Bibliographic record
Abstract
Abstract Mass transfer around a slender drop in a simple shear and creeping flow, at zero Peclet numbers (Pe = 0), is the subject of this theoretical report. The problem is governed by two dimensionless parameters: the capillary number (Ca >> 1) and the viscosity ratio (λ << 1). The fluid mechanics model of Hinch and Acrivos predicts an S‐shaped drop with pointed ends that is almost parallel with the direction of the flow. Making use of the analogy between electrostatics and diffusion (Pe = 0), both governed by the Laplace equation, together with the work of Szegö on the capacity of a condenser, a simple model is suggested by assuming the drop to be a slender prolate spheroid with rounded ends. The results suggest the following: (a) as the capillary number increases, the drop becomes thinner and longer and its surface area increases, leading to larger mass transfer rates; and (b) for the same capillary number, extensional flow is much more effective than simple shear flow in mass transfer operations.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.001 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.001 | 0.000 |
| Science and technology studies | 0.000 | 0.001 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.000 | 0.001 |
| Research integrity | 0.001 | 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 source (direct Gemma or distilled Codex), 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".