Wake-Driven Dynamics of Finite-Sized Buoyant Spheres in Turbulence

Mathai, Varghese; Prakash, Vivek N.; Brons, Jon; Sun, Chao; Lohse, Detlef

doi:10.1103/physrevlett.115.124501

Cited by 44 publications

(47 citation statements)

References 32 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The value of this Schmidt number is an open question (Tominaga andStathopoulos 2007, Gualtieri et al 2017). It should probably differ between sediment and buoyant particles such as plastics (Mathai et al 2015), and a size dependence should also be considered.…”

Section: Numerical Simulationsmentioning

confidence: 99%

The physical oceanography of the transport of floating marine debris

Sebille

Aliani

Law

et al. 2020

Environ. Res. Lett.

608

267

View full text Add to dashboard Cite

Marine plastic debris floating on the ocean surface is a major environmental problem. However, its distribution in the ocean is poorly mapped, and most of the plastic waste estimated to have entered the ocean from land is unaccounted for. Better understanding of how plastic debris is transported from coastal and marine sources is crucial to quantify and close the global inventory of marine plastics, which in turn represents critical information for mitigation or policy strategies. At the same time, plastic is a unique tracer that provides an opportunity to learn more about the physics and dynamics of our ocean across multiple scales, from the Ekman convergence in basin-scale gyres to individual waves in the surfzone. In this review, we comprehensively discuss what is known about the different processes that govern the transport of floating marine plastic debris in both the open ocean and the coastal zones, based on the published literature and referring to insights from neighbouring fields such as oil spill dispersion, marine safety recovery, plankton connectivity, and others. We discuss how measurements of marine plastics (both in situ and in the laboratory), remote sensing, and numerical simulations can elucidate these processes and their interactions across spatio-temporal scales. Environ. Res. Lett. 15 (2020) 023003 E van Sebille et al Environ. Res. Lett. 15 (2020) 023003 E van Sebille et al References Acha E M, Mianzan H W, Iribarne O, Gagliardini D A, Lasta C and Daleo P 2003 The role of the Rı́o de la Plata bottom salinity front in accumulating debris Mar. Pollut. Bull. 46 197-202 Acha E M, Piola A, Iribarne O and Mianzan H 2015 Ecological Processes at Marine Fronts: Oases in the Ocean (Berlin: Springer) Aliani S and Molcard A 2003 Hitch-hiking on floating marine debris: macrobenthic species in the Western Mediterranean Sea Hydrobiologia 503 59-67 Allen J 1985 Principles of Physical Sedimentology (Berlin: Springer) Alpers W 1985 Theory of radar imaging of internal waves Nature 314 245-7 Alsina J M and Cáceres I 2011 Sediment suspension events in the inner surf and swash zone. Measurements in large-scale and high-energy wave conditions Coast. Eng. 58

show abstract

Section: Numerical Simulationsmentioning

confidence: 99%

The physical oceanography of the transport of floating marine debris

Sebille

Aliani

Law

et al. 2020

Environ. Res. Lett.

608

267

View full text Add to dashboard Cite

show abstract

“…In the mass dominated regime, ω should primarily be a function of m p . Thus, the transverse acceleration of the particle is given as a p ∼ Fv0 mp sin ωt [20], which leads to a relation for the transverse motion: x p ∼ Fv0 mpω 2 sin ωt. Non-dimensionalizing with the particle diameter D and the mean rise velocity U , we obtain the dimensionless amplitude, A/D ∝ 1/(m * St 2 ), where m * is the dimensionless mass and St ≡ ωD 2π U is the Strouhal number or equivalently the dimensionless vortex shedding frequency [36].…”

Section: (A) and (B) Is Shown Through The Sequence (A)−(d) Inmentioning

confidence: 99%

“…where Ω is the instantaneous angular velocity of the cylinder, D is the cylinder diameter, and Ug ≡ gD|1 − ρp/ρ f | is a gravitational velocity scale [20].…”

