학술논문

Conditions of the existence of vortex Ferri singularities in supersonic conical flows.
Document Type
Article
Source
Fluid Dynamics. Jan2015, Vol. 50 Issue 1, p118-136. 19p. 5 Diagrams, 2 Charts, 10 Graphs.
Subject
*VORTEX methods
*SUPERSONIC flow
*BOW shock (Astrophysics)
*SHOCK waves
*MATHEMATICAL singularities
*NUMERICAL calculations
Language
ISSN
0015-4628
Abstract
The parameters determining the properties of the branching points on shock waves in conical flows and responsible for the existence of inviscid vortex structures in shock layers are established. The quantitative data for these parameters corresponding to the generation of the vortex Ferri singularities are presented. They are based on the results of an analysis of the numerical calculations of inviscid flow around V-wings of different geometries at the Mach numbers from the 3 ≤ M ≤ 10 range with the bow shock corresponding to the Mach-type interaction between the shocks attached to the leading edges. It is shown that at about M ≤ 2.35 the vortex structures no longer exist in the shock layers of conical flows. It is established that in the particular flow regimes characterized by regular-to-Mach-type transition of the pattern of interaction between the shocks attached to the leading edges an increase of the 'blow-up' type in the shock layer thickness can be observable. The experimental data confirm the existence of the vortex Ferri singularities at the corresponding values of the relevant parameters. [ABSTRACT FROM AUTHOR]