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NASA Technical Reports Server (NTRS) 19890019395: A nonlinear investigation of the stationary modes of instability of the three-dimensional compressible boundary layer due to a rotating disc

by: NASA Technical Reports Server (NTRS)

Publication date: 1989-07-01

Topics: NASA Technical Reports Server (NTRS), BOUNDARY LAYER STABILITY, COMPRESSIBLE BOUNDARY LAYER, FLOW DISTRIBUTION, ROTATING DISKS, THREE DIMENSIONAL BOUNDARY LAYER, WALL FLOW, ASYMPTOTIC METHODS, DESTABILIZATION, MACH NUMBER, NONLINEARITY, SHEAR STRESS, VELOCITY DISTRIBUTION, Seddougui, Sharon O.,

Collection: NASA_NTRS_Archive; additional_collections

Language: English

The effects of compressibility on a stationary mode of instability of the 3-D boundary layer due to a rotating disc are investigated. The aim is to determine whether this mode will be important in the finite amplitude destabilization of the boundary layer. This stationary mode is characterized by the effective velocity profile having zero shear stress at the wall. Triple-deck solutions are presented for an adiabatic wall and an isothermal wall. It is found that this stationary mode is only possible over a finite range of Mach numbers. Asymptotic solutions are obtained which describe the structure of the wavenumber and the orientation of these modes as functions of the local Mach number. The effects of nonlinearity are investigated allowing the finite amplitude growth of a disturbance close to the neutral location to be described.