Instabilities in the asymptotic suction boundary layer over a permeable, compliant wall

The spatial, linear stability of an incompressible parallel boundary layer flow with uniform suction through the wall is studied for the case of rigid and flexible bounding surfaces. It is demonstrated, first, that the effect of the plate’s permeability is crucial in defining the disturbance boundar...

Full description

Saved in:
Bibliographic Details
Published inPhysics of fluids (1994) Vol. 27; no. 5
Main Authors Pluvinage, Franck, Kourta, Azeddine, Bottaro, Alessandro
Format Journal Article
LanguageEnglish
Published Melville American Institute of Physics 01.05.2015
Subjects
Boundary conditions
Boundary layer flow
Boundary layer stability
Engineering Sciences
Flow stability
Fluid dynamics
Fluid flow
Fluids mechanics
Incompressible flow
Mechanics
Modulus of elasticity
Permeability
Reynolds number
Stability
Stability analysis
Suction
compliant wall
Instabilities
permeable
boundary layer
Online AccessGet full text

Cover

More Information
Summary:The spatial, linear stability of an incompressible parallel boundary layer flow with uniform suction through the wall is studied for the case of rigid and flexible bounding surfaces. It is demonstrated, first, that the effect of the plate’s permeability is crucial in defining the disturbance boundary conditions at the wall, and that stability limits depend strongly on it. Next, the combined effect of plate’s permeability and compliance on the onset of Tollmien-Schlichting modes is assessed. Finally, the possible insurgence of an absolute instability mode is studied, as function of the Reynolds number, the modulus of elasticity of the plate, and its permeability.
ISSN:1070-6631
1089-7666
DOI:10.1063/1.4921422