Thermal Resistance of a Three-Dimensional Flux Channel with Two-Dimensional Variable Convection
Bibliographic record
Abstract
In the microelectronics industry, heat sinks are used for cooling microelectronic devices by transferring the heat generated by the device into an ambient fluid. In most applications, the heat convection along the sink plane is not uniform due to a nonuniform heat transfer coefficient that might be present according to a nonuniform distribution of the sink extended surfaces (fins or bins) or because of the nonuniform nature of a moving ambient fluid over the sink region. This can be observed when considering a jet impingement or transverse fans as cooling techniques. In this paper, analytical approximate solutions of the temperature field and the thermal resistance of a three-dimensional flux channel with eccentric heat source(s) and a variable heat transfer coefficient that varies in the two horizontal dimensions are developed. The method of the separation of variables combined with the method of least squares is used to develop these solutions. Different parametric studies are conducted to study the effect of two different variable heat transfer coefficient distributions on the dimensionless total thermal resistance of the channel and the temperature distribution along the source plane in comparison with using a uniform heat transfer coefficient. For verification reasons, the analytical results are compared with numerical solution results obtained based on the finite element method using the ANSYS commercial software package.
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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".