Thermal Resistance of a Two Dimensional Flux Channel with Eccentric Heat Source and Asymmteric Edge Cooling
Bibliographic record
Abstract
In this paper, an analytical solution is presented for the temperature profile and thermal resistance of a non-symmetrical flux channel with convective cooling along the sink plane and edges. The heat transfer coefficients along the right and left edges of the channel are defined separately and both are independent from the heat transfer coefficient applied over the sink plane. The system is solved using the method of separation of variables. Due to the edge cooling and non-symmetry, the eigenvalues should be calculated using the heat transfer coefficient on both edges. For satisfying the orthogonality condition, a normalized function is defined. The temperature distribution over the channel is presented in the form of a Fourier series expansion and some expressions are presented to calculate the thermal resistance and dimensionless thermal resistance. Some case studies are considered and the results are compared with other literature and the Finite Element Method (FEM) using COMSOL commercial software package [1]. The proposed model is useful for thermal engineers who wish to model micro-electronic devices with different conductance and heat sink configurations.
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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".