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Original Articles

Collision rate for suspensions at large Stokes numbers – comparing Navier–Stokes and synthetic turbulence

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Pages 15-25 | Received 24 Feb 2014, Accepted 20 Jul 2014, Published online: 30 Aug 2014

References

  • R.A. Shaw, Particle-turbulence interactions in atmospheric clouds, Annu. Rev. Fluid Mech. 35 (2003), pp. 183–227.
  • W.W. Grabowski and L.-P. Wang, Growth of cloud droplets in a turbulent environment, Annu. Rev. Fluid Mech. 45 (2013), pp. 293–324.
  • V.S. Safranov, Evolution of the protoplanetary cloud and formation of earth and planets, NASA Tech. Transl. F-677; Moscow, Nauka, 1969.
  • S. Elghobashi, On predicting particle-laden turbulent flows, Appl. Sci. Res. 52 (1994), pp. 309–329.
  • B.L. Sawford and P.K. Yeung, Kolmogorov similarity scaling for one-particle Lagrangian statistics, Phys. Fluids 23 (2011), 091705.
  • S. Sundaram and L.R. Collins, Numerical considerations in simulating a turbulent suspension of finite volume particles. J. Comput. Phys. 124 (1996), pp. 337–350.
  • S. Sundaram and L.R. Collins, Collisions statistics in an isotropic particle-laden turbulent suspension. Part 1. Direct numerical simulations, J. Fluid Mech. 335 (1997), pp. 75–109.
  • L.P. Wang, A.S. Wexler, and Y. Zhou, Statistical mechanical description and modelling of turbulent collisions of inertial particles, J. Fluid Mech. 415 (2000), pp. 117–153.
  • W.C. Reade and L.R. Collins, Effect of preferential concentration on turbulent collision rates, Phys. Fluids, 12 (2000), pp. 2530–2540.
  • B. Rosa, H. Parishani, O. Ayala, W.W. Grabowski, and L.P. Wang, Kinematic and dynamic collision statistics of cloud droplets from high resolution simulations, New J. Phys. 15 (2013), 045032.
  • G. Falkovich and A. Pumir, Sling effect in collisions of water droplets in turbulent clouds, J. Atmos. Sci. 64 (2007), pp. 4497–4505.
  • J.C.H. Fung, J.C.R. Hunt, N.A. Malik, and R.J. Perkins, Kinemtaic simulation of homogeneous turbulence by unsteady random Fourier modes, J. Fluid Mech. 236 (1992), pp. 281–318.
  • L. Ducasse and A. Pumir, Inertial particle collisions inturbulent synthetic flows: Quantifying the sling effect, Phys. Rev. E 80 (2009), 066312.
  • R.H.A. IJzermans, E. Meneguz, and M.W. Reeks, Segregation of particles in incompressible random flows: Singularities, intermittency and random uncorrelated motion, J. Fluid Mech. 653 (2010), pp. 99–136.
  • M.R. Maxey and J.J. Riley, Equation of motion for a small rigid sphere in a nonuniform flow, Phys. Fluids 26 (1983), pp. 883–889.
  • R. Gatignol, The Faxen formulae for a rigid particle in an unsteady non-uniform Stokes flow, J. Mec. Theor. Appl. 1 (1983), pp. 143–160.
  • M. Voßkuhle, A. Pumir, E. Leveque, and M. Wilkinson, Multiple collisions in turbulent flows, Phys. Rev. E 88 (2013), 063008.
  • P.G. Saffman and J.S. Turner, On the collsion of drops in turbulent clouds, J. Fluid. Mech. 1 (1956), pp. 16–30.
  • M.R. Maxey, The gravitational settling of aerosol particles in homogeneous turbulence and random flow fields, J. Fluid Mech. 174 (1987), pp. 441–465.
  • M. Wilkinson and B. Mehlig, Caustics in turbulent aerorols, Europhys. Lett. 71 (2005), pp. 186–192.
  • M. Wilkinson, B. Mehlig, and V. Bezuglyy, Caustics activation of rain showers, Phys. Rev. Lett. 97 (2006), 048501.
  • G. Falkovich, A. Fouxon, and M.G. Stepanov, Acceleration of rain initiation by cloud turbulence, Nature 419 (2002), pp. 151–154.
  • K. Gustavsson and B. Mehlig, Distribution of relative velocities in turbulent aerosols, Phys. Rev. E 84 (2011), 045304.
  • M. Voßkuhle, A. Pumir, E. Leveque, and M. Wilkinson, Prevalence of the sling effect for enhancing collision rates in turbulent suspensions, J. Fluid Mech. 749 (2014), pp. 841–852.
  • H.J. Völk, F.C. Jones, G.E. Morfill, and S. Röser, Collisions between grains in a turbulent gas, Astron. Atrophys. 85 (1980), pp. 316–325.
  • B. Mehlig, V. Uski, and M. Wilkinson, Colliding particles in highly turbulent flows, Phys. Fluids 19 (2007), 098107.
  • T. Ishihara, T. Gotoh, and Y. Kaneda, Study of high-Reynolds number isotropic turbulence by direct numerical simulation, Ann. Rev. Fluid Mech. 41 (2009), pp. 165–180.
  • P.K. Yeung, D.A. Donzis, and K.R. Sreenivasan, Dissipation, enstrophy and pressure statistics in turbulence simulation at high Reynolds numbers, J. Fluid Mech. 700 (2012), pp. 5–15.
  • K. Gustavsson and B. Mehlig, Relative velocities of inertial particles in turbulent aerosols, J. Turbul. 15 (2014), pp. 34–69.
  • M. Wilkinson, B. Mehlig, S. Östlund, and K.P. Duncan, Unmixing in random flows, Phys. Fluids, 19 (2007), 113303.
  • D.J. Thomson and B. Devenish, Particle pair separation in kinematic simulations, J. Fluid Mech. 526 (2005), pp. 277–302.
  • L. Chen, S. Goto, and J.C. Vassilicos, Turbulent clustering of stagnation points and inertial particles, J. Fluid Mech. 553 (2006), pp. 143–154.

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