1991
DOI: 10.1115/1.3119507
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Topology of Flow Separation on Three-Dimensional Bodies

Abstract: In recent years there has been extensive research on three-dimensional flow separation. There are two different approaches: the phenomenological approach and a mathematical approach using topology. These two approaches are reviewed briefly and the shortcomings of some of the past works are discussed. A comprehensive approach applicable to incompressible and compressible steady-state flows as well as incompressible unsteady flow is then presented. The approach is similar to earlier topological approaches to sep… Show more

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Cited by 71 publications
(43 citation statements)
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“…This reattachment is due to the spanwise motion and not to the separated streamlines reaching the wall. The nearbed streamlines resemble those of Allen (1968), and the bulging effect is explained by the saddle point of separation caused by the 3D separation at the sinusoidal crestlines (Chapman & Yates 1991). The average value of the reattachment length is lower for 3D cases than the corresponding 2D case due to the effect of the streamwise vortices, which are correlated with the amplitude of the crestline.…”
Section: Discussionsupporting
confidence: 53%
See 1 more Smart Citation
“…This reattachment is due to the spanwise motion and not to the separated streamlines reaching the wall. The nearbed streamlines resemble those of Allen (1968), and the bulging effect is explained by the saddle point of separation caused by the 3D separation at the sinusoidal crestlines (Chapman & Yates 1991). The average value of the reattachment length is lower for 3D cases than the corresponding 2D case due to the effect of the streamwise vortices, which are correlated with the amplitude of the crestline.…”
Section: Discussionsupporting
confidence: 53%
“…This secondary flow near the bed results in the saddle point of separation over the lobe plane (point C in Figure 3(a), and points S s in Figure 4) and inhibits the reattachment of the separated flow over the lobe. Symmetric 3D separation lines result in "Type I" separation with symmetry breaking discussed by Chapman & Yates (1991), in which a saddle point of separation (S Figure 4) downstream of N s in the symmetry plane (the lobe plane). We will show that the S 2 s points over the lobe plane cause the deformation of the reattachment line (based on our definition), known as "bulging".…”
Section: Problem Formulationmentioning
confidence: 99%
“…This discrepancy is only apparent. As discussed by Perry and Hornung (1984) and Chapman and Yates (1991), many of the surface topological features arise due to vortex interactions in the immediate vicinity of the wall and, when the velocity field is measured above the interaction plane, the saddle-node-saddle will merge to appear as a single saddle point, but the Poincare-Bendixon index remains unchanged and the flow field is still topologically consistent. Fig.…”
Section: Positive Bifurcation Linementioning
confidence: 90%
“…One possibility for a more generic flow field description could be the investigation of singular points [17]. This method was already used in some publications, for instance in [4, 5, 6, 7, 8 17, 18].…”
Section: Introductionmentioning
confidence: 99%