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Controlling the onset of turbulence by streamwise travelling waves. Part 1. Receptivity analysis
| Content Provider | Scilit |
|---|---|
| Author | Moarref, Rashad Jovanović, Mihailo R. |
| Copyright Year | 2010 |
| Description | We examine the efficacy of streamwise travelling waves generated by a zero-net-mass-flux surface blowing and suction for controlling the onset of turbulence in a channel flow. For small-amplitude actuation, we utilize a weakly nonlinear analysis to determine base-flow modifications and assess the resulting net power balance. Receptivity analysis of the velocity fluctuations around this base flow is then employed to design the travelling waves. Our simulation-free approach reveals that, relative to the flow with no control, the downstream travelling waves with properly designed speed and frequency can significantly reduce receptivity, which makes them well suited for controlling the onset of turbulence. In contrast, the velocity fluctuations around the upstream travelling waves exhibit larger receptivity to disturbances. Our theoretical predictions, obtained by perturbation analysis (in the wave amplitude) of the linearized Navier–Stokes equations with spatially periodic coefficients, are verified using full-scale simulations of the nonlinear flow dynamics in the companion paper (Lieu et al., J. Fluid Mech., 2010, doi:10.1017/S002211201000340X). |
| Related Links | http://arxiv.org/pdf/1006.4594 http://arxiv.org/abs/1006.4594 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/93CAC030FD752BC1C0C22FF9C3B0FA74/S0022112010003393a.pdf/div-class-title-controlling-the-onset-of-turbulence-by-streamwise-travelling-waves-part-1-receptivity-analysis-div.pdf |
| Ending Page | 99 |
| Page Count | 30 |
| Starting Page | 70 |
| ISSN | 00221120 |
| e-ISSN | 14697645 |
| DOI | 10.1017/s0022112010003393 |
| Journal | Journal of Fluid Mechanics |
| Volume Number | 663 |
| Language | English |
| Publisher | Cambridge University Press (CUP) |
| Publisher Date | 2010-11-25 |
| Access Restriction | Open |
| Subject Keyword | Journal of Fluid Mechanics Fluids and Plasmas Physics layer Receptivity Flow Control Transition To Turbulence |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Mechanics of Materials Condensed Matter Physics Mechanical Engineering |