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Abstract

A local criterion is derived for axisymmetric internal flows, which indicates whether a given velocity profile has the tendency to develop towards a separation profile or not, and from which some general rules for the profile development are deduced. Logical criteria are presented for determining the effects of channel shape, viscous force, and mass injection/extraction on axisymmetric and planar velocity profiles. The general frame of the analysis is steady laminar compressible flow, with injection or extraction of mass and small variations of the channel cross-section. Various assumptions are made so that Prandtl's boundary layer approximation of the Navier-Stokes equation applies. Injection and extraction of mass can deform the normalized velocity profile of internal flow in two ways. Either they flatten it, or they produce an opposite or extruding effect. The reversal of the profile deformation depends on the profile shape and the Mach number. Generally, if the profile is sufficiently extruded, both the viscous force and mass injection flatten the profile, whereas mass extraction has an extruding effect. Going to sufficiently flat profiles, all actions reverse.

Additional information

Authors: BUSSE C A, JRC Ispra Estab. (IT)
Bibliographic Reference: Article: Journal of Fluids Engineering, Vol. 109 (1987) pp. 448-452
Record Number: 198910407 / Last updated on: 1994-12-01
Category: PUBLICATION
Original language: en
Available languages: en
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