TITLE:
Linear Instability of the Supersonic Boundary Layer on a Compliant Surface
AUTHORS:
S. A. Gaponov
KEYWORDS:
Compressible Boundary Layers, Laminar-Turbulent Transition, Hydrodynamic Stability
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.2 No.6,
May
15,
2014
ABSTRACT: In the paper the influence of flexible
covering properties on the linear development of disturbances in a supersonic
boundary layer is investigated for Mach numbers M = 1.0, 2.0, 5.3, 6.0. As a
model of a covering the porous plate closed by a flexible film is used. In the
absence of gas in pores it is established that the flexible covering stabilizes
boundary layer in the area of large Reynolds numbers and destabilizes it at
small Reynolds numbers. Joint influence of the thickness and tension of a film
leads to an appearance of additional unstable waves. For filled with gas pores
the researches are conducted as taking into account losses of energy of
disturbances in pores and in their absence. Calculations without power losses
indicate possibility of existence of an absolute instability of the boundary
layer on the flexible surface. The damping properties of a flexible covering
connected with power losses in pores reduce their stabilizing role.