Effective Thermal Conductivity Model for Tetragonal Pin Array Stack
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Bibliographic record
Abstract
Thermoacoustics is the science which describes the energy conversion between mechanical energy, in the form of acoustic waves, and heat. This energy conversion takes place in a particular porous material, named "stack" or "regenerator", which represents the core of these devices. In literature, convex uniform cross-section geometries, such as longitudinal pin array, are found to be the most efficient stack for thermoacoustic applications, thanks to the low viscous losses. On the other hand, another fundamental characteristic required for thermoacoustic porous cores is the ability to sustain a static thermal gradient along their axial length. For this reason, stack configurations with low thermal conductivity, such as transversal pin, have been also considered. Therefore, a tetragonal pin array geometry comes out as thermoacoustic stack from a trade-off between the classical longitudinal pin array (low viscous losses and high thermal conductivity) and the transversal pin array (high viscous losses and low thermal conductivity). In this work, an analytical model to assess the effective thermal conductivity of the tetragonal pin array stack is provided in order to correctly estimate the heat flux along this typology of stack. Such an analytical model has been then verified both by FEM-based numerical simulations and other correlations found in the literature.
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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 | 0.001 | 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 | 0.001 |
| 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 it