A.A.Gourjii, V.V.Meleshko Analysis of stirring process of passive impurity by vortex ring behind a sphere in oncoming flow of ideal fluid |
Applied hydromechanics, Vol. 9 (81) ¹ 1, (2007) |
| An axisymmetrical interaction of a single thin vortex ring with a sphere in oncoming flow of an ideal incompressible fluid is considered. It is shown, that a vortex ring (Dyson's model, 1893) has a stationary mode of motion in the fluid flow behind the sphere, which is conditionally steady. However, there is a region of parameters of the vortex ring for which the stationary interaction of the vortex ring with a spherical surface is absent. The analysis of an advection problem of a passive fluid in a velocity field of a single vortex ring in the flow behind a spherical surface shows that a mixing process does not proceed at intensive regimes at various modes of vortex movement (stationary, periodic interactions). For most cases the passive fluid flows around the spherical surface with a fluid region positioned nearby to the vortex, which rotates around a vortex core in a cross section of the ring. The shape of this region (a vortex atmosphere) essentially depends on relative thickness of the vortex ring core. Researches show that the volume of the vortex ring atmosphere depends mainly on a distance between the vortex ring and a solid surface. |
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| TEXT LANGUAGE: Russian |