Verification and Validation of Droplet Freezing for Convective Boundary Condition Using Matched Asymptotic Perturbation Method and Computational Fluid Dynamics
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Bibliographic record
Abstract
Abstract Droplet freezing has been a subject of several studies encompassing numerous applications such as food processing, spray freeze drying, ice accretion on the aircrafts and low temperature biological applications. The literature is rife with a comprehensive analytical and numerical treatment of the classical Stefan problem. There is a need, however, to address the development of accurate solutions for the two-phase Stefan problem where the initial droplet temperature is different than the freezing temperature of the droplet. A solution of such kind will allow for quick and convenient calculations for important geometric and operating parameters over a wide range. This study presents a computational fluid dynamics model along with a perturbation series solution approximation developed for the temperature field and the interface motion. The semi-analytical results are compared with experimental results in the literature and are further complemented by a computational fluid dynamics study of a freezing droplet using enthalpy-porosity method. Preliminary results indicate a good agreement between experimental, numerical and perturbation series solutions.
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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 | 0.000 | 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 it