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Making droplets glow in turbulence

Humberto Bocanegra Evans1,2, Nico Dam3, Guus Bertens1,4, and Willem van de Water1,5,*

  • 1Physics Department, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands
  • 2School of Mechanical Engineering, Purdue University, West Lafayette, Indiana 47907, USA
  • 3Mechanical Engineering Department, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands
  • 4Max Planck Institute for Dynamics and Self-Organization, Göttingen, Germany
  • 5Laboratory for Aero and Hydrodynamics, Delft University of Technology and J.M. Burgers Centre for Fluid Dynamics, 2628 CD Delft, The Netherlands

  • *Corresponding author: w.vandewater@tudelft.nl; present address: Laboratory for Aero and Hydrodynamics, Delft University of Technology and J.M. Burgers Centre for Fluid Dynamics, 2628 CD Delft, The Netherlands.

Phys. Rev. Fluids 5, 044303 – Published 7 April, 2020

DOI: https://doi.org/10.1103/PhysRevFluids.5.044303

Abstract

We present a new technique to study preferential concentration of droplets in a turbulent air flow. Preferential concentration is the tendency of droplets to cluster in regions of strain, while avoiding regions of rotation. We study the properties of the droplet concentration field in zero mean flow turbulence that was created using an array of synthetic jets. The droplets are made of a phosphorescent solution of Europium chelate. They are excited by a laser sheet from a pulsed UV laser, after which the glowing droplets are followed using a high-speed intensified camera. We quantify preferential concentration through measurement of moments of the coarse-grained local droplet density. At the Stokes numbers studied (St2) the fractal dimension, a scaling property of this coarse-grained density field, points to clustering. Clustering is a consequence of the compressibility of the droplet velocity field. We also quantify the dynamical behavior of clustering by moving with this velocity field. We find a preference for clustering in the Lagrangian frame during the time interval set by the decay of the phosphorescence.

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References (38)

