|August 2, 1999, 12:21||
Re: Flow pattern induced instability in a vertical duct.
It is not clear from the question exactly what kind of flow and duct are involved in the problem.
Are you interested in the flow escaping from a vertical duct (like the smoke coming out of chemney)? Then basically what you have is a kind of jet. Do you have buoyancy effects too? The jet by itself is unstable to a shearing (Kelvin-Helmholtz) instability on its surface boundary with the ambient flow, which eventually can lead to turbulence. Then you first will have a wavy-like pattern. If the buoyance effects are also taken into account then you will have in addition a Rayleigh-Taylor instability that makes the flow go upwards (really like a smoke).
Or are you rather interested in the flow inside the duct itself? and instability due to the boundaries of the duct and (again) the buoyancy ?
If you could be more specific, that would help to understand exactly what is the flow problem.
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