On the correlation between vortex breakdown bubble and planar helicity in Vogel–Escudier flow

Sharma, Manjul; Sameen, A.

doi:10.1017/jfm.2020.43

Cited by 16 publications

(8 citation statements)

References 31 publications

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“…The first observations of VB seem to have been made more than fifty years ago (Peckham & Atkinson 1957) and perhaps, even earlier (see Michaud (1787), figures 2 and 3). While this phenomenon continues to be studied extensively, there seems to be no consensus on its underlying mechanisms (Benjamin 1962; Hall 1972; Leibovich 1984; Brown & Lopez 1990; Moise 2020 b ; Sharma & Sameen 2020). Nevertheless, numerous studies on different swirling flows have documented the rich diversity and wide variety of VB flow states (Harvey 1962; Sarpkaya 1971; Escudier 1988; Billant, Chomaz & Huerre 1998; Ruith et al.…”

Section: Introductionmentioning

confidence: 99%

Hysteresis and turbulent vortex breakdown in transitional swirling jets

Moise

Mathew

2021

J. Fluid Mech.

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Section: Introductionmentioning

confidence: 99%

Hysteresis and turbulent vortex breakdown in transitional swirling jets

Moise

Mathew

2021

J. Fluid Mech.

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“…A grid resolution of false(θ,r,zfalse)=false(257×129×257false) is used for Re<5000 cases and a resolution of false(θ,r,zfalse)=false(385×197×385false) is used for Re=5000 cases. The details of the numerical method and the validation can be found in the literature [12,24], which are not included here for brevity.…”

Section: Set-up Of the Problemsmentioning

confidence: 99%

“…Thus the interest in this problem goes beyond the purely theoretical perspective. As a result, the VE flow is studied extensively in the literature [6][7][8][9][10][11][12], with arguably the most famous being the experimental study by Escudier [9], where he presented a map of the flow states. This map shows the number of vortex breakdown bubbles along with the steady and unsteady regimes of the flow for a wide range of Reynolds numbers and aspect ratios of the cylinder.…”

Section: Introductionmentioning

confidence: 99%

Near-wall vortical structures in domains with and without curved surfaces

Sharma

Nair

Vishnu

et al. 2023

Phil. Trans. R. Soc. A.

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Taylor–Couette flow is a canonical flow to study Taylor–Görtler (TG) instability or centrifugal instability and the associated vortices. TG instability has been traditionally associated with flow over curved surfaces or geometries. In the computational study, we confirm the presence of TG-like near-wall vortical structures in two lid-driven flow systems, the Vogel–Escudier (VE) and the lid-driven cavity (LDC) flows. The VE flow is generated inside a circular cylinder by a rotating lid (top lid in the present study), while the LDC flow is generated inside a square or rectangular cavity by the linear movement of the lid. We look at the emergence of these vortical structures through reconstructed phase space diagrams and find that the TG-like vortices are seen in the chaotic regimes in both flows. In the VE flow, these vortices are seen when the side-wall boundary layer instability sets in at large R e . The VE flow is observed to go to a chaotic state in a sequence of events from a steady state at low R e . In contrast to VE flows, in the LDC flow with no curved boundaries, TG-like vortices are seen at the emergence of unsteadiness when the flow exhibits a limit cycle. The LDC flow is observed to have transitioned to chaos from the steady state through a periodic oscillatory state. Various aspect ratio cavities are examined in both flows for the presence of TG-like vortices. This article is part of the theme issue ‘Taylor–Couette and related flows on the centennial of Taylor’s seminal Philosophical transactions paper (Part 2)’.

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“…Escudier [6], in his seminal work, expanded the map of Vogel [5] to a wide range of parameters. This flow setting is now befittingly known as Vogel-Escudier (VE) flow [7][8][9] and is described in detail later in this section.…”

Section: Introductionmentioning

confidence: 99%

“…They analyzed axisymmetric VE [10,11] flow computationally and proposed a criterion for a breakdown based on negative azimuthal vorticity in the vicinity of the axis. Recently, Sharma & Sameen [9] have shown that planar helicity is negative in the breakdown bubble, and using it, they were able to reconstruct the breakdown bubble for steady as well as unsteady VE flows.…”

Section: Introductionmentioning

confidence: 99%

Vortex breakdown in the small Mach number regimes

Dhurandhar,

Sharma,

Mohan

et al. 2024

Phys. Scr.

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The effect of compressibility for flow inside the cylinder with the top rotating lid (Vogel-Escudier flow) is examined. Three-dimensional Navier-Stokes equations for compressible flow in Cartesian coordinates are used to simulate the flow using open-source OpenFOAM software. The Mach number (Ma) of the flow is varied from 0.1 to 0.3, and the Reynolds number (Re) is varied from 1000 to 5000 for a fixed aspect ratio (Γ = 2.5) of the cylinder. The flow is found to have a transition from a steady axisymmetric state to a non-axisymmetric state exhibiting multiple azimuthal waves as the Mach number and the Reynolds number are varied. The flow field changes significantly with an increase in Ma for unsteady flow at higher Re. An increase in Ma increases the side wall azimuthal instability, as found in the perturbation contour plots and time series analysis. Further, we reconstruct phase portraits to show the dynamics of the flow finally becoming chaotic as the Reynolds number is increased to 5000. Finally, we support the argument with Lyapunov exponents for the higher Re samples. The Lyapunov Exponent is found to increase with Ma.

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On the correlation between vortex breakdown bubble and planar helicity in Vogel–Escudier flow

Cited by 16 publications

References 31 publications

Hysteresis and turbulent vortex breakdown in transitional swirling jets

Hysteresis and turbulent vortex breakdown in transitional swirling jets

Near-wall vortical structures in domains with and without curved surfaces

Vortex breakdown in the small Mach number regimes

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