Finite-size coherent particle structures in high-Prandtl-number liquid bridges

Barmak, Ilya; Romanò, Francesco; Kuhlmann, Hendrik C.

doi:10.1103/physrevfluids.6.084301

Cited by 9 publications

(3 citation statements)

References 65 publications

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“…Figure 16 shows the basic temperature ( a ) and the basic axial velocity component ( b ) on the free surface. The parameters have been selected according to Barmak, Romanò & Kuhlmann (2021), i.e. mm, , mm, , K and a closed gas tube.…”

Section: Figure 14mentioning

confidence: 99%

Flow instability in high-Prandtl-number liquid bridges with fully temperature-dependent thermophysical properties

Stojanović,

Romanò,

Kuhlmann

2024

J. Fluid Mech.

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The axisymmetric steady two-phase flow of a differentially heated thermocapillary liquid bridge in air and its linear stability is investigated numerically, taking into account dynamic interfacial deformations in the basic flow. Since most experiments require a high temperature difference to drive the flow into the three-dimensional regime, the temperature dependence of the material properties must be taken into account. Three different models are investigated for a high-Prandtl-number thermocapillary liquid bridge with nominal Prandtl number ${\textit {Pr}}=28.8$ : the Oberbeck–Boussinesq (OB) approximation, a linear temperature dependence of all material properties and a full nonlinear temperature dependence of all material properties. For all models, critical Reynolds numbers are computed as functions of the volume of the liquid bridge, its aspect ratio, its dimensional size and as a function of the strength of a forced axial flow in the ambient air. Under most circumstances the OB approximation overpredicts and the linear model underpredicts the critical Reynolds number, compared with the model based on the full temperature dependence of the material properties. Among the main influence factors are the proper selection of the reference temperature and, at larger temperature differences, the temperature dependence of the viscosity of the liquid.

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Section: Figure 14mentioning

confidence: 99%

Flow instability in high-Prandtl-number liquid bridges with fully temperature-dependent thermophysical properties

Stojanović,

Romanò,

Kuhlmann

2024

J. Fluid Mech.

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“…For both Reynolds numbers, we find that all KAM tori approach the moving wall closely, separated from the lid only by a thin layer of chaotic streamlines. According to Hofmann & Kuhlmann (2011), Romanò & Kuhlmann (2017) and Barmak, Romanò & Kuhlmann (2021), such a situation can promote the creation of stable limit cycles for suspended particles with , i.e. for particles that tend to move similarly to the fluid in the absence of particles.…”

Section: Flow Field Without Particles: Flow Topologymentioning

confidence: 99%

“…This effect is very important in thermocapillary flows (Muldoon & Kuhlmann 2016; Barmak et al. 2021), for which various particle motion attractors have been observed (Schwabe et al. 2007, see e.g.).…”

Section: Key Factors Influencing the Particle Motionmentioning

confidence: 99%

Attractors for the motion of a finite-size particle in a cuboidal lid-driven cavity

Romanò

Kuhlmann

2023

J. Fluid Mech.

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The motion of a finite-size particle in the cuboidal lid-driven cavity flow is investigated experimentally for Reynolds numbers $100$ and $200$ for which the flow is steady. These steady three-dimensional flows exhibit chaotic and regular streamlines, where the latter are confined to Kolmogorov–Arnold–Moser (KAM) tori. The interaction between the moving wall and the particle creates global particle attractors. For neutrally buoyant particles, these attractors are periodic or quasi-periodic, strongly attracting and located in or near KAM tori of the flow. As the density mismatch between particle and fluid increases, buoyancy and inertia become important, and the attractors evolve from those for neutrally buoyant particles, changing their shape, position and attraction rates.

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Thermocapillary-driven coherent structures by low-Stokes-number particles and their morphology in high-aspect-ratio liquid bridges

Terasaki¹,

Sensui²,

Ueno³

2023

International Journal of Heat and Mass Transfer

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Finite-size coherent particle structures in high-Prandtl-number liquid bridges

Cited by 9 publications

References 65 publications

Flow instability in high-Prandtl-number liquid bridges with fully temperature-dependent thermophysical properties

Flow instability in high-Prandtl-number liquid bridges with fully temperature-dependent thermophysical properties

Attractors for the motion of a finite-size particle in a cuboidal lid-driven cavity

Thermocapillary-driven coherent structures by low-Stokes-number particles and their morphology in high-aspect-ratio liquid bridges

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