| Autor: |
Michel O. Deville |
| Rok vydání: |
2022 |
| Zdroj: |
An Introduction to the Mechanics of Incompressible Fluids ISBN: 9783031046827 |
| DOI: |
10.1007/978-3-031-04683-4_8 |
| Popis: |
The first instability mechanism is applied to the plane parallel channel flow. We establish the well known Orr-Sommerfeld equation which is solved by the Chebyshev Tau method. The associated Fortran programme is given in the appendix. Then the stability of the circular Couette flow between two concentric cylinders is undertaken. The inviscid approach yields the Rayleigh stability criterion. The incorporation of the viscous and pressure terms generates through a linearization process a set of differential equations again solved by high-order discretization methods through a generalized eigenvalue problem. The chapter ends with the case of the non-linear axisymmetric Taylor vortices. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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