On the nonlinear three dimensional instability of Stokes layers and other shear layers to pairs of oblique waves
| العنوان: | On the nonlinear three dimensional instability of Stokes layers and other shear layers to pairs of oblique waves |
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| المؤلفون: | Wu, Xuesong, Lee, Sang Soo, Cowley, Stephen J. |
| المصدر: | CASI |
| سنة النشر: | 1992 |
| المجموعة: | NASA Technical Reports Server (NTRS) |
| مصطلحات موضوعية: | FLUID MECHANICS AND HEAT TRANSFER |
| جغرافية الموضوع: | Unclassified, Unlimited, Publicly available |
| الوصف: | The nonlinear evolution of a pair of initially oblique waves in a high Reynolds Number Stokes layer is studied. Attention is focused on times when disturbances of amplitude epsilon have O(epsilon(exp 1/3)R) growth rates, where R is the Reynolds number. The development of a pair of oblique waves is then controlled by nonlinear critical-layer effects. Viscous effects are included by studying the distinguished scaling epsilon = O(R(exp -1)). This leads to a complicated modification of the kernel function in the integro-differential amplitude equation. When viscosity is not too large, solutions to the amplitude equation develop a finite-time singularity, indicating that an explosive growth can be introduced by nonlinear effects; we suggest that such explosive growth can lead to the bursts observed in experiments. Increasing the importance of viscosity generally delays the occurrence of the finite-time singularity, and sufficiently large viscosity may lead to the disturbance decaying exponentially. For the special case when the streamwise and spanwise wavenumbers are equal, the solution can evolve into a periodic oscillation. A link between the unsteady critical-layer approach to high-Reynolds-number flow instability, and the wave vortex approach is identified. |
| نوع الوثيقة: | other/unknown material |
| وصف الملف: | application/pdf |
| اللغة: | unknown |
| ردمك: | 978-1-993000-63-5 1-993000-63-1 |
| العلاقة: | Document ID: 19930006310; Accession ID: 93N15499; http://hdl.handle.net/2060/19930006310Test |
| الإتاحة: | http://hdl.handle.net/2060/19930006310Test |
| حقوق: | No Copyright |
| رقم الانضمام: | edsbas.D4B77D52 |
| قاعدة البيانات: | BASE |
| ردمك: | 9781993000635 1993000631 |
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