Fluid Flow Around and Heat Transfer From Elliptical Cylinders: Analytical Approach
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Bibliographic record
Abstract
An integral method of boundary-layer analysis is employed to derive closed-form expressions for the calculation of total drag and average heat transfer for flow across an elliptical cylinder under isothermal and isoflux thermal boundary conditions. The Von Karman-Pohlhausen integral method is used to solve the momentum and energy equations for both thermal boundary conditions. A fourth-order velocity profile in the hydrodynamic boundary layer and a third-order temperature profile in the thermal boundary layer are used. The present results are in good agreement with existing experimental/numerical data and, in the limiting cases, can be used for circular cylinders and finite plates. Nomenclature a = semimajor axis of elliptical cylinder, m b = semiminor axis of elliptical cylinder, m C D = total drag coefficient C D f = friction drag coefficient C D p = pressure drag coefficient C f = skin friction coefficient, ≡ 2τw/ρU 2 app
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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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