Modeling the Effect of Shear Stress on the Composition and Growth of the Deposit Layer from “Waxy” Mixtures under Laminar Flow in a Pipeline
Bibliographic record
Abstract
A mathematical model based on the moving boundary problem formulation for solids deposition was modified to account for the effect of shear stress in laminar flow of paraffinic mixtures. The effect of shear stress on the composition and growth of the deposit layer was incorporated via a recently proposed approach involving one-dimensional deformation of a cubical cage, leading to the release of a fraction of the liquid from the deposit. Numerical solutions were obtained for the growth of the deposit layer with time, both radially and axially. Predictions were obtained for the effect of different cubical-cage deformation angles on the composition and solid/liquid phase ratio in the deposit layer. Whereas an increase in the deformation angle was predicted to cause wax enrichment in the deposit, the deposit-layer thickness was primarily dependent upon the heat-transfer and phase equilibrium considerations. The predictions also indicated that an increase in the deformation angle delayed the deposition process, because of a corresponding increase in the average solid-phase fraction within the deposit, and it caused the deposit to become enriched in heavier n -alkanes and depleted in lighter n -alkanes.
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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".