2023-04-01T08:22:25Z
https://oa.upm.es/cgi/oai2
oai:oa.upm.es:1377
2016-04-20T06:48:46Z
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Choking conditions for nonuniform viscous flows
Higuera Antón, Francisco
Liñán Martínez, Amable
Physics
Aeronautics
The laminar viscous compressible flow of a gas in a pipe of -*constant cross section joining two reservoirs is considered. As it is well known, the pipe flow becomes independent of the discharge pressure if this is lower than a critical value. Then it is found that the parabolic equations describing the high Reynolds number flow in the interior of the pipe tend to develop a singularity at the outlet, where the limiting temperature and velocity profiles satisfy a criticality condition. The structure of the nonuniform flow near the outlet consists of an effectively inviscid vortical bulk region and a viscous boundary layer of low velocity, whose thickness tends to zero at the outlet. Matching between these two regions determines the strength of the singularity. This two-layered structure is thought to be generic for nonuniform viscous flows having to satisfy a no-slip'boundary condition; in particular, the thin viscous layer is universal.
E.T.S.I. Aeronáuticos (UPM)
https://creativecommons.org/licenses/by-nc-nd/3.0/es/
1993
info:eu-repo/semantics/article
Article
Physics of Fluids. A, Fluids Dynamics, ISSN 0899-8213, 1993, Vol. 5, No. 3
PeerReviewed
application/pdf
spa
info:eu-repo/semantics/openAccess
https://oa.upm.es/1377/