NASA Logo

NTRS

NTRS - NASA Technical Reports Server

Collections About News Help Login
Back to Results
Excitation of Continuous and Discrete Modes in Incompressible Boundary LayersThis report documents the full details of the condensed journal article by Ashpis & Reshotko (JFM, 1990) entitled "The Vibrating Ribbon Problem Revisited." A revised formal solution of the vibrating ribbon problem of hydrodynamic stability is presented. The initial formulation of Gaster (JFM, 1965) is modified by application of the Briggs method and a careful treatment of the complex double Fourier transform inversions. Expressions are obtained in a natural way for the discrete spectrum as well as for the four branches of the continuous spectra. These correspond to discrete and branch-cut singularities in the complex wave-number plane. The solutions from the continuous spectra decay both upstream and downstream of the ribbon, with the decay in the upstream direction being much more rapid than that in the downstream direction. Comments and clarification of related prior work are made.
Document ID
19980232606
Acquisition Source
Legacy CDMS
Document Type
Technical Memorandum (TM)
Authors
Ashpis, David E. (NASA Lewis Research Center Cleveland, OH United States)
Reshotko, Eli (Case Western Reserve Univ. Cleveland, OH United States)
Date Acquired
September 6, 2013
Publication Date
July 1, 1998
Subject Category
Aerodynamics
Report/Patent Number
NAS 1.15:208490
NASA/TM-1998-208490
E-11271
Funding Number(s)
PROJECT: RTOP 522-31-23
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

Related Records

There are no records associated with this record.
No Preview Available