2021
DOI: 10.1007/s00348-021-03274-9
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The slip velocity of nearly neutrally buoyant tracers for large-scale PIV

Abstract: The behaviour of nearly neutrally buoyant tracers is studied by means of experiments with helium-filled soap bubbles and numerical simulations. The current models used for estimating the slip velocity of heavy micro particles and neutrally buoyant particles are reviewed and extended to include the effect of unsteady forces and particle Reynolds number. The particle motion is analysed via numerical simulations of a rectilinear oscillatory flow and in the flow around an airfoil within a particle flow parameter s… Show more

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Cited by 6 publications
(6 citation statements)
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“…We begin by summarizing previous results on inertial particle dynamics [19,20] using the Maxey-Riley equation [21], which predicts the motion of a small spherical particle of density ρ p , diameter d p , and velocity V p in a fluid of dynamic viscosity µ, density ρ f and velocity U. After introducing corrections for finite particle Reynolds number, the force balance reads [19]…”
Section: Inertial Particle Dynamicsmentioning
confidence: 99%
See 1 more Smart Citation
“…We begin by summarizing previous results on inertial particle dynamics [19,20] using the Maxey-Riley equation [21], which predicts the motion of a small spherical particle of density ρ p , diameter d p , and velocity V p in a fluid of dynamic viscosity µ, density ρ f and velocity U. After introducing corrections for finite particle Reynolds number, the force balance reads [19]…”
Section: Inertial Particle Dynamicsmentioning
confidence: 99%
“…Transfer function analysis shows how the influence of different forces varies with St [19,20,23,24]. Inserting V p = Vp e −iωt and U = Ûe −iωt into equation (1) the ratio H = Vp / Û can be derived, which describes the attenuation, or amplification, of fluid velocity fluctuations by the particle…”
Section: Inertial Particle Dynamicsmentioning
confidence: 99%
“…The last (fifth) term describes the temporal development of the boundary layer surrounding the particle (e.g., thickening) and therefore results in a memory term. This so-called Basset history term is often ignored in the studies considering heavy particles, however, there is an increasing number of recent studies demonstrating that it has a significant influence when the particle is close to neutrally buoyant [22][23][24][25][26][27]. Incorporating this history term is very costly not only in terms of computation but also the memory requirement due to the very slowly decaying kernel, therefore we opted for the efficient second-order method of van Hinsberg et al [26].…”
Section: Particle Solvermentioning
confidence: 99%
“…The glare point diameter in the object space depends not only on the bubble size but also on the imaging conditions, since these affect the subtended angle of light captured by the lens. As discussed by Faleiros et al (2021), this may be approximated as:…”
Section: Imagingmentioning
confidence: 99%