Direct numerical simulations of three-dimensional bubbly flows

Direct numerical simulations of the motion of many buoyant bubbles are presented. The Navier–Stokes equation is solved by a front tracking/finite difference method that allows a fully deformable interface. The evolution of 91 nearly spherical bubbles at a void fraction of 6% is followed as the bubbles rise over 100 bubble diameters. While the individual bubble velocities fluctuate, the average motion reaches a statistical steady state with a rise Reynolds number of about 25.

[1]  Gretar Tryggvason,et al.  Direct numerical simulations of bubbly flows. Part 1. Low Reynolds number arrays , 1998, Journal of Fluid Mechanics.

[2]  S. Elghobashi,et al.  Direct simulation of particle dispersion in a decaying isotropic turbulence , 1992, Journal of Fluid Mechanics.

[3]  Asghar Esmaeeli,et al.  An inverse energy cascade in two-dimensional low Reynolds number bubbly flows , 1996, Journal of Fluid Mechanics.

[4]  C. Pozrikidis,et al.  Significance of the dispersed-phase viscosity on the simple shear flow of suspensions of two-dimensional liquid drops , 1998, Journal of Fluid Mechanics.

[5]  M. Maxey,et al.  Settling velocity and concentration distribution of heavy particles in homogeneous isotropic turbulence , 1993, Journal of Fluid Mechanics.

[6]  S. Zaleski,et al.  DIRECT NUMERICAL SIMULATION OF FREE-SURFACE AND INTERFACIAL FLOW , 1999 .

[7]  G. Tryggvason,et al.  A front-tracking method for viscous, incompressible, multi-fluid flows , 1992 .

[8]  Gretar Tryggvason,et al.  Computations of multiphase flows by a finite difference/front tracking method. I. Multi-fluid flows , 1998 .

[9]  E. J. Hinch,et al.  Numerical simulation of a concentrated emulsion in shear flow , 1996, Journal of Fluid Mechanics.

[10]  Mihail C. Roco,et al.  Particulate two-phase flow , 1993 .

[11]  Gretar Tryggvason,et al.  Computations of multi-fluid flows , 1992 .

[12]  D. Joseph,et al.  Nonlinear mechanics of fluidization of beds of spherical particles , 1987, Journal of Fluid Mechanics.

[13]  K. Squires,et al.  Measurements of particle dispersion obtained from direct numerical simulations of isotropic turbulence , 1991, Journal of Fluid Mechanics.

[14]  A. Sangani,et al.  Sedimentation in ordered emulsions of drops at low Reynolds numbers , 1987 .

[15]  James J. Feng,et al.  Direct simulation of initial value problems for the motion of solid bodies in a Newtonian fluid Part 1. Sedimentation , 1994, Journal of Fluid Mechanics.