Numerical simulation of a viscous vortex ring interaction with a density interface

Marcus, Daniel L.; Bell, John B.

doi:10.1063/1.868264

Cited by 18 publications

(11 citation statements)

References 21 publications

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“…Related research treats the interface as a free surface instead of a finite density gradient [41][42][43][44][45], but this typically requires a boundary element integral solution, which is not included in the present implementation. Marcus and Bell [46] present results from axisymmetric Navier-Stokes calculations for the non-Boussinesq case. A three-dimensional vortex particle method was used by Liu [47,48] to study the normal impact of a vortex ring into a wall.…”

Section: Resultsmentioning

confidence: 98%

Impact of a vortex ring on a density interface using a regularized inviscid vortex sheet method

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Dahm

Tryggvason

2008

Journal of Computational Physics

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Section: Resultsmentioning

confidence: 98%

Impact of a vortex ring on a density interface using a regularized inviscid vortex sheet method

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Dahm

Tryggvason

2008

Journal of Computational Physics

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“…For example, a secondary (even tertiary) vortex [9] may be generated in the stretching and rebounding stage and the vorticity dissipation usually exists in the real flow. Thus, the present model remains to be improved.…”

Section: Discussionmentioning

confidence: 99%

“…In the axisymmetric case, work has been done mainly on experimental investigations [5~~]. Some numerical and analytical results have also been published [6,s~l~ In particular, the viscosity of the fluid was taken into account by Marcus et al [9] and Wu et alflo]. So far, to the best of the authors' knowledge, inviscid theoretical results provide no detailed information about the evolution process of the vortex ring since too simple models were used to represent the vortex.…”

Section: Introductionmentioning

confidence: 99%

The nonlinear interaction of vortex rings with a free surface

Quyuan

Chu

1997

Acta Mech Sinica

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Nonlinear interactions of vortex rings with a free surface are considered in an incompressible, ideal fluid using the vortex contour dynamics technique and the boundary integral equation method. The flow is axisymmetric and the vorticity is linearly distributed in the vortex. Effects of the gravity and the surface tension as well as the initial geometric parameter of the vortex on the interaction process are investigated in considerable detail. The interaction process may be divided into three major stages: the vortex free-traveling stage, the collision stage, and the vortex stretching and rebounding stage. Time evolutions of both the vortex and free surface under various conditions are provided and analyzed. Two kinds of waves exist on the free surface during interaction. In a special case where the gravity and surface tension are very weak or the vortex is very strong, an electric-bulb-like 'cavity' is formed on the free surface and the vortex is trapped in the 'cavity' for quite a long time, resulting in a large amount of fluid above the mean fluid surface.

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“…The interaction between the vortices and the mixing layer is much more complex in the more general case of counterflowing streams with different densities [46,47], which is not treated here. In this case vorticity is generated at the interface by baroclinic effects, which affects strongly the dynamics of the vortices and the interface distortion.…”

Section: Description Of the Velocity Fieldmentioning

confidence: 99%

On the dynamics of flame edges in diffusion-flame/vortex interactions

Hermanns

Vera

Liñán

2007

Combustion and Flame

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We analyze the local flame extinction and reignition of a counterflow diffusion flame perturbed by a laminar vortex ring. Local flame extinction leads to the appearance of flame edges separating the burning and extinguished regions of the distorted mixing layer. The dynamics of these edges is modeled based on previous numerical results, with heat release effects fully taken into account, which provide the propagation velocity of triple and edge flames in terms of the upstream unperturbed value of the scalar dissipation. The temporal evolution of the mixing layer is determined using the classical mixture fraction approach, with both unsteady and curvature effects taken into account. Although variable density effects play an important role in exothermic reacting mixing layers, in this paper the description of the mixing layer is carried out using the constant density approximation, leading to a simplified analytical description of the flow field. The mathematical model reveals the relevant nondimensional parameters governing diffusion-flame/vortex interactions and provides the parameter range for the more relevant regime of local flame extinction followed by reignition via flame edges. Despite the simplicity of the model, the results show very good agreement with previously published experimental results.

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Numerical simulation of a viscous vortex ring interaction with a density interface

Cited by 18 publications

References 21 publications

Impact of a vortex ring on a density interface using a regularized inviscid vortex sheet method

Impact of a vortex ring on a density interface using a regularized inviscid vortex sheet method

The nonlinear interaction of vortex rings with a free surface

On the dynamics of flame edges in diffusion-flame/vortex interactions

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