  1. R. A. Shaw, Particle-turbulence interactions in atmospheric clouds, Annu. Rev. Fluid Mech. 35, 183 (2003).
  2. F. Toschi and E. Bodenschatz, Lagrangian properties of particles in turbulence, Annu. Rev. Fluid Mech. 41, 375 (2009).
  3. S. Balachandar and J. K. Eaton, Turbulent dispersed multiphase flow, Annu. Rev. Fluid Mech. 42, 111 (2010).
  4. H. Bocanegra Evans, N. Dam, G. Bertens, D. van der Voort, and W. van de Water, Dispersion of Droplet Clouds in Turbulence, Phys. Rev. Lett. 117, 164501 (2016).
  5. M. R. Maxey, The gravitational settling of aerosol particles in homogeneous turbulence and random flow fields, J. Fluid Mech. 174, 441 (1987).
  6. K. D. Squires and J. K. Eaton, Prefential concentration of particles by turbulence, Phys. Fluids A 3, 1169 (1991).
  7. S. Ayyalasomayajula, Z. Warhaft, and L. R. Collins, Modeling inertial particle acceleration statistics in isotropic turbulence, Phys. Fluids 20, 095104 (2008).
  8. G. Falkovich, A. Fouxon, and M. G. Stepanov, Acceleration of rain initiation by cloud turbulence, Nature 419, 151 (2002).
  9. M. Wilkinson and B. Mehlig, Caustics in turbulent aerosols, Europhys. Lett. 71, 186 (2005).
  10. G. P. Bewley, E.-W. Saw, and E. Bodenschatz, Observation of the sling effect, New J. Phys. 15, 083051 (2013).
  11. E. Saw, R. Shaw, S. Ayyalasomayajula, P. Chuang, and Á. Gylfason, Inertial Clustering of Particles in High-Reynolds-Number Turbulence, Phys. Rev. Lett. 100, 214501 (2008).
  12. E.-W. Saw, R. Shaw, J. P. L. C. Salazar, and L. R. Collins, Spatial clustering of polydisperse inertial particles in turbulence: II. Comparing simulation with experiment, New J. Phys. 14, 105031 (2012).
  13. J. P. L. C. Salazar, J. De Jong, L. Cao, S. H. Woodward, H. Meng, and L. R. Collins, Experimental and numerical investigation of inertial particle clustering in isotropic turbulence, J. Fluid Mech. 600, 245 (2008).
  14. E. Calzavarini, M. Kerscher, D. Lohse, and F. Toschi, Dimensionality and morphology of particle and bubble clusters in turbulent flow, J. Fluid Mech. 607, 13 (2008).
  15. J. L. Kaplan and J. A. Yorke, Chaotic behavior of multidimensional difference equations, in Functional Differential Equations and Approximations of Fixed Points, edited by H. O. Peitgen and H. O. Walther (Springer, Berlin, 1979), Vol. 703, pp. 204–227.
  16. J. Bec, L. Biferale, M. Cencini, A. Lanotte, S. Musacchio, and F. Toschi, Heavy Particle Concentration in Turbulence at Dissipative and Inertial Scales, Phys. Rev. Lett. 98, 084502 (2007).
  17. R. Monchaux, M. Bourgoin, and A. Cartellier, Preferential concentration of heavy particles: A Voronoï analysis, Phys. Fluids 22, 103304 (2010).
  18. E. Balkovsky, G. Falkovich, and A. Fouxon, Intermittent Distribution of Inertial Particles in Turbulent Flows, Phys. Rev. Lett. 86, 2790 (2001).
  19. W. R. Lempert, P. Ronney, and K. Magee, Flow tagging velocimetry in incompressible flow using photo-activated nonintrusive tracking of molecular motion (PHANTOMM), Exp. Fluids 18, 249 (1995).
  20. R. B. Miles, C. Cohen, J. J. Connors, P. J. Howard, S. Huang, E. C. Markovitz, and G. Russell, Velocity measurements by vibrational tagging and fluorescent probing of oxygen, Opt. Lett. 12, 861 (1987).
  21. A. Noullez, G. Wallace, W. Lempert, R. B. Miles, and U. Frisch, Transverse velocity increments in turbulent flow using the relief technique, J. Fluid Mech. 339, 287 (1997).
  22. N. Dam, R. J. H. Klein-Dowel, N. M. Sijtsema, and J. J. ter Meulen, Nitric oxide flow tagging in unseeded air, Opt. Lett. 26, 36 (2001).
  23. J. Bominaar, M. Pashtrapanska, T. Elenbaas, N. Dam, H. ter Meulen, and W. van de Water, Writing in turbulent air, Phys. Rev. E 77, 046312 (2008).
  24. M. M. Koochesfahani and D. G. Nocera, Molecular Tagging Velocimetry, in Springer Handbook of Experimental Fluid Mechanics, edited by C. Tropea, A. Yarin, and F. J. Foss (Springer Verlag, Berlin, 2007), Chap. 5.4.
  25. S. Krüger and G. Grünefeld, Droplet velocity and acceleration measurements in dense sprays by laser flow tagging, Appl. Phys. B 71, 611 (2000).
  26. E. F. G. Dickson, A. Pollak, and E. P. Diamandis, Time-resolved detection of lanthanide luminescence for ultrasensitive bioanalytical assays, J. Photochem. Photobiol. B 27, 3 (1995).
  27. N. Arnaud and J. Georges, Comprehensive study of the luminescent properties and lifetimes of Eu3+ and Tb3+ chelated with various ligands in aqueous solutions: Influence of the synergic agent, the surfactant and the energy level of the ligand triplet, Spectrochim. Acta A 59, 1829 (2003).
  28. W. Hwang and J. K. Eaton, Creating homogeneous and isotropic turbulence without a mean flow, Exp. Fluids 36, 444 (2004).
  29. J. Sheng, H. Meng, and R. O. Fox, A large eddy PIV method for turbulence dissipation rate estimation, Chem. Eng. Sci. 55, 4423 (2000).
  30. G. Bertens, D. van der Voort, and W. van de Water, Large-eddy estimate of the turbulent dissipation rate using piv, Exp. Fluids 56, 89 (2015).
  31. J. Smagorinsky, General circulation experiments with the primitive equations, I. The basic experiment.Mon. Weather Rev. 91, 99 (1963).
  32. W. H. Walton and W. C. Prewett, The production of sprays and mists of uniform drop size by means of spinning disc type sprayers, Proc. Phys. Soc. London, Sect. B 62, 341 (1949).
  33. G. König, K. Anders, and A. Frohn, A new light-scattering technique to measure the diameter of periodically generated moving droplets, J. Aerosol Sci. 17, 157 (1986).
  34. H.-E. Albrecht, M. Borys, N. Damaschke, and C. Tropea, Laser Doppler and Phase Doppler Measurement Techniques (Springer Verlag, Berlin, 2003).
  35. H. Bocanegra Evans, N. Dam, D. van der Voort, G. Bertens, and W. van de Water, Measuring droplet size distributions from overlapping interferometric particle images, Rev. Sci. Instrum. 86, 023709 (2015).
  36. T. C. Halsey, M. H. Jensen, L. P. Kadanoff, I. Procaccia, and B. I. Shraiman, Fractal measures and their singularities: The characterization of strange sets, Phys. Rev. A 33, 1141 (1986).
  37. B. B. Mandelbrot, The Fractal Geometry of Nature (W.H. Freeman, San Francisco, 1983), p. 468.
  38. J. Westerweel and F. Scarano, Universal outlier detection for PIV data, Exp. Fluids 39, 1096 (2005).

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