A Numerical Study of Mixed Convective Heat Transfer from a Parallel Fin Heat Sink
Bibliographic record
Abstract
*† The heat transfer rate from a simple parallel fin heat sink with air flowing over it has been numerically studied. The main intention of the study was to determine the conditions under which buoyancy force effects start to have a significant influence on the heat transfer rate, i.e., to determine the conditions under which mixed convective flow exists. In the flow situation being considered, the base of the heat sink is horizontal, the fins are vertical and there is a solid adiabatic plane surface above the heat sink, this surface being parallel to base of the heat sink. There is a forced air flow over the heat sink parallel to its base and to the fins. The flow has been assumed to be laminar and it is, of course, three-dimensional. The governing equations, written in dimensionless form, have been solved using a commercial finite element software package. Solutions have been obtained for a Prandtl number of 0.707. The heat sink fin height has been assumed to be equal to the length of the heat sink in the flow direction. The main parameters on which the solution depends are the Reynolds and Grashof numbers, the dimensionless fin spacing, the dimensionless fin thickness, and the dimensionless gap between the top of the fins and the upper adiabatic surface. The variations of the mean Nusselt number with the Reynolds and Grashof numbers have been determined for various values of the heat sink geometric parameters. These results have been used to determine the conditions under which the effects of the buoyancy forces start to have a significant influence on the heat transfer rate.
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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".