An asymptotic investigation of the stationary modes of instability of the boundary layer on a rotating disc
Abstract
An investigation of high Reynolds number stationary instabilities in the boundary layer on a rotating disc is given. It is shown that in addition to the inviscid mode at high Reynolds numbers, there is a stationary short wavelength mode. This mode has its structure fixed by a balance between viscous and Coriolis forces and cannot be described by an inviscid theory. The asymptotic structure of the wavenumber and orientation of this mode is obtained. A similar analysis is given for the inviscid mode, the expansion procedure used is capable of taking nonparallel effects into account in a self consistent manner. The results are compared to numerical calculations and experimental observations.
- Publication:
-
NASA STI/Recon Technical Report N
- Pub Date:
- September 1985
- Bibcode:
- 1985STIN...8612550H
- Keywords:
-
- Boundary Layer Stability;
- Inviscid Flow;
- Reynolds Number;
- Rotating Disks;
- Asymptotic Methods;
- Coriolis Effect;
- Viscous Flow;
- Vortices;
- Wall Flow;
- Fluid Mechanics and Heat Transfer