Stability of the Flow Around a Cylinder: The Spin-Up Problem
Abstract
Our concern is with the flow around an infinite cylinder, which at a certain instant is impulsively started to spin. The growth of vortices in the resulting boundary layer occurring outside the cylinder is investigated. This layer is essentially a Rayleigh layer which grows with time, so the mechanism involved is similar to that studied in Hall (1983). Vortices with wavenumber comparable to the layer thickness are shown to be described by partial differential equations that govern the system numerically. We assume that the Rayleigh layer is thin so particles are confined to move in a path with radius of curvature the same as the cylinder. The Goertler number is a function of time, so we consider the time scale which produces an order one Goertler number. We consider the right hand branch calculation by letting the time tend to infinity. Inviscid Goertler modes are also considered.
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1991
- Accession Number
- ADA242160
Entities
People
- S. R. Otto