Fluid Flow And Heat Transfer from a Cylinder Between Parallel Planes
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Bibliographic record
Abstract
An integral approach is employed to investigate the effects of blockage on fluid flow and heat transfer from a circular cylinder confined between parallel planes. The integral form of the boundary-layer momentum equation is solved using the modified von Kármán–Pohlhausen method, which uses a fourth-order velocity profile inside the hydrodynamic boundary layer. The potential flow velocity, outside the boundary layer, is obtained by the method of images. A third-order temperature profile is used in the thermal boundary layer to solve the energy integral equation for isothermal and isoflux boundary conditions. Closed-form solutions are obtained for the fluid flow and heat transfer from the cylinder with blockage ratio and Reynolds and Prandtl numbers as parameters. It is shown that the blockage ratio controls the fluid flow and the transfer of heat from the cylinder and delays the separation. The results for both thermal boundary conditions are found to be in a good agreement with experimental/numerical data for a single circular cylinder in a channel. Nomenclature b = blockage ratio, identical to D/ST CD = total drag coefficient CD f = friction drag coefficient CDp = pressure drag coefficient
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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)
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