Controlling Phase Interface Motion in Inverse Heat Transfer Problems with Solidification
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Bibliographic record
Abstract
In this paper, an inverse numerical model is presented for solidification problems. It is used to predict the transient boundary conditions, which produce a prescribed interfacial surface motion and heat transfer. The formulation calculates the required boundary temperature to provide a specified velocity of the phase interface during solid-liquid phase transition. A control-volume-based finite element method is employed for the numerical solution of the energy conservation equation. The finite element framework provides a novel alternative to other inverse techniques based on structured grids. The effects of Stefan number and interface velocity on the solidification processes will be investigated. Numerical examples are presented and discussed for one-dimensional and two-dimensional solidification problems. The accuracy and performance of the formulation are assessed by comparisons with analytical solutions. Based on the model's capability of efficiently providing stable and accurate results, it is viewed to be a worthy design tool in practical engineering applications such as thermal energy storage and materials processing, such as casting and extrusion processes.
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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) | 0.001 | 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 it