2 edition of existence of vortex regions in Stokes flow found in the catalog.
existence of vortex regions in Stokes flow
|Contributions||Toronto, Ont. University.|
|The Physical Object|
|Pagination||vii, 210 leaves :|
|Number of Pages||210|
The numerical results of the Navier–Stokes equations for the flow induced by a thick-core vortex reveal an instability for Re≥10 5. First observed in Obabko (, figure B.2), they appear in the form of oscillations in the vorticity . In addition, the existence of another transition region caused by the interaction between the vortex on the lee side of the bluff body and the separation bubble on the ground board. Through computational analysis the minima in the drag and lift coefficients were detected immediately after the critical gap height.
Extending the threshold past mean/2 (increasing the range of values) resulted in a significant increase in identified vortex volume, as regions corresponding to weaker swirling flow were included as part of the vortex core. A visual representation of . 2. Formulation. A thick-core vortex above a plane surface is considered in this investigation. The inviscid flow resulting from the thick-core vortex consists of a semicircular vortex, in which the vorticity is proportional to the stream function, surrounded by the irrotational flow from a circular cylinder in a uniform flow with speed U 0 (Batchelor ).
Q-criterion isosurfaces of the vortex breakdown phenomenon, taken from the instantaneous DES flowfield, are depicted here. Bruckner points out that “the vortex breakdown moves forward as the wing is moved closer to the ground The large vortex expansion is composed of a recirculation region enclosed by the spiralling tail shed from the vortex causes high . Direct numerical simulations of reciprocating pipe flow in a straight pipe with a free-end are presented. The range of amplitudes and frequencies studied span the .
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As a novel passive flow control device, a ring-shaped Karman-vortex generator (KVG) is employed to alleviate the severe flow separation of a conical diffuser with a total divergence angle of 36 ∘ at a R e = × 10 baseline diffuser and 18 controlled schemes with different KVG sizes and location combinations are studied by an implicit large-eddy simulation : Jinwen Yang, Yufei Zhang, Haixin Chen.
User Review - Flag as inappropriate References 1. T.B.A. El-Bashir, Numerical solution of Stokes flow generated by vortices: part 2, inside an elliptical cylinder, Acta Mechanica; (), DOI /s/5(1). When D = 1, the significant feature of flow is that one large vortex occupies almost the entire cavity, as shown in Fig.
center of the large vortex is located at about one-fifth of the cavity depth from the top when Re = As Re increases, the center of the large vortex moves towards the right wall of the cavity and the streamline around the center Cited by: A free or potential vortex is a flow with circular paths around a central point such that the velocity distribution still satisfies the irrotational condition (i.e.
the fluid particles do not themselves rotate but instead simply move on a circular path). See figure 2.
Figure 2: Potential vortex with flow in circular patterns around the Size: 2MB. In the present study, a two-dimensional implicit Navier–Stokes flow solver is developed for the efficient and accurate numerical simulation of vortex convection problems on unstructured meshes. The solver is based on a vertex-centered finite-volume method with Roe’s flux-difference splitting .Cited by: This same author noted, in particular, the existence of a secondary flow region near the bottom of the cavity of aspect ratio A = 1.
Such secondary flows were absent in instances where A was less than unity. VORTEX DYNAMICS OF CAVITY FLOWS t=2 s t=6 s t=8 s t=10 s t=12 s t=20 s FIG. As examples, we identify vortex boundaries as vorticity diffusion barriers in two flows: an explicitly known laminar flow and a numerically generated turbulent Navier-Stokes flow.
Numerical simulations show that the present flow can be divided into four flow patterns based on the vortex dynamics.
The regions of these flow patterns are given in the Stokes. The interaction of two identical circular viscous vortex rings starting in a side-by-side configuration is investigated by solving the Navier–Stokes equation using a spectral method with 64 3 grid points. This study covers initial Reynolds numbers (ratio of.
A numerical investigation was conducted to examine the effect of injection velocity of a pair of air jets positioned at the two shoulders of a circula. In the one-vortex case, it is shown that small, heavy particles may accumulate in elliptic regions of the flow, counter-rotating with respect to the vortex.
When the particle Stokes. In this paper we prove that in two dimensions localized regions of vorticity do evolve toward a vortex. More precisely we prove that any solution of the two-dimensional Navier-Stokes equation whose initial vorticity distribution is integrable converges to an explicit self-similar solution called “Oseen’s vortex”.
This book is a collection of research papers on a wide variety of multigrid topics, including applications, computation and theory. It represents proceedings of.
Rectangular cavity. A long-exposure particle streak image in Fig. 1b (see also corresponding Supplementary Movie 1) illustrates the vortex flow at Re = in the rectangular cavity region (e. Taylor vortex flow between two concentric rotating cylinders with finite axial length includes various patterns of laminar and turbulent flows, and its behavior has attracted great interests.
When mode bifurcation occurs, quantitative parameters such as the volume-averaged energy change rapidly. It is important to visualize the behaviors of vortices. The analysis of instantaneous velocity signals of several probes located in the vortex formation region, point out the existence of a low-frequency fluctuation at the non-dimensional frequency of f m = This large-scale almost periodic motion seems to be related with the modulation of the recirculation bubble which causes its shrinking.
Flow velocity. The solution of the equations is a flow is a vector field - to every point in a fluid, at any moment in a time interval, it gives a vector whose direction and magnitude are those of the velocity of the fluid at that point in space and at that moment in time.
It is usually studied in three spatial dimensions and one time dimension, although the two (spatial. The Reynolds number and the axial Reynolds numbers were andrespectively. As shown in Figure 9, the flow-visualization experiment using a laser-induced fluorescence method clearly revealed that there exist two distinct mixing regions in laminar Taylor vortex flow.
The tracer near the vortex cell boundary was rapidly transported. Zhouping Xin's 67 research works with 3, citations and 3, reads, including: Structural stability of the transonic shock problem in a divergent.
This study investigates the anisotropic characteristics of turbulent energy dissipation rate in a rotating jet flow via direct numerical simulation.
The turbulent energy dissipation tensor, including its eigenvalues in the swirling flows with different rotating velocities, is analyzed to investigate the anisotropic characteristics of turbulence and dissipation. Genta Kawahara's research works with 1, citations and 2, reads, including: Ultimate heat transfer in `wall-bounded' convective turbulence.Fluid mechanics - Fluid mechanics - Navier-stokes equation: One may have a situation where σ11 increases with x1.
The force that this component of stress exerts on the right-hand side of the cubic element of fluid sketched in Figure 9B will then be greater than the force in the opposite direction that it exerts on the left-hand side, and the difference between the two will cause the .Skip to Main Content.