Compact Models for Transient Thermal Spreading Resistance in Half-space, Flux Tube, and Flux Channel Regions
Bibliographic record
Abstract
Transient thermal spreading resistance is of great importance in thermal management of electronic components and devices. A small number of solutions exist for heat sources on a half-space for isoflux or isothermal boundary conditions. In addition, a finite number of solutions exist for semi-infinite flux tubes and flux channels. In this paper we review the available solutions and propose simple compact models for each class of problems using asymptotic correlations. These models offer several advantages. First, they provide an efficient and easy prediction tool. Second, by taking advantage of an appropriate length scale, the models can be applied for heat sources of more complex shape for which no solutions exist. Finally, in the case of flux tubes and channels, these models provide a simpler alternative to the exact series solutions which often require many terms for convergence. Models are developed for both types of heat sources: isothermal and isoflux.
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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".