Nonlinear Simulation of Thermo-Viscous Fingering in Nonisothermal MiscibleDisplacements in Porous Media
Bibliographic record
Abstract
Full nonlinear simulation of the thermo-viscous flow is carried out to study the thermo-viscous fingering in non-isothermal miscible displacements in two-dimensional rectilinear porous media. The problem is formulated using momentum balance equation in the form of Darcy's law, and volume-averaged mass and energy balance equations in the form of convective-diffusion equations. Exponential dependence of viscosity on concentration and temperature is used. With the use of vorticity-streamfunction formulation and periodic boundary conditions, the coupled system of nonlinear equations is solved conveniently using highly accurate pseudo-spectral method. The transient development of thermo-viscous instability is studied for different values of solutal (PeC) and thermal (PeT) Peclet numbers, Lewis number (Le) and the parameters representing the concentration (βC) and temperature (βT) dependence of viscosity. In Hele-Shaw flow, the effects of βC and βT are found to be additive when Le is unity, while at smaller values of Le the frontal instability is further enhanced. At practically large values of Le, the fluid and the thermal fronts evolve differently, with the fluid front being more unstable. The reduction in instability on the thermal front is found to be due to the enhancement of the thermal dispersion in such flow. Finally, it has been noticed that at large values of Le, the instability in the thermo-viscous flow is dominated by the viscosity contrast due to the variation in concentration across the fluid front, which was also reported in earlier literature.
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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 | 0.000 |
| 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 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".