scholarly journals Nonlinear evolution of a second-mode wave in supersonic boundary layers

1991 ◽  
Vol 7 (1) ◽  
pp. 73-91 ◽  
Author(s):  
Gordon Erlebacher ◽  
M.Y. Hussaini
1999 ◽  
Vol 399 ◽  
pp. 301-318 ◽  
Author(s):  
MARCELLO A. F. MEDEIROS ◽  
MICHAEL GASTER

The nonlinear evolution of wavepackets in a laminar boundary layer has been studied experimentally. The packets were generated by acoustic excitations injected into the boundary layer through a small hole in the plate. Various packets with different phases relative to the envelope were studied. It was found that for all the packets the nonlinearity involved the appearance of oblique modes of frequency close to the subharmonic of the dominant two-dimensional wave. Moreover, the results confirmed that the phase had a strong influence on the strength of the nonlinear interaction. The experimental observations also indicated that although a subharmonic resonance appeared to be present in the process, it alone could not explain the nonlinear behaviour. The experiment demonstrated that the process must also involve a mechanism that generates oblique waves of frequency lower than the Tollmien–Schlichting band.


1991 ◽  
Vol 113 (4) ◽  
pp. 591-597 ◽  
Author(s):  
A. A. Al-Maaitah ◽  
A. H. Nayfeh ◽  
J. A. Masad

The effect of suction on the second (Mack) mode of instability in supersonic and hypersonic two-dimensional boundary layers is investigated. The results show that suction has a stabilizing effect on these waves; it reduces the peak amplification and shifts it toward a higher frequency. In the presence of suction, the most amplified Mack mode remains two-dimensional. The effectiveness of suction in stabilizing Mack waves decreases as the Mach number increases. Variations of the growth rates of the most amplified Mack mode and the corresponding frequencies and wave numbers with mass flux are found to be almost linear. The frequencies and wave numbers corresponding to the most amplified Mack mode increase by increasing the suction level.


2007 ◽  
Vol 20 (4) ◽  
pp. 313-319 ◽  
Author(s):  
Jixue Liu ◽  
Dengbin Tang ◽  
Yingzhao Yang

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