Summary
The current eigenvalue procedures which assume the relationship between the two wave numbers α and β in the Orr-Sommerfeld equation to predict transition in three-dimensional flows are evaluated against the saddle-point method of Cebeci and Stewartson which computed this relationship by requiring ∂α/∂β to be real. Studies for an infinite swept wing indicate that all procedures agree well with the experimental data. The results for a prolate spheroid, however, indicate that the saddle-point method leads to satisfactory results whereas that based on an assumed relationship between a and β does not.
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Chen, H.H., Cebeci, T. (1990). An Evaluation of Stability-Based Methods for Transition of Three-Dimensional Flows. In: Arnal, D., Michel, R. (eds) Laminar-Turbulent Transition. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84103-3_29
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DOI: https://doi.org/10.1007/978-3-642-84103-3_29
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