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| Content Provider | Springer Nature Link |
|---|---|
| Author | Weng, Shangkun |
| Copyright Year | 2013 |
| Abstract | This is a continuation of our previous paper Du et al. ( http://www.ims.cuhk.edu.hk/publications/reports/2012-06.pdf ), where we have characterized a set of physical boundary conditions that ensures the existence and uniqueness of subsonic irrotational flow in a flat nozzle. In this paper, we will investigate the influence of the incoming flow angle and the geometry structure of the nozzle walls on subsonic flows in a finitely long curved nozzle. It turns out to be interesting that the incoming flow angle and the angle of inclination of nozzle walls play the same role as the end pressure for the stabilization of subsonic flows. In other words, the L 2 and L ∞ bounds of the derivative of these two quantities cannot be too large, similar as we have indicated in Du et al. ( http://www.ims.cuhk.edu.hk/publications/reports/2012-06.pdf ) for the end pressure. The curvatures of the nozzle walls will also play an important role in the stability of the subsonic flow. |
| Ending Page | 220 |
| Page Count | 18 |
| Starting Page | 203 |
| File Format | |
| ISSN | 00442275 |
| e-ISSN | 14209039 |
| Journal | Zeitschrift für angewandte Mathematik und Physik |
| Issue Number | 2 |
| Volume Number | 65 |
| Language | English |
| Publisher | Springer Basel |
| Publisher Date | 2013-03-08 |
| Publisher Place | Basel |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Mathematical Methods in Physics Boundary value problems for second-order elliptic equations Bernoulli’s constant PDEs in connection with fluid mechanics Theoretical and Applied Mechanics Curvature Elliptic system of first-order Subsonic irrotational flows Degenerate elliptic equations |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Physics and Astronomy |
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