Wall slip of polydisperse linear polymers using double reptation
Why this work is in the frame
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Bibliographic record
Abstract
The slip behavior of several high-density polyethylenes (HDPEs) is studied as a function of molecular weight (MW) and its distribution for a broad range of MW distributions. The slip velocity increases with decrease of MW, which is the case for several other linear polymers including monodisperse polybutadienes (PBDs), polystyrenes (PSs), and polylactides reported in the literature. For such polymers, the slip velocity, Vs, scales with weight or number average MW (due to monodispersity) as VS∝Mwβ, where β is about −2 for PBDs and −3.2 for PSs. For polydisperse HDPEs concepts from double reptation theory is used to develop an expression to relate slip velocity with MW and its distribution. Moreover, the slip velocity of linear polymers scales nonlinearly with the wall shear stress, namely, VS∝σWm. Using de Gennes' theory for slip, the values of m reported in the literature are explained on a theoretical basis and they are found to be equal to 1/n, where n is the local slope of the flow curve of the corresponding polymer, n≡ log(σw)/ log(γ̇w), which changes from 1 (Newtonian flow regime) to a constant value in the power-law flow regime.
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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 it