1977
DOI: 10.1017/s002211207700055x
|View full text |Cite
|
Sign up to set email alerts
|

The starting mechanism of wave-induced flow through a sharp-edged orifice

Abstract: Following weak plane shock diffraction at a knife-edge situated in a duct, a two-dimensional vortex sheet springs from the salient edge. The method of ‘vortex discretization’ is used, in conjunction with a Schwarz-Christoffel transformation, to develop a two-dimensional potential model for this constrained form of vortex generation. The analysis is independent of empirical parameters and describes, qualitatively, the pattern of streamlines through the orifice.Flow-visualization photographs are presented which … Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
1
1
1

Citation Types

0
8
0

Year Published

1980
1980
2008
2008

Publication Types

Select...
4
3
1

Relationship

0
8

Authors

Journals

citations
Cited by 15 publications
(8 citation statements)
references
References 18 publications
0
8
0
Order By: Relevance
“…A.1. Conformal mapping Following Clements (1973), Evans & Bloor (1977), Cortelezzi (1996) and Coller et al (2000), the no-penetration condition is enforced by employing a conformal mapping. This procedure is computationally cheaper and more accurate for low-order vortex models compared with a computational panel approach (see e.g.…”
Section: Appendix a Vortex Modelmentioning
confidence: 99%
See 1 more Smart Citation
“…A.1. Conformal mapping Following Clements (1973), Evans & Bloor (1977), Cortelezzi (1996) and Coller et al (2000), the no-penetration condition is enforced by employing a conformal mapping. This procedure is computationally cheaper and more accurate for low-order vortex models compared with a computational panel approach (see e.g.…”
Section: Appendix a Vortex Modelmentioning
confidence: 99%
“…Approximately 650 vortices are required to resolve the dynamics of the coherent structures. Similar models have been investigated for the flow around a D-shaped body (Clements 1973), the flow over an edge (Evans & Bloor 1977), the wake flow past a plate (Cortelezzi 1996), the diffuser flow (Coller et al 2000), and the flow around a backward-facing step (Pastoor et al 2003). The no-penetration boundary condition at the walls for the potential flow is enforced by using a conformal mapping from the upper half-plane onto the D-shaped body (see § A.1).…”
Section: Vortex Modelmentioning
confidence: 99%
“…To assess the degree to which the results depend on the computational parameters, we have carried out calculations using two different approaches, one involving a conformal transformation of the flow domain (Evans and Bloor, 1977) The results show that the circulation and vorticity centroid are, as described by the above-mentioned review articles, not sensitive to these variations. For example, there is less than a two percent difference in the computed tip vortex position (ye) for a factor of ten in time step.…”
Section: Computational Proceduresmentioning
confidence: 99%
“…It should be remarked that the present method, unlike that of Evans & Bloor (1977), incorporates the velocity induced by the nascent vortex itself into the determination of its strength by (8).…”
Section: ( 7 )mentioning
confidence: 99%