Shear Effects in Interfacial Rheology and Their Implications on Oscillating Pendant Drop Experiments
Bibliographic record
Abstract
Adsorbed molecules that associate or entangle with one another at the fluid interface will give rise to shearing resistance (i.e., resistance to shape change at constant area) on the continuum scale. Where these shear effects occur, familiar theoretical constructs, such as the Young-Laplace equation or the complex dilational modulus, are rendered invalid. In this work, we report numerical simulations of an oscillating pendant drop with a surface that is a shear-resisting film. Specifically, the drop surface is treated as a Boussinesq fluid (i.e., one that possesses independent viscous coefficients for dilation and shearing). We show that the frequency response of the apparent dilational modulus (based on tensions determined from the Young-Laplace equation) is remarkably consistent with the Maxwell model of viscoelasticity. It is argued, however, that usage of the Maxwell model, in the context of dilational rheology, is unphysical; as such, the apparent "Maxwellian behavior" is likely due to shear resistance within the Boussinesq material (i.e., the interface may not be undergoing any internal relaxation at all). Our results also predict an apparent "softening" of the adsorbed layer as the interfacial structure becomes more developed.
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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 | 0.001 | 0.003 |
| 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 | 0.001 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.001 | 0.001 |
| 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".