Growth of a vapour bubble in a viscous, superheated liquid in two-phase flow
Bibliographic record
Abstract
This paper presents the growth of a vapour bubble in a viscous, superheated liquid. The problem is solved analytically using the Plesset and Zwick method after modifying the pressure difference to include a multiple quantity of the initial pressure difference, its coefficient b giving the necessary condition for the growth process. Relations between the initial and final times in terms of the given physical parameters are derived. The bubble radius is proportional to the thermal diffusivity, the initial pressure difference and its coefficient, while it is inversely proportional to the surface tension, the dynamic viscosity, and the initial void fraction. Moreover, for b = 1 × 10 −2 , better agreement is achieved to some experimental data than some previous theoretical works, for the initial superheated conditions at 2.1, 3.1, and 4.5 K.
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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".