A Numerical Study of Natural Convective Flow Through a Vertical Symmetrically Heated Channel With an Unheated Upper Section
Bibliographic record
Abstract
Natural convective flow through a vertical plane channel has been considered. The walls of the lower portion of the channel are heated to a uniform temperature, both of the heated walls being at the same temperature. The walls of the upper part of the channel are unheated, i.e., are adiabatic. The reason for undertaking the study arose from the fact that using an adiabatic upper wall section can, through the so-called chimney effect, increase the flow rate through the channel and therefore increase the heat transfer rate from the lower heated wall section. However if the upper adiabatic wall section is too long the increased pressure drop due to viscous effects can lead to a reduced flow rate through the channel and to a reduced heat transfer rate. Therefore a need existed to examine in more detail the effect that the height of the upper adiabatic wall section has on the heat transfer rate. The flow has been assumed to be steady and the Boussinesq approximation has been adopted. The solutions have been obtained using the commercial CFD code FLUENT©. The solution has the Rayleigh number, the Prandtl number, the ratio of the channel width to the height of the heated channel wall section, and the ratio of the height of the adiabatic channel wall section to the height of the heated wall section as parameters. Results have only been obtained for a Prandtl number of 0.74 (the value for air at temperatures near ambient temperature). Results have been obtained for a wide range of values of the remaining parameters and the effects of these parameters on the mean Nusselt number have been studied.
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How this classification was reachedexpand
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 | 0.001 |
| 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 itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, 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".