Targeted particle delivery via vortex ring reconnection

Mouallem, Joseph; Daryan, Hamid; Wawryk, Joshua; Pan, Zhao; Hickey, Jean-Pierre

doi:10.1063/5.0066443

Cited by 8 publications

(2 citation statements)

References 36 publications

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“…Surface-tangential vorticity from the upper part of the vortex ring diffuses out of the fluid at the free-slip boundary, causing the vortex ring to open up and attach to the surface. For the mathematically equivalent problem of an oblique interaction between two identical vortex rings (Kida, Takaoka & Hussain 1991;Yao & Hussain 2020;Mouallem et al 2021), a related phenomena known as vortex reconnection occurs. Here, the two vortex rings open due to the cross-diffusive annihilation of opposite-signed vorticity, and the open ends of the two vortex rings are reconnected to form a single vortex ring.…”

Section: Vortex Ring Interactions With a Partial-slip Boundarymentioning

confidence: 99%

Vorticity dynamics at partial-slip boundaries

Terrington,

Thompson,

Hourigan

2024

J. Fluid Mech.

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In this paper we discuss the dynamics of vorticity at partial-slip boundaries. We consider the total vector circulation, which includes both the total vorticity of the fluid and the slip velocity at the boundary (the interface vortex sheet). The generation of vector circulation is an inviscid process, which does not depend on either viscosity or the slip length at the boundary. Vector circulation is generated by the inviscid relative acceleration between the fluid and the solid, due to either tangential pressure gradients or tangential acceleration of the partial-slip wall. While the slip length does not affect the creation of vector circulation, it governs how vector circulation is distributed between the total vorticity of the fluid and the interface vortex sheet. Specifically, the partial-slip boundary condition prescribes the ratio between boundary vorticity and the strength of the interface vortex sheet, and the viscous boundary flux transfers vector circulation between the interface vortex sheet and the fluid interior to maintain this condition. The interaction between a vortex ring and a partial-slip wall is examined to highlight various aspects of this formulation. For the head-on collision, the quantity of vector circulation diffused into the fluid as secondary vorticity increases as the slip length is decreased, resulting in a stronger secondary vortex and increased rebound of the vortex ring. For the oblique interaction, the extent to which the vortex ring connects to the boundary increases as the slip length is increased.

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Section: Vortex Ring Interactions With a Partial-slip Boundarymentioning

confidence: 99%

Vorticity dynamics at partial-slip boundaries

Terrington,

Thompson,

Hourigan

2024

J. Fluid Mech.

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“…In another example of targeted particle delivery, the controlled vortex rings reconnection is used, which changes the topology of the vortex ring, accompanied by repulsion in the plane perpendicular to the direction of propagation [14][15][16]. Several experimental studies focused on the flight distance of particles inside a vortex ring depending on the initial conditions [17][18][19][20][21][22][23][24], and theoretical estimates of the main vortex parameters were presented [25][26][27].…”

Section: Introductionmentioning

confidence: 99%

Transporting Particles with Vortex Rings

Gulinyan,

Kuzikov,

Podgornyi

et al. 2023

Fluids

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Due to their long-lived nature, vortex rings are highly promising for the non-contact transportation of colloidal microparticles. However, because of the high complexity of the structures, their description using rigorous, closed-form mathematical expressions is challenging, particularly in the presence of strongly inhomogeneous colloidal suspensions. In this work, we comprehensively study this phenomenon, placing special emphasis on a quantitative description of the ability of vortex rings to move the particles suspended in a liquid over distances significantly exceeding the ring’s dimensions. Moreover, within the study, we present straightforward analytical approximations extracted by using the fitting of the experimental and numerical simulation observations that reveal the dynamics of vortex rings transporting the microparticles. It includes both the dependence of the concentration on the distance traveled by the vortex ring and coefficients describing the evolution of vortex ring shape in time, which were not presented in the literature before. It turns out that despite the fact that 2D modeling is a simplification of the full 3D problem solution and is unable to capture some of the minor effects of real behavior, it has demonstrated a good consistency with the results obtained via experiments regarding the process of particles transportation.

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Oblique collision and reconnection of a vortex ring with a vortex tube

Nguyen

Duong

Le³

2021

Physics of Fluids

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The oblique collision and reconnection of a vortex ring and a vortex tube are numerically investigated using a sixth-order accurate vortex-in-cell method. At the oblique collision angle (α) of 0°, the reconnection occurs, in which half of the ring joins with a part of the tube to create a reconnected ring, and another half of the ring links to the rest of the tube to establish a new reconnected tube. At α = 15°, 30°, and 45°, two reconnections take place, where the first one generates a distorted reconnected tube, and then this tube reconnects itself to construct a new ring and a tube. The secondary vortex structures only appear surrounding the reconnected ring at α = 0°, while they are around both the reconnected ring and tube at α = 30° and 45°. As α increases, the time interval τ between two reconnections rises, and it is determined by a quadratic function as τ(α)=0.0037α2+0.0853α+0.975. The energy spectrum of the flow at the wavenumber (k) from 3 to 10 obeys the k−5/3 slope of a fully turbulent flow, and it is independent of α. However, the energy spectrum at the high wavenumber from 10 to 60 depends on α. This energy spectrum approaches the k−5/3 slope after the second reconnection for whole investigated cases.

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Targeted particle delivery via vortex ring reconnection

Cited by 8 publications

References 36 publications

Vorticity dynamics at partial-slip boundaries

Vorticity dynamics at partial-slip boundaries

Transporting Particles with Vortex Rings

Oblique collision and reconnection of a vortex ring with a vortex tube

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