Global Stability Analysis of the Spatially Developing Boundary Layer: Effect of Wall Suction and Injection

2021 ◽  
pp. 509-517
Author(s):  
Ramesh Bhoraniya ◽  
Vinod Narayanan
Keyword(s):  
Boundary Layer ◽  
Stability Analysis ◽  
Global Stability ◽  
Boundary Layer Effect ◽  
Wall Suction ◽  
Global Stability Analysis ◽  
Layer Effect

scholarly journals Global Stability Analysis of a Roughness Wake in a Falkner–Skan–Cooke Boundary Layer

2015 ◽  
Vol 14 ◽  
pp. 192-200 ◽  
Author(s):  
Mattias Brynjell-Rahkola ◽  
Philipp Schlatter ◽  
Ardeshir Hanifi ◽  
Dan S. Henningson
Keyword(s):  
Boundary Layer ◽  
Stability Analysis ◽  
Global Stability ◽  
Global Stability Analysis

scholarly journals Unsteadiness in transonic shock-wave/boundary-layer interactions: experimental investigation and global stability analysis

2015 ◽  
Vol 781 ◽  
pp. 550-577 ◽  
Author(s):  
F. Sartor ◽  
C. Mettot ◽  
R. Bur ◽  
D. Sipp
Keyword(s):  
Boundary Layer ◽  
Shock Wave ◽  
Stability Analysis ◽  
Global Stability ◽  
Low Frequency ◽  
Medium Frequency ◽  
Rans Equations ◽  
Wave Boundary Layer ◽  
Global Stability Analysis ◽  
Wave Boundary

A transonic interaction between a shock wave and a turbulent boundary layer is experimentally and theoretically investigated. The configuration is a transonic channel flow over a bump, where a shock wave causes the separation of the boundary layer in the form of a recirculating bubble downstream of the shock foot. Different experimental techniques allow for the identification of the main unsteadiness features. As recognised in similar shock-wave/boundary-layer interactions, the flow field exhibits two distinct characteristic frequencies, whose origins are still controversial: a low-frequency motion which primarily affects the shock wave; and medium-frequency perturbations localised in the shear layer. A Fourier analysis of a series of Schlieren snapshots is performed to precisely characterise the structure of the perturbations at low- and medium-frequencies. Then, the Reynolds-averaged Navier–Stokes (RANS) equations closed with a Spalart–Allmaras turbulence model are solved to obtain a mean flow, which favourably compares with the experimental results. A global stability analysis based on the linearization of the full RANS equations is then performed. The eigenvalues of the Jacobian operator are all damped, indicating that the interaction dynamic cannot be explained by the existence of unstable global modes. The input/output behaviour of the flow is then analysed by performing a singular-value decomposition of the Resolvent operator; pseudo-resonances of the flow may be identified and optimal forcings/responses determined as a function of frequency. It is found that the flow strongly amplifies both medium-frequency perturbations, generating fluctuations in the mixing layer, and low-frequency perturbations, affecting the shock wave. The structure of the optimal perturbations and the preferred frequencies agree with the experimental observations.

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