Linear Spatial Stability Analysis of Mixed Convection Boundary Layer over a Heated Plate
Bibliographic record
Abstract
The spatial stability properties of a mixed convection boundary layer developed over a heated horizontal flat plate is investigated under the linear and quasi-parallel assumptions by solving the Orr-Sommerfeld equations. The main aim of this work is to find a critical buoyancy parameter above which a qualitative change in the stability characteristics of the mixed convection boundary layer due to the influence of heat transfer is displayed. The equilibrium flow used here is that given by the similarity solution of [1] which implies the wall temperature to vary as the inverse square root of the distance from the leading edge of the plate. The Orr-Sommerfeld equation has been solved by using the compound matrix method (CMM)-- which locates all the modes in a chosen range of complex wave number, for spatial stability analysis. Cases with different buoyancy parameters have been investigated which were earlier reported incorrectly in [2]. Results indicate modifications of the hydrodynamic mode with certain buoyancy parameter for which continuous existence of instability as the flow develops downstream. The erroneous results in the above mentioned paper is associated with the wrong choice of compound variables used in CMM and the associated dispersion relation satisfied at the wall. Key Words: Mixed Convection Flow; Orr-Sommerfeld Equation; Spatial Stability Analysis; Compound Matrix Method (CMM)
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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 | 0.000 |
| Bibliometrics | 0.001 | 0.000 |
| Science and technology studies | 0.000 | 0.001 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.001 | 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".