Forced Convective Heat Transfer for Stokes Flow with Viscous Dissipation in Wavy Channels
Bibliographic record
Abstract
In this paper, an asymptotic solution of the forced convective heat transfer for Stokes flow including viscous dissipation in a two-dimensional sinusoidal wavy channel is presented.The velocity components, pressure, and temperature distributions are sought as an asymptotic expansion in terms of the amplitude to half-mean-height ratio up to the second order.The Nusselt number is calculated in terms of the amplitude to half-mean-height ratio, 𝛼𝛼, and the half-mean-height to wavelength ratio, 𝜀𝜀.In addition to that, a numerical solution, by using ANSYS Fluent solver and integrating Python scripting to automate several parts of the simulations, is presented to validate the asymptotic solution.It is found that the asymptotic and numerical solutions are in good agreement with slight quantitative differences for 𝛼𝛼 = 0.2 or 𝜀𝜀 = 0.5.However, as 𝛼𝛼 increases further, there is a change in the behavior of the Nusselt number defined at the wall due to the use of Taylor series expansions for the boundary conditions which induces an approximated corrugated channel that differ slightly from the exact sinusoidal channel as 𝛼𝛼 increases.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.001 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.001 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.001 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.000 | 0.001 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.001 | 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 source (direct Gemma or distilled Codex), 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".