Pressure curves for compressible flow with slip through constricted cylinders
Bibliographic record
Abstract
<p>The goal of this research is to determine more accurate pressure curves for compressible flow with slipthrough cylinders that have a local constriction. Existing analyses for compressible flow with slip througha local constriction linearize the pressure gradient equation, and higher-order derivatives are dropped as well. The equation to be developed as part of this research retains quadratic pressure gradient terms. The corresponding solution for the pressure gradient is found following existing analysis in the literature for incompressible, no-slip flow, and subsequently the pressure is found using numerical integration. Results are compared to those from the linearized pressure gradient equation to see the extent of the improvement. Results are also assessed and compared to pressure and density curves available in the literature for some specific constrictions. Improvements may be obtained when the second-order derivatives are kept as well inthe pressure gradient equations, which can be assessed and analyzed in the same context. Pressure curves are assessed in different idealized flow geometries including the Gaussian model, a cosinu-soidal model, and a smooth piece-wise polynomial model. In each case the pressure is found, and hence alsothe density. A range of Reynolds numbers, degrees of constriction, length of the constriction, compressibilityand slip are considered. Density curves are separately compared to existing particle-based results obtained from a stochastic particle dynamics using multiparticle collision dynamics. </p>
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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) | 0.001 | 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 | 0.001 |
| 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".