Spreading Resistance in Multilayered Orthotropic Flux Channel with Temperature-Dependent Thermal Conductivities
Bibliographic record
Abstract
Anisotropic materials have received remarkable attention in the development of microelectronic devices. In many materials, the thermal conductivities are temperature-dependent and usually are approximated by constant thermal conductivities when considering thermal analysis. In this paper, analytical solutions of the temperature rise and the thermal resistance of a multilayered three-dimensional flux channel with orthotropic temperature-dependent thermal conductivities are addressed by means of the Kirchhoff transform, which is considered as a powerful method for dealing with nonlinear conduction problems with temperature-dependent thermal conductivities. A single eccentric heat source is considered in the source plane of the flux channel, where heat enters the system and flows by conduction through the layers to reach a convective heat sink with uniform heat transfer coefficient. The solutions are extended to account for multiple eccentric heat sources in the source plane. Further, the analytical solutions have been validated by solving the problem numerically with 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".