Choking conditions for nonuniform viscous flows

Higuera Antón, Francisco and Liñán Martínez, Amable (1993). Choking conditions for nonuniform viscous flows. "Physics of Fluids. A, Fluids Dynamics", v. 5 (n. 3); pp. 768-770. ISSN 0899-8213.


Title: Choking conditions for nonuniform viscous flows
  • Higuera Antón, Francisco
  • Liñán Martínez, Amable
Item Type: Article
Título de Revista/Publicación: Physics of Fluids. A, Fluids Dynamics
Date: 1993
ISSN: 0899-8213
Volume: 5
Faculty: E.T.S.I. Aeronáuticos (UPM)
Department: Motopropulsión y Termofluidodinámica [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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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.

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Item ID: 1377
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Deposited by: Biblioteca ETSI Aeronauticos
Deposited on: 19 Feb 2009
Last Modified: 20 Apr 2016 06:48
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