Numerical simulation of transient liquid phase bonding with variable diffusion coefficient in planar, cylindrical and spherical systems
Bibliographic record
Abstract
A new finite difference numerical model with variable diffusion coefficient is developed by using an explicit-fully-implicit hybrid method and Landau transformation with adaptable spatial discretization to study TLP bonding kinetics in planar and non-planar systems. The results of the numerical model developed in this research, which are verified with experimental data available in the literature, reveal key reasons for why the extent of isothermal solidification deviates from linear relationship with √t, i.e. deviation from parabolic behavior. The deviation occurs when the concentration dependency of D changes with time. In non-planar systems (cylindrical and spherical), however, deviation from the parabolic behavior can occur even when D is independent of both concentration and time, solely by geometry-induced effect. Moreover, the kinetics of solute penetration into the substrate during isothermal solidification is different from the solute penetration kinetics that occur during homogenization process that follows the isothermal solidification stage.
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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".