Magnetogravitational Vortex-Sheet Instability of Two Superposed Conducting Fluids in Porous Medium Under Strong Magnetic Field
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Bibliographic record
Abstract
The instability of two superposed homogeneous streaming uids is discussed under gravitational force and uniform magnetic eld in porous medium. The two streams are moving in opposite directions with equal velocities parallel to the horizontal plane. The solution has been obtained through the normal mode technique, and the most gen- eral dispersion relation has been obtained as 20th-order equation for the growth rate with quite complicated coe¢ cients. Solving numeri- caly the dispersion relation for appropriate boundary conditions with high Alfven and sound velocities, it is found that uid velocities and porosity of porous medium have stabilizing e¤ects, and Alfven and sound velocities have destabilizing e¤ects, while medium permeabil- ity has a slightly stabilizing e¤ect, and the dynamic viscosities have slightly destabilizing e¤ect. The limiting cases of non-porous medium have also been studied for both streaming and stationary uids. Key words : Hydrodynamic stability; Conducting uids; Flows through porous media; Gravitational force; Magnetohydrodynamics
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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 | 0.001 | 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