Section: (A) and (B) Is Shown Through The Sequence (A)−(d) Inmentioning

confidence: 99%

“…While a dependence on the massdensity ratio is undisputable, others observed wide scatter in their data to the point that there is no consensus with regard to whether a unique critical mass-ratio exists or not [17,18]. Moreover, from a dynamical point of view, the existence of a m * crit lies in contradiction with a fundamental concept: i.e, the motion of a light-particle in a fluid should be fluid added-mass dominated (since m a > m p ) [19,20]. Therefore, it remains surprising that a marginal reduction in mass-density alone would trigger the sudden appearance of large-amplitude oscillations, since the effective mass of the system (actual + added mass) is almost unchanged [21].…”

mentioning

confidence: 99%

See 1 more Smart Citation

Mass and Moment of Inertia Govern the Transition in the Dynamics and Wakes of Freely Rising and Falling Cylinders

et al. 2017

Self Cite

View full text Add to dashboard Cite

In this Letter, we study the motion and wake-patterns of freely rising and falling cylinders in quiescent fluid. We show that the amplitude of oscillation and the overall system-dynamics are intricately linked to two parameters: the particle's mass-density relative to the fluid m * ≡ ρp/ρ f and its relative moment-of-inertia I * ≡ Ip/I f . This supersedes the current understanding that a critical mass density (m * ≈ 0.54) alone triggers the sudden onset of vigorous vibrations. Using over 144 combinations of m * and I * , we comprehensively map out the parameter space covering very heavy (m * > 10) to very buoyant (m * < 0.1) particles. The entire data collapses into two scaling regimes demarcated by a transitional Strouhal number, Stt ≈ 0.17. Stt separates a mass-dominated regime from a regime dominated by the particle's moment of inertia. A shift from one regime to the other also marks a gradual transition in the wake-shedding pattern: from the classical 2S (2-Single) vortex mode to a 2P (2-Pairs) vortex mode. Thus, auto-rotation can have a significant influence on the trajectories and wakes of freely rising isotropic bodies.Path-instabilities are a common observation in the dynamics of buoyant and heavy particles. Common examples are the fluttering of falling leaves and disks, and the cork-screw and spiral trajectories of air-bubbles rising in water [1,2,3]. The oscillatory dynamics of such particles can vary a lot depending on the particle's size, shape and its inertia, and the surrounding flow properties. This can be important in a variety of fields ranging from sediment transport and fluidization to multiphase particleand bubble-column reactors [4,5,6].Examples of organisms that exploit path-instabilities are plants and aquatic animals. These often make use of passive appendages attached to their bodies (plumed seeds, barbs, tails, and protrusions) to generate locomotion [7,8,9]. Recently, Lācis et al. [7] demonstrated that the interaction between the wake of a falling bluff body and a protrusion clamped to its rear end can generate a sidewards drift by means of a symmetry-breaking instability similar to that of an inverted pendulum. Such kinds of passive interactions are advantageous to locomotion, since no energy needs to be spent by the animal. Instead, the energy can be extracted through fluid-structure interaction.

show abstract

“…It should be kept in mind that by using a standard expression for the drag force, the coupling between the particle and fluid phases has been greatly simplified. Current work on suspensions of large, marginally buoyant particles reveals a complex dynamic, with unexpected features such as turbulence attenuation and greater particle fluctuations [Cisse et al, 2015;Mathai et al, 2015]. Across the left boundary of the control volume V, we assume that particles enter V with velocityū 0 =ū 0 (cos , − sin , 0) and solids fraction 0 .…”

Section: Integral Form Of Mass and Momentum Conservationmentioning

confidence: 99%

Impulse waves generated by snow avalanches: Momentum and energy transfer to a water body

et al. 2016

View full text Add to dashboard Cite

When a snow avalanche enters a body of water, it creates an impulse wave whose effects may be catastrophic. Assessing the risk posed by such events requires estimates of the wave's features. Empirical equations have been developed for this purpose in the context of landslides and rock avalanches. Despite the density difference between snow and rock, these equations are also used in avalanche protection engineering. We developed a theoretical model which describes the momentum transfers between the particle and water phases of such events. Scaling analysis showed that these momentum transfers were controlled by a number of dimensionless parameters. Approximate solutions could be worked out by aggregating the dimensionless numbers into a single dimensionless group, which then made it possible to reduce the system's degree of freedom. We carried out experiments that mimicked a snow avalanche striking a reservoir. A lightweight granular material was used as a substitute for snow. The setup was devised so as to satisfy the Froude similarity criterion between the real‐world and laboratory scenarios. Our experiments in a water channel showed that the numerical solutions underestimated wave amplitude by a factor of 2 on average. We also compared our experimental data with those obtained by Heller and Hager (2010), who used the same relative particle density as in our runs, but at higher slide Froude numbers.

show abstract

Wake-Driven Dynamics of Finite-Sized Buoyant Spheres in Turbulence

Cited by 44 publications

References 32 publications

The physical oceanography of the transport of floating marine debris

The physical oceanography of the transport of floating marine debris

Mass and Moment of Inertia Govern the Transition in the Dynamics and Wakes of Freely Rising and Falling Cylinders

Impulse waves generated by snow avalanches: Momentum and energy transfer to a water body

Contact Info

Product

Resources

About