Impact of a vortex dipole with a semi-infinite rigid plate

Peterson, Sean D.; Porfiri, Maurizio

doi:10.1063/1.4820902

Cited by 12 publications

(22 citation statements)

References 32 publications

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“…Earlier experimental and numerical studies have uncovered much about these interactions, and the physics behind it are fairly well understood. [2][3][4][5][6][7][8][9][10][11][12] In the case of a vortex ring, replacing a solid wall with a permeable wall can lead to significant changes in the flow field, and the final outcome of the interaction is strongly influenced by surface permeability, wall structure dimension, wall thickness, and the Reynolds number. Under certain favourably conditions, the primary vortex ring can even pass through the permeable wall and continues as a modified vortex ring in its lee.…”

Section: Introductionmentioning

confidence: 99%

A numerical study of a vortex ring impacting a permeable wall

2014

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In this paper, we numerically simulate a vortex ring impacting a permeable wall by using a lattice Boltzmann method. The study is motivated by recent publications on vortex ring/permeable wall interaction and our desire to address some of the unanswered questions such as evolution of core vorticity, kinetic energy, and enstrophy of the flow field during the interaction. The simulation was conducted for a wide range of parameters, namely, wall open-area ratios (ϕ) (0 ≤ ϕ ≤ 1), wire structure dimensions (A) (0.015 ≤ A ≤ 0.1), wall-thicknesses (H) (0.015 ≤ H ≤ 1), and Reynolds numbers (\documentclass[12pt]{minimal}\begin{document}$Re_\Gamma$\end{document}ReΓ) (\documentclass[12pt]{minimal}\begin{document}$500 \le Re_\Gamma \le 5000$\end{document}500≤ReΓ≤5000). Results show that the flow characteristics upstream and downstream of the permeable wall depends on these parameters. Specifically, increasing ϕ or \documentclass[12pt]{minimal}\begin{document}$Re_\Gamma$\end{document}ReΓ enhances vorticity transport across the permeable wall, leading to a regenerated vortex ring, while increasing H impedes vorticity transportation and the formation of regenerated vortex ring. Moreover, larger A promotes vortex shedding from wire grids and generates fine-scale flow structures in the wake region. The study further shows a strong correlation between the attainment of maximum enstrophy and the lifting of the secondary vortex ring from the wall by the induced velocity of the primary vortex ring. While increasing ϕ causes the peak enstrophy to decrease in the upstream region and increase in the downstream region, increasing wall thickness has the opposite effect on the peak enstrophy. On the other hand, increasing wire dimension reduces peak enstrophy in both the upstream and downstream regions, while increasing Reynolds number has the opposite effect on the peak enstrophy.

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Section: Introductionmentioning

confidence: 99%

A numerical study of a vortex ring impacting a permeable wall

2014

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“…Consequently, the plate is modeled as a Kirchhoff-Love plate, with density ρ s and bending stiffness per unit width B, undergoing pure cylindrical bending 1 . The dipole is completely characterized by its initial advection velocity U and initial radius a (see Peterson and Porfiri (2013) for the pressure and velocity fields associated with a Lamb dipole). The initial spacing between the dipole center and the tip of the plate is selected as d = 4a.…”

Section: Problem Setupmentioning

confidence: 99%

“…The dynamics of oblique dipole/wall collisions were studied by Clercx and Bruneau (2006). Peterson and Porfiri (2013) considered the impact of a vortex dipole with the tip of a semi-infinite rigid plate. Their results show that secondary (and tertiary) dipoles form along the plate in a manner similar to the findings of Orlandi (1990), while vorticity shed from the tip combines with half of the initial dipole to generate a secondary tip dipole.…”

Section: Introductionmentioning

confidence: 99%

“…Their model represents the plate and vortex motion well only when the vortex pair is sufficiently far from the plate; however, the absence of viscosity precludes vorticity production along the plate. As shown in the study of the impact with a semi-infinite rigid plate (Peterson and Porfiri, 2013), the production of vorticity on the plate surface can dramatically influence the overall dynamics during impact. The present investigation considers the impact of a vortex dipole with the tip of a deformable cantilevered plate.…”

Section: Introductionmentioning

confidence: 99%

“…The present investigation considers the impact of a vortex dipole with the tip of a deformable cantilevered plate. Based on the findings from the analytical potential flow fluid-structure interaction model of Peterson and Porfiri (2012a) and their follow-up work of a dipole in a real fluid impacting a semiinfinite rigid plate (Peterson and Porfiri, 2013), the model proposed herein incorporates viscous effects to adequately resolve fluid-structure interactions and the attendant vortex dynamics. Specifically, a strongly coupled staggered FSI simulation is used to investigate the interaction of a Lamb dipole (Lamb, 1932) with a finite length cantilevered plate.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Numerical investigation of the interaction of a vortex dipole with a deformable plate

Zivkov

Yarusevych

Porfiri

et al. 2015

Journal of Fluids and Structures

Self Cite

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Energy harvesting from coherent fluid structures is a current research topic as it pertains to the design of small self-powered sensors for underwater applications. The impact of a vortex dipole with a deformable cantilevered plate at the plate tip is herein studied numerically using a strongly coupled staggered fluid-structure interaction algorithm. Three dipole Reynolds numbers, Re = 500, 1500, and 3000, are investigated for constant plate properties. As the dipole approaches the plate, positive vorticity is produced on the impact face, while negative vorticity is produced at the tip of the plate. Upon impact, the dipole splits in two and two secondary dipoles are formed. The circulation and, therefore, the trajectories of these dipoles depends on both the Reynolds number and the elasticity of the plate, and these secondary dipoles may return for subsequent impacts. While the maximum deflection of the plate does not depend significantly on Reynolds number, the plate response due to subsequent impacts of secondary dipoles does vary with Reynolds number. These results elucidate the strong interdependency between plate deformation and vortex dynamics, as well as the effect of Reynolds number on both.

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Viscous Effects and Their Modeling

Shashikanth

2021

Dynamically Coupled Rigid Body-Fluid Flow Systems

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Impact of a vortex dipole with a semi-infinite rigid plate

Cited by 12 publications

References 32 publications

A numerical study of a vortex ring impacting a permeable wall

A numerical study of a vortex ring impacting a permeable wall

Numerical investigation of the interaction of a vortex dipole with a deformable plate

Viscous Effects and Their Modeling

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