Evaluation of bubble-induced turbulence using direct numerical simulation

Abstract The presented research evaluates the interaction between a single bubble and homogeneous turbulent flow using direct numerical simulation (DNS) approach. The homogeneous single-phase turbulence is numerically generated by passing a uniform flow through grid planes. The turbulence decay rate is compared with experiment-based correlation. The single phase turbulence is then used as an inflow boundary condition for a set of single bubble studies. By estimating the turbulent field around the fully resolved bubble, the effects of bubble deformability, turbulent intensity and relative velocity on the bubble-induced turbulence are investigated. The existence of bubble creates new vortices in the wake region and the enhancement of turbulence is observed in the region behind the bubble. The results show that the magnitude of the turbulence enhancement would increase as the bubble encounters larger liquid turbulent intensity or higher relative velocity. Set of bubble Weber numbers from 0.34 to 3.39 are used to investigate the effect of bubble deformability. The more deformable bubble is the higher the increase in the magnitude of the turbulence enhancement behind the bubble. This research provides systematic insight on the bubble-induced turbulence (BIT) mechanism and is important for multiphase computational fluid dynamics (M-CFD) closure model development.

[1]  P. Colella,et al.  An Adaptive Level Set Approach for Incompressible Two-Phase Flows , 1997 .

[2]  R. Clift,et al.  Bubbles, Drops, and Particles , 1978 .

[3]  Donald A. Drew,et al.  AN ANALYSIS OF TWO-PHASE FLOW AND HEAT TRANSFER USING A MULTIDIMENSIONAL, MULTI-FIELD, TWO-FLUID COMPUTATIONAL FLUID DYNAMICS (CFD) MODEL , 2000 .

[4]  Igor A. Bolotnov,et al.  Influence of Bubbles on the Turbulence Anisotropy , 2012 .

[5]  R. Lahey,et al.  Direct numerical simulation of turbulent channel flows using a stabilized finite element method , 2009 .

[6]  Onkar Sahni,et al.  Strong scaling analysis of a parallel, unstructured, implicit solver and the influence of the operating system interference , 2009 .

[7]  I. Kataoka,et al.  Basic equations of turbulence in gas-liquid two-phase flow , 1989 .

[8]  D. Drew,et al.  Detached direct numerical simulations of turbulent two-phase bubbly channel flow , 2011 .

[9]  D. Drew,et al.  PARALLEL ADAPTIVE SIMULATION OF A PLUNGING LIQUID JET ∗ Dedicated to Professor James Glimm on the occasion of his 75th birthday , 2010 .

[10]  O. C. Jones,et al.  3-D turbulence structure and phase distribution measurements in bubbly two-phase flows , 1987 .

[11]  Eckhard Krepper,et al.  Use of models for lift, wall and turbulent dispersion forces acting on bubbles for poly-disperse flows , 2007 .

[12]  Y. Sato,et al.  Liquid velocity distribution in two-phase bubble flow , 1975 .

[13]  K. Jansen.  A stabilized finite element method for computing turbulence , 1999 .

[14]  Kenneth E. Jansen,et al.  A stabilized finite element method for the incompressible Navier–Stokes equations using a hierarchical basis , 2001 .

[15]  Tadashi Sakaguchi,et al.  Drag Coefficients of Single Bubbles under Normal and Micro Gravity Conditions , 1998 .

[16]  S. Osher,et al.  An improved level set method for incompressible two-phase flows , 1998 .

[17]  Hidesada Tamai,et al.  Transverse migration of single bubbles in simple shear flows , 2002 .

[18]  Eckhard Krepper,et al.  CFD modeling of bubble-induced turbulence , 2013 .

[19]  Kenneth E. Jansen,et al.  Hydrodynamic simulation of air bubble implosion using a level set approach , 2006, J. Comput. Phys..

[20]  S. Corrsin,et al.  The use of a contraction to improve the isotropy of grid-generated turbulence , 1966, Journal of Fluid Mechanics.

[21]  Stefan Luther,et al.  The effect of bubbles on developed turbulence , 2004, Journal of Fluid Mechanics.

