Interfacial Instabilities of Shear-Thinning Fluids in HomogeneousPorous Media
Bibliographic record
Abstract
In this study, radial immiscible flow displacements in homogeneous porous media are modelled numerically in the case where the displacing fluid is Newtonian while the displaced one may be Newtonian or shear-thinning governed by Carreau's rheological model. The governing equations and interfacial jump conditions are solved numerically using the Immersed Interface Method and the Level Set Method to track the two fluids interfaces. The effects of four parameters, namely the mobility ratio and Capillary number for Newtonian flows and the Deborah number De and power-law index n, for shear thinning fluids are examined. Time contours of the interface revealing the finger structures that develop as a result of the viscosity mismatch between the two fluids are obtained to analyse and discuss the effects of the different parameters on the interfacial instability. Even though both characteristics of the shear-thinning fluid; De and n were found to affect the interfacial instability, it is revealed that the latter has a stronger effect, at least for the range of parameters that have been considered in this study.
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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) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.001 |
| 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 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".