Theoretical Study of Counter-Current Liquid-Vapor Flow Under Condensation Conditions Over Non-Isothermal Vertical Wall of Two-Phase Closed Thermosyphon
Bibliographic record
Abstract
Abstract This paper proposes a new mathematical formulation describing the relationship between shear stress and film thickness to model condensing falling film of liquid in vertical thermosyphons. The mathematical model incorporates various factors, encompassing the contribution of shear stress resulting from friction force and phase change at the liquid-vapor interface, the impact of subcooling, and the influence of the convective boundary on film heat transfer. Vapor phase condensation in thermosyphons with relatively longer condenser lengths, where temperature variation is inevitable, is an area of interest for using the proposed model. The novel formulation is solved iteratively with the analytical solution of conservation equations, thermal equilibrium, and thermal resistance analogy. Optimized relaxation factors are used, and when the convergence criteria are met, the model marches over the condenser wall. The high accuracy of the model in regenerating literature data allowed the implementation of parametric study analyses on the variation of ambient air temperature, heat transfer coefficient, and wind velocity. The results are verified with a numerical model based on the modified Nusselt theory, and the underestimation of the latter approach in film thickness prediction and, consequently, heat flux has been discussed. The introduced model indicated the promising potential for laminar to wavy-laminar film regimes and could be applied to similar cases, such as co-current flows and evaporating thin films by minor revision.
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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) | 0.001 | 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 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".