[22]  S. Becker,et al.  Modelling and simulation of the dynamic flow behaviour in a bubble column , 2001 .

[23]  James A. Sethian,et al.  Level Set Methods and Fast Marching Methods , 1999 .

[24]  Onkar Sahni,et al.  Cardiovascular flow simulation at extreme scale , 2010 .

[25]  Jam Hans Kuipers,et al.  Numerical and experimental investigation of the lift force on single bubbles , 2010 .

[26]  Donald A. Drew,et al.  The analysis of two-phase flow and heat transfer using a multidimensional, four field, two-fluid model , 2001 .

[27]  J. Brackbill,et al.  A continuum method for modeling surface tension , 1992 .

[28]  D. Cacuci,et al.  Balance of Liquid-phase Turbulence Kinetic Energy Equation for Bubble-train Flow , 2004 .

[29]  George Keith Batchelor,et al.  An Introduction to Fluid Dynamics. , 1969 .

[30]  M. Lance,et al.  Turbulence in the liquid phase of a uniform bubbly air–water flow , 1991, Journal of Fluid Mechanics.

[31]  Azat Yu. Galimov.  An analysis of interfacial waves and air ingestion mechanisms , 2007 .

[32]  Onkar Sahni,et al.  A parallel adaptive mesh method for the numerical simulation of multiphase flows , 2013 .

[33]  G. Tryggvason,et al.  Effect of bubble deformation on the properties of bubbly flows , 2003, Journal of Fluid Mechanics.

[34]  C. Meneveau,et al.  Decaying turbulence in an active-grid-generated flow and comparisons with large-eddy simulation , 2003, Journal of Fluid Mechanics.

[35]  John C. LaRue,et al.  The decay power law in grid-generated turbulence , 1990, Journal of Fluid Mechanics.

[36]  S. Osher,et al.  A level set approach for computing solutions to incompressible two-phase flow , 1994 .

[37]  Gretar Tryggvason,et al.  Dynamics of homogeneous bubbly flows Part 1. Rise velocity and microstructure of the bubbles , 2002, Journal of Fluid Mechanics.

[38]  K. Jansen,et al.  A study on large bubble motion and liquid film in vertical pipes and inclined narrow channels , 2015 .

[39]  Jun Fang,et al.  Development of Advanced Analysis Toolkit for Turbulent Bubbly Flow Simulations. , 2016 .

[40]  Mark Sussman,et al.  An Efficient, Interface-Preserving Level Set Redistancing Algorithm and Its Application to Interfacial Incompressible Fluid Flow , 1999, SIAM J. Sci. Comput..

[41]  A. Kolmogorov.  Dissipation of energy in the locally isotropic turbulence , 1941, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.

[42]  Jinjia Wei,et al.  Analysis of drag and lift coefficient expressions of bubbly flow system for low to medium Reynolds number , 2011 .

[43]  Onkar Sahni,et al.  Scalable Implicit Flow Solver for Realistic Wing Simulations with Flow Control , 2014, Computing in Science & Engineering.

[44]  Igor A. Bolotnov,et al.  Estimation of Shear-Induced Lift Force in Laminar and Turbulent Flows , 2015 .

[45]  Kenneth E. Jansen,et al.  A dynamic multi-scale approach for turbulent inflow boundary conditions in spatially developing flows , 2011, Journal of Fluid Mechanics.

[46]  Isao Kataoka,et al.  Turbulence suppression in bubbly two-phase flow , 1990 .

[47]  Mamoru Ishii,et al.  Experimental study on interfacial area transport in bubbly two-phase flows , 1999 .

[48]  Mamoru Ishii,et al.  Local measurement of interfacial area, interfacial velocity and liquid turbulence in two-phase flow , 1998 .

[49]  C. Brücker.  Structure and dynamics of the wake of bubbles and its relevance for bubble interaction , 1999 .

[50]  N. Zuber,et al.  An experimental study of plane bubbles rising at inclination , 1974 .

[51]  Jinhee Jeong,et al.  On the identification of a vortex , 1995, Journal of Fluid Mechanics.

[52]  C. W. Stewart.  Bubble interaction in low-viscosity liquids , 1996 .