Depth and Velocity of Ablation Under a Constant Heat Flux
Bibliographic record
Abstract
Abstract Explicit closed-form expressions for the velocity, depth of ablation front, and penetration of the thermal profile valid up to a Stefan number of 30 (the vast majority of technological materials have a value below 10) and for all times in the problem of ablation under a constant heat flux are derived. The analysis is based on the blending of the asymptotic, transient, and steady-state, regimes of the above-mentioned quantities. Expressions to estimate the characteristic values representative of intermediate behaviors are also proposed. The prediction of depth and velocity of penetration calculated with the expressions proposed resulted in a maximum absolute error below 8% in comparison to the numerical solution. This model assumes a thick substrate and a criterion for minimum thickness is also proposed. Equations to predict the thickness of the heat-affected zone and of the mushy zone in ablation are also derived. The ultimate aim of this work is to provide simple and accurate expressions to predict the progress of the ablation or to select optimal process parameters in case ablation is used in manufacturing.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.002 |
| 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 | 0.001 | 0.001 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.001 | 0.000 |
| Insufficient payload (model declined to judge) | 0.001 | 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 source (direct Gemma or distilled Codex), 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".