds numbers and the dimensionless shape factor are based on either the rectangle side dimension parallel to the ow direction or the square root of the heat transfer area. The proposed correlation equationsare applicable to rectangles with side dimensionratios in a range from 1 to 10. Extensive numerical results were used to nd the optimal values of the interpolation parameter to provide close agreement between the correlation equation predictions and the numerical values. Nomenclature A = plate surface area,´L £W, m2 C;CT = boundary-layersolution coef cients F.Pr / = Prandtl number function, Eq. (14) h = convective coef cient, W/m2K k = thermal conductivity,W/mK L = long plate dimension, m L = general length scale, m NuL = Nusselt number,´QL=kA.Tw ¡ T1/ n = interpolationparameter, Eq. (18)
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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".