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On the secondary instability of taylor-goertler vortices to tollmien-schlichting waves in fully-developed flows
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Bennett Sr., James Hall, Philip |
| Copyright Year | 1986 |
| Description | There are many flows of practical importance where both Tollmien-Schlichting waves and Taylor-Goertler vortices are possible causes of transition to turbulence. The effect of fully nonlinear Taylor-Goertler vortices on the growth of small amplitude Tollmien-Schlichting waves is investigated. The basic state considered is the fully developed flow between concentric cylinders driven by an azimuthal pressure gradient. It is hoped that an investigation of this problem will shed light on the more complicated external boundary layer problem where again both modes of instability exist in the presence of concave curvature. The type of Tollmein-Schlichting waves considered have the asymptotic structure of lower branch modes of plane Poisseulle flow. Whilst instabilities at lower Reynolds number are possible, the latter modes are simpler to analyze and more relevant to the boundary layer problem. The effect of fully nonlinear Taylor-Goertler vortices on both two-dimensional and three-dimensional waves is determined. It is shown that, whilst the maximum growth as a function of frequency is not greatly affected, there is a large destabilizing effect over a large range of frequencies. |
| File Size | 1257754 |
| Page Count | 47 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19870008596 |
| Archival Resource Key | ark:/13960/t2v45mc17 |
| Language | English |
| Publisher Date | 1986-11-01 |
| Access Restriction | Open |
| Subject Keyword | Fluid Mechanics And Heat Transfer Turbulence Fluid Dynamics Three Dimensional Flow Laminar Flow Vortices Reynolds Number Fluid Flow Tollmien-schlichting Waves Boundary Layer Transition Two Dimensional Flow Goertler Instability Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Technical Report |
