A simple heat transfer model for laminar film condensation of superheated vapours on a vertical plate
Bibliographic record
Abstract
Abstract A mathematical model is developed for the study of free convection film condensation for superheated vapours on a vertical plate. The local film thickness as well as the local heat transfer coefficient (HTC) can be obtained through analytically solving the model. The analytical expression shows that local film thickness is proportional to x 1/4 , i.e . δ x = cx 1/4 , where c is the only positive solution of a quartic equation, and the expression is similar to the expression of Nusselt's model. The evaluation of thermophysical properties in the film is improved, which could enhance prediction accuracy. Furthermore, the model is validated by Shang and Wang's model, which strictly solved the two‐phase boundary equations of vapour and liquid film with consideration of various factors. It is obvious that the proposed model is precise for the prediction of superheated vapour film condensation and convenient for use. In addition, the characteristics of film condensation for water vapour as well as other vapours such as R134a, methane (CH 4 ), nitrogen (N 2 ), and hydrogen (H 2 ) are extendedly studied and compared. The results show that variations of heat transfer increase coefficients (HTICs) with subcooling for various vapours have similar trends, but the HTICs are different, e.g. the HTIC for H 2 is 34 times greater than that for water vapour.
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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".