Electrophoretic Motion of a Circular Cylindrical Particle in a Circular Cylindrical Microchannel
Bibliographic record
Abstract
This paper investigates the electrophoretic motion of a circular cylindrical particle with hemispherical ends in a circular cylindrical microchannel filled with an aqueous electrolyte solution. The influences of three parameters on the electrophoretic motion of the particle are considered: the ratio of the particle radius to the channel radius, a / b; the ratio of the axial length of the particle to its radius, L / a; and the ratio of the zeta potential of the channel to that of the particle, γ = ζ w /ζ p . It is assumed that the electrical double layers are thin, that is, κ a → ∞. In the analysis, the liquid phase is divided into the inner region, which consists of the electrical double layers, and the outer region, which consists of the remainder of the liquid. A theoretical model governing the inner region and the outer region has been constructed, and a force balance on the particle surface is used to determine the particle velocity. The finite element method is employed to solve the resulting set of equations. It is found that the particle velocity in a microchannel decreases as a / b increases or as L / a increases. The particle velocity is also found to decrease linearly as γ increases. On the basis of these results, an analysis of the electrophoretic separation of particles in a microchannel is presented. It is found that circular cylindrical particles of the same zeta potential, in small circular cylindrical microchannels filled with an aqueous electrolyte solution, can be separated by size.
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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 | 0.000 |
| 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 | 0.001 |
| Scholarly communication | 0.000 | 0.001 |
| Open science | 0.000 | 0.000 |
| 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".