Lift force due to odd Hall viscosity

Kogan, E.

doi:10.1103/physreve.94.043111

Cited by 19 publications

(12 citation statements)

References 17 publications

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“…5.1. Odd viscous flow past a sphere Two-dimensional flows past obstacles in the presence of a non-dissipative (odd) viscosity have previously been studied experimentally in Soni et al (2019) and theoretically in Kogan (2016). Lapa & Hughes (2014) also analysed the consequences on swimmers at low Reynolds numbers.…”

Section: Odd Viscous Flow Past An Obstaclementioning

confidence: 99%

“…In these two-dimensional cases, only the pressure field is modified by the additional viscous terms, while the velocity field remains unchanged. Nevertheless, Kogan (2016) reported that a lift force appears in the Oseen approximation (including inertia) of the flow past an infinite cylinder due to the non-dissipative viscosity. In this section, we consider three-dimensional flows.…”

Section: Odd Viscous Flow Past An Obstaclementioning

confidence: 99%

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Stokes flows in three-dimensional fluids with odd and parity-violating viscosities

et al. 2022

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The Stokes equation describes the motion of fluids when inertial forces are negligible compared with viscous forces. In this article, we explore the consequence of parity-violating and non-dissipative (i.e. odd) viscosities on Stokes flows in three dimensions. Parity-violating viscosities are coefficients of the viscosity tensor that are not invariant under mirror reflections of space, while odd viscosities are those which do not contribute to dissipation of mechanical energy. These viscosities can occur in systems ranging from synthetic and biological active fluids to magnetized and rotating fluids. We first systematically enumerate all possible parity-violating viscosities compatible with cylindrical symmetry, highlighting their connection to potential microscopic realizations. Then, using a combination of analytical and numerical methods, we analyse the effects of parity-violating viscosities on the Stokeslet solution, on the flow past a sphere or a bubble and on many-particle sedimentation. In all the cases that we analyse, parity-violating viscosities give rise to an azimuthal flow even when the driving force is parallel to the axis of cylindrical symmetry. For a few sedimenting particles, the azimuthal flow bends the trajectories compared with a traditional Stokes flow. For a cloud of particles, the azimuthal flow impedes the transformation of the spherical cloud into a torus and the subsequent breakup into smaller parts that would otherwise occur. The presence of azimuthal flows in cylindrically symmetric systems (sphere, bubble, cloud of particles) can serve as a probe for parity-violating viscosities in experimental systems.

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Section: Odd Viscous Flow Past An Obstaclementioning

confidence: 99%

Section: Odd Viscous Flow Past An Obstaclementioning

confidence: 99%

Stokes flows in three-dimensional fluids with odd and parity-violating viscosities

et al. 2022

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“…It is known that odd viscosity gives rise to anomalous hydrodynamic phenomena, such as robust surface waves at fluid boundaries [23,24] and an instability of a viscous film [25,26]. The hydrodynamic forces acting on various objects have also been studied in the presence of odd viscosity [27][28][29][30][31]. For a laterally moving rigid disk, the presence of a lift force was predicted within the Oseen approximation [27] or by considering a compressible 2D fluid [28].…”

Section: Introductionmentioning

confidence: 99%

“…The hydrodynamic forces acting on various objects have also been studied in the presence of odd viscosity [27][28][29][30][31]. For a laterally moving rigid disk, the presence of a lift force was predicted within the Oseen approximation [27] or by considering a compressible 2D fluid [28]. Moreover, odd viscosity is responsible for the torque acting on objects with time-varying area, such as an expanding bubble [29][30][31].…”

Section: Introductionmentioning

confidence: 99%

Hydrodynamic lift of a two-dimensional liquid domain with odd viscosity

Hosaka,

Komura,

Andelman

2021

Preprint

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We discuss hydrodynamic forces acting on a two-dimensional liquid domain that moves laterally within a supported fluid membrane in the presence of odd viscosity. Since active rotating proteins can accumulate inside the domain, we focus on the difference in odd viscosity between the inside and outside of the domain. Taking into account the momentum leakage from a two-dimensional incompressible fluid to the underlying substrate, we analytically obtain the fluid flow induced by the lateral domain motion, and calculate the drag and lift forces acting on the moving liquid domain. In contrast to the passive case without odd viscosity, the lateral lift arises in the active case only when the in/out odd viscosities are different. The in/out contrast in the odd viscosity leads to nonreciprocal hydrodynamic responses of an active liquid domain.

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“…To shed light on the generic low-energy properties of such quantum Hall states, we construct an effective action for systems with a semi-Dirac phase. Our construction contributes to the quest of understanding Hall viscosities; nondissipative transport coefficients that emerge in the context of topological order [21][22][23][24][25][26][27], fluid dynamics [28][29][30][31][32][33][34][35][36][37][38][39][40], or active matter [41][42][43][44][45][46]. Initially thought of as an elusive transport property, Hall viscosity has been experimentally identified in both hard [47] and soft [48] condensed matter experiments.…”

Section: Introductionmentioning

confidence: 99%

Quantum Hall effective action for the anisotropic Dirac semimetal

et al. 2020

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We present a study of Hall transport in semi-Dirac critical phases. The construction is based on a covariant formulation of relativistic systems with spatial anisotropy. Geometric data together with external electromagnetic fields is used to devise an expansion procedure that leads to a low-energy effective action consistent with the discrete PT symmetry that we impose. We use the action to discuss terms contributing to the Hall transport and extract the coefficients. We also discuss the associated scaling symmetry.

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Lift force due to odd Hall viscosity

Cited by 19 publications

References 17 publications

Stokes flows in three-dimensional fluids with odd and parity-violating viscosities

Stokes flows in three-dimensional fluids with odd and parity-violating viscosities

Hydrodynamic lift of a two-dimensional liquid domain with odd viscosity

Quantum Hall effective action for the anisotropic Dirac semimetal

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