Magnetohydrodynamic flow of non-Newtonian visco-elastic fluid through a porous medium near an accelerated plate
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Bibliographic record
Abstract
An exact solution is obtained for the unsteady flow of an electrically conducting visco-elastic incompressible fluid through a porous medium on an infinite flat plate. The fluid under consideration obeys the rheological equations of state due to the Walters stressstrain relation. The plate is accelerated in the presence of a uniform magnetic field. The analysis includes the case of a solid plate as well as a porous one. The solution of the equations of motion is obtained by the use of a Laplace transform. The effects of the elasticity, magnetic field, permeability of the porous medium, and the suction of the plate on the velocity distribution, as well as on skin friction, are discussed. The analytical results are confirmed numerically. It is found that the velocity distribution increases with an increase of both elasticity and permeability, while it decreases as the magnetic parameter increases. It is also found that the skin friction decreases with an increase in the magnetic field and elasticity parameters, while it increases with an increase of both the permeability of the porous medium and the suction of the plate.PACS Nos.: 47.50.+d, 47.55.Mh, 47.85.Dh
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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 | 0.000 | 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)
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Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
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