Journal ArticleDOI
Synopsis of Vogel–Escudier flow
Manjul Sharma,A. Sameen +1 more
TLDR
In this paper, the topology and the dynamics of Vogel-Escudier flow are investigated using a direct numerical simulation of the Navier-Stokes equations in cylindrical coordinates.Abstract:
The topology and the dynamics of Vogel–Escudier flow, which is the flow inside a circular cylinder with a top rotating lid, are presented in this paper. A three-dimensional direct numerical simulation of the Navier–Stokes equations in cylindrical coordinates is used to investigate the flow. Various combinations of Reynolds number and aspect ratio are studied and classified based on the flow topology. The flow is found to exhibit steady axisymmetric, unsteady axisymmetric, rotating azimuthal waves, and weak turbulence regimes. The perturbations found in the system are characteristically different for various flow regimes and are used for the classification of flow. The presence of several modes at high Reynolds number suggests a weak turbulence state, and a Taylor–Gortler type instability wave is found in the sidewall boundary layer.read more
Citations
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Journal ArticleDOI
Internal vortex breakdowns with stair-step change in rotating flows
TL;DR: In this paper , the authors performed thousands of numerical simulations in a sealed cylinder utilizing the finite element approach and obtained abundant internal vortex breakdown patterns for different aspect ratios as the Reynolds number (Re) increased.
Journal ArticleDOI
Near-wall vortical structures in domains with and without curved surfaces
TL;DR: In this paper , the Vogel-Escudier (VE) and the lid-driven cavity (LDC) flows were investigated for the presence of Taylor-Görtler vortices.
Journal ArticleDOI
Changing interface conditions in a two-fluid rotating flow
TL;DR: In this paper , a plenoptic measurement technique was used to reveal a striking nonlinear-physics phenomenon of fundamental and practical interest changing conditions at the interface of two swirling immiscible fluids filling a vertical cylindrical container.
Journal ArticleDOI
Effect of heating on topology of vortex breakdown in Vogel–Escudier flow
TL;DR: In this paper, the effect of unstable thermal stratification on vortex breakdown in Vogel-Escudier flow was examined in the presence of buoyancy and the influence of Ra on a vortex breakdown bubble and its relation to azimuthal vorticity.
References
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Journal ArticleDOI
Vortex breakdown: a review
O. Lucca-Negro,Timothy O'Doherty +1 more
TL;DR: The authors reviewed the studies undertaken on vortex breakdown over the past 45 years and provided a "guide" to the literature and where necessary directed the reader to more indepth reviews in specific areas.
Journal ArticleDOI
The structure of vortex breakdown
TL;DR: In this article, the authors present a survey of vortex breakdown, which is a disturbance characterized by the formation of an internal stagnation point on the vortex axis, followed by reversed flow in a region of limited axial extent.
Journal ArticleDOI
Theory of the vortex breakdown phenomenon
TL;DR: In this paper, it is shown that vortex breakdown is not a manifestation of instability or of any other effect indicated by study of infinitesimal disturbances alone, but instead a finite transition between two dynamically conjugate states of axisymmetric flow, analogous to the hydraulic jump in open-channel flow.
Journal ArticleDOI
A Finite-Difference Scheme for Three-Dimensional Incompressible Flows in Cylindrical Coordinates
Roberto Verzicco,Paolo Orlandi +1 more
TL;DR: In this article, a finite-difference scheme for direct simulation of the incompressible time-dependent three-dimensional Navier-Stokes equations in cylindrical coordinates is presented.
Journal ArticleDOI
Vortex stability and breakdown - Survey and extension
TL;DR: In this article, the authors analyse theorique et experimentale des conditions de stabilite and d'eclatement de tourbillons isoles incompressible for des valeurs elevees du nombre de Reynolds.
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