Computational fluid dynamics simulations of taylor bubbles in tubular membranes: Model validation and application to laminar flow systems

The use of gas–liquid two-phase flow has been shown to significantly enhance the performance of some membrane processes by reducing concentration polarization and fouling. However, the understanding of the mechanisms behind gas–liquid two-phase flow enhancement of flux is still limited. This paper reports on the validation of computational fluid dynamics simulations of a Taylor bubble, using a variety of numerical approaches. Good agreement between the experimental and numerical data is shown for an Eulerian two-fluid model that uses a solution adaptive bubble size to avoid numerical mixing. This model is then used to study the effect of liquid extraction at the membrane wall on the wall shear stress, since it is the enhanced wall shear stress caused by the bubble passage that is important. This effect is shown to be negligible for typical operating conditions in membrane systems. Moreover, we show that the wall shear stress can be well represented by a ‘top hat’ profile for the system considered here.

[1]  C. Cabassud,et al.  How slug flow can improve ultrafiltration flux in organic hollow fibres , 1997 .

[2]  Zhanfeng Cui,et al.  CFD modelling of gas-sparged ultrafiltration in tubular membranes , 2002 .

[3]  Y. Ju,et al.  Air slugs entrapped cross‐flow filtration of bacterial suspensions , 1993, Biotechnology and bioengineering.

[4]  Zhanfeng Cui,et al.  Enhancement of ultrafiltration using gas sparging: a comparison of different membrane modules , 2003 .

[5]  E. T. White,et al.  The velocity of rise of single cylindrical air bubbles through liquids contained in vertical tubes , 1962 .

[6]  J. Fabre,et al.  MODELING OF TWO-PHASE SLUG FLOW , 1992 .

[7]  Masahiro Kawaji,et al.  Investigation of flow structures in vertical slug flow , 1997 .

[8]  Zhanfeng Cui,et al.  Flux enhancements with gas sparging in downwards crossflow ultrafiltration: performance and mechanism , 1996 .

[9]  Raja Ghosh,et al.  Mass transfer in gas-sparged ultrafiltration: upward slug flow in tubular membranes , 1999 .

[10]  Robert W. Field,et al.  Simulation of cross-flow filtration for baffled tubular channels and pulsatile flow , 1994 .

[11]  J. D. Bugg,et al.  The velocity field around a Taylor bubble rising in a stagnant viscous fluid: numerical and experimental results , 2002 .

[12]  A. Fane,et al.  The use of gas bubbling to enhance membrane processes , 2003 .

[13]  Corinne Cabassud,et al.  Air sparging with flat sheet nanofiltration: a link between wall shear stresses and flux enhancement☆ , 2002 .

[14]  K. S. Rezkallah,et al.  A numerical model of Taylor bubbles rising through stagnant liquids in vertical tubes , 1998 .

[15]  C. Fonade,et al.  Yeast suspension filtration: flux enhancement using an upward gas/liquid slug flow-application to continuous alcoholic fermentation with cell recycle. , 1998, Biotechnology and bioengineering.

[16]  Ovadia Shoham,et al.  Simplified transient solution and simulation of two-phase flow in pipelines , 1989 .

[17]  Zhanfeng Cui,et al.  Gas sparging to enhance permeate flux in ultrafiltration using hollow fibre membranes , 1996 .

[18]  D. Fletcher,et al.  A New Volume of Fluid Advection Algorithm , 2000 .

[19]  J. Yates,et al.  IChemE research event , 1997 .

[20]  S. Elmaleh,et al.  Enhancing microfiltration through an inorganic tubular membrane by gas sparging , 2000 .

[21]  A. Dukler,et al.  THE MOTION OF TAYLOR BUBBLES IN VERTICAL TUBES. II, EXPERIMENTAL DATA AND SIMULATIONS FOR LAMINAR AND TURBULENT FLOW , 1991 .

[22]  C. W. Hirt,et al.  Volume of fluid (VOF) method for the dynamics of free boundaries , 1981 .

[23]  I. Zun,et al.  Numerical analysis of bubble motion with the VOF method , 1993 .

[24]  M. Mercier-Bonin,et al.  Hydrodynamics of slug flow applied to cross‐flow filtration in narrow tubes , 2000 .

[25]  R. I. Issa,et al.  A numerical model of slug flow in vertical tubes , 1997 .

[26]  C. Fonade,et al.  How slug flow can enhance the ultrafiltration flux in mineral tubular membranes , 1997 .

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

[28]  C. Cabassud,et al.  Air sparging in ultrafiltration hollow fibