Euler–Euler large eddy simulations for dispersed turbulent bubbly flows

Abstract In this paper we present detailed Euler–Euler Large Eddy Simulations (LES) of dispersed bubbly flow in a rectangular bubble column. The motivation of this study is to investigate the potential of this approach for the prediction of bubbly flows, in terms of mean quantities. The physical models describing the momentum exchange between the phases including drag, lift and wall force were chosen according to previous experiences of the authors. Experimental data, Euler–Lagrange LES and unsteady Euler–Euler Reynolds-Averaged Navier–Stokes results are used for comparison. It is found that the present model combination provides good agreement with experimental data for the mean flow and liquid velocity fluctuations. The energy spectrum obtained from the resolved velocity of the Euler–Euler LES is presented as well.

[1]  P. Spalart,et al.  A hybrid RANS-LES approach with delayed-DES and wall-modelled LES capabilities , 2008 .

[2]  N. Zuber,et al.  Drag coefficient and relative velocity in bubbly, droplet or particulate flows , 1979 .

[3]  Akio Tomiyama,et al.  Lateral Migration of Single Bubbles Due to the Presence of Wall , 2002 .

[4]  J. Smagorinsky,et al.  GENERAL CIRCULATION EXPERIMENTS WITH THE PRIMITIVE EQUATIONS , 1963 .

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

[6]  B. Geurts,et al.  A framework for predicting accuracy limitations in large-eddy simulation , 2002 .

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

[8]  Tron Solberg,et al.  Large eddy simulation of the Gas-Liquid flow in a square cross-sectioned bubble column , 2001 .

[9]  Michio Sadatomi,et al.  Momentum and heat transfer in two-phase bubble flow—I. Theory , 1981 .

[10]  Eckhard Krepper,et al.  Experimental and numerical studies of void fraction distribution in rectangular bubble columns , 2007 .

[11]  P. Moin,et al.  A dynamic subgrid‐scale eddy viscosity model , 1990 .

[12]  I. Zun,et al.  Effects of Eötvös Number and Dimensionless Liquid Volumetric Flux on Lateral Motion of a Bubble in a Laminar Duct Flow , 1995 .

[13]  Akio Tomiyama,et al.  On the role of the lateral lift force in poly-dispersed bubbly flows , 2011 .

[14]  Jam Hans Kuipers,et al.  Numerical simulation of the dynamic flow behavior in a bubble column : A study of closures for turbulence and interface forces , 2006 .

[15]  Akio Tomiyama,et al.  BUBBLE TRACKING SIMULATION OF BUBBLE-INDUCED PSEUDOTURBULENCE , 2012 .

[16]  P. Welch.  The use of fast Fourier transform for the estimation of power spectra: A method based on time averaging over short, modified periodograms , 1967 .

[17]  J. Fröhlich,et al.  Hybrid LES/RANS methods for the simulation of turbulent flows , 2008 .

[18]  Jyeshtharaj B. Joshi,et al.  Large Eddy simulation for dispersed bubbly flows : a review , 2013 .

[19]  Eckhard Krepper,et al.  A multi-field two-fluid concept for transitions between different scales of interfacial structures , 2012 .

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

[21]  J. Mercado,et al.  On bubble clustering and energy spectra in pseudo-turbulence , 2010 .

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

[23]  I. Zun,et al.  The transverse migration of bubbles influenced by walls in vertical bubbly flow , 1980 .

[24]  Dirk Lucas,et al.  Transient simulation for large scale flow in bubble columns , 2015 .

[25]  A. K. Agrawal,et al.  Shape of liquid drops moving in liquid media , 1966 .

[26]  Ng Niels Deen,et al.  Scale-adaptive simulation of a square cross-sectional bubble column , 2015 .

[27]  Eckhard Krepper,et al.  The inhomogeneous MUSIG model for the simulation of polydispersed flows , 2008 .

[28]  Brian L. Smith,et al.  Large eddy simulation of a bubble column using dynamic sub-grid scale model , 2008 .

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

[30]  M. Ishii,et al.  Thermo-Fluid Dynamics of Two-Phase Flow , 2007 .

[31]  Ng Niels Deen,et al.  One-equation sub-grid scale (SGS) modelling for Euler-Euler large eddy simulation (EELES) of dispersed bubbly flow , 2008 .

[32]  J. Martinez,et al.  On bubble clustering and energy spectra in pseudo-turbulence , 2009, Journal of Fluid Mechanics.