Transient Thermal Spreading From a Circular Heat Source in Polygonal Flux Channels
Bibliographic record
Abstract
Abstract Thermal spreading or constriction resistance plays an important role in thermal engineering problems. A numerical simulation is developed for transient constriction resistance considering various semi-infinite flux channel geometries, including circle on circle, circle on triangle, circle on square, circle on pentagon, and circle on hexagon. In this work, an isothermal circular heat source supplies heat in these polygonal flux channels. In this context, a finite volume method is considered to study the transient constriction resistance in mentioned geometries. After validating the steady-state mode for constant heat flux condition, the work is extended to study the transient heat conduction with constant temperature boundary condition. Observations of these various geometries clarify that similar results are produced for the non-dimensionalized constriction resistance and time. The appropriate characteristic length for this non-dimensionalization is the square root of the source area. Simple models are developed for predicting the transient spreading resistance for isothermal heat sources.
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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".