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| Content Provider | Springer Nature Link |
|---|---|
| Author | Tumin, A.T. Aizatulin, L. |
| Copyright Year | 1997 |
| Abstract | Results of eigenvalue analysis based on global and local eigenvalue considerations are presented. A collocation method with the Chebyshev polynomial approximation has been used for the global eigenvalue analysis. The results explain the appearance of a second unstable mode. In the case of real frequencies with Reynolds number R < 381 there is only one unstable mode. This mode coalesces at R≈ 381 with a stable mode. At R > 381 they become separated by interchannging their branches, then the second unstable mode occurs. The receptivity problem has been considered with respect to perturbations emanating from a wall. The results illustrate that high-frequency modes have a stronger response than low-frequency modes. It is shown that the method of expansion in a biorthogonal eigenfunction system and the method used by Ashpis and Reshotko are equivalent with regard to the receptivity problem solution. |
| Starting Page | 33 |
| Ending Page | 45 |
| Page Count | 13 |
| File Format | |
| ISSN | 09354964 |
| Journal | Theoretical and Computational Fluid Dynamics |
| Volume Number | 9 |
| Issue Number | 1 |
| e-ISSN | 14322250 |
| Language | English |
| Publisher | Springer-Verlag |
| Publisher Date | 1997-02-01 |
| Publisher Place | Berlin Heidelberg |
| Access Restriction | One Nation One Subscription (ONOS) |
| Content Type | Text |
| Resource Type | Article |
| Subject | Fluid Flow and Transfer Processes Condensed Matter Physics Computational Mechanics |
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