scholarly journals On inviscid instability of nonsymmetric axial corner-layer flow

2018 ◽  
Author(s):  
A. V. Boiko ◽  
S. V. Kirilovskiy ◽  
Yu. M. Nechepurenko ◽  
T. V. Poplavskaya
Keyword(s):  
Layer Flow ◽  
Corner Layer ◽  
Inviscid Instability

scholarly journals On non-symmetric axial corner-layer flow

2017 ◽  
Vol 894 ◽  
pp. 012011 ◽  
Author(s):  
A V Boiko ◽  
S V Kirilovskiy ◽  
Y M Nechepurenko ◽  
T V Poplavskaya
Keyword(s):  
Layer Flow ◽  
Corner Layer

scholarly journals Singular modes in Rayleigh instability of three-dimensional streamwise-vortex flows

1997 ◽  
Vol 333 ◽  
pp. 139-160 ◽  
Author(s):  
S. N. TIMOSHIN ◽  
F. T. SMITH
Keyword(s):  
Multiple Solutions ◽  
Three Dimensional ◽  
Wave Interaction ◽  
Streamwise Vortex ◽  
Perturbation Techniques ◽  
Rayleigh Instability ◽  
Longitudinal Vortices ◽  
Linear And Nonlinear ◽  
Layer Flow ◽  
Inviscid Instability

The upper-branch neutral modes of inviscid instability in a boundary-layer flow with significant longitudinal vortices present are shown to possess typically a logarithmically singular, non-inflectional, critical layer. This contrasts with previous linear and nonlinear suggestions implemented in vortex–wave interaction and secondary instability theories, which are re-examined. The analysis here is based first on perturbation techniques applied to a Rayleigh unstable planar motion supplemented by a vortex centred around the inflection level, followed by the extension to more general cases. Flows with order one and larger spanwise scales are considered. Multiple solutions, their limit properties and parametric continuations are illustrated with concrete examples.

On the inviscid instability of the hyperbolictangent velocity profile

1964 ◽  
Vol 19 (4) ◽  
pp. 543-556 ◽  
Author(s):  
A. Michalke
Keyword(s):  
Velocity Profile ◽  
Instability Mechanism ◽  
Hyperbolic Tangent ◽  
Stability Equation ◽  
Eigenvalues And Eigenfunctions ◽  
Disturbed Flow ◽  
Vorticity Distribution ◽  
Linearized Stability ◽  
Layer Flow ◽  
Inviscid Instability

The Rayleigh stability equation of inviscid linearized stability theory was integrated numerically for amplified disturbances of the hyperbolic-tangent velocity profile. The evaluation of the eigenvalues and eigenfunctions is followed by a discussion of the streamline pattern of the disturbed flow. Here no qualitative distinction is found between an amplified and the neutral disturbance. But considering the vorticity distribution of the disturbed flow it is shown that in the case of amplified disturbances two concentrations of vorticity occur within a disturbance wavelength, while in the neutral case only one maximum of vorticity exists. The results are discussed with respect to the instability mechanism of free boundary-layer flow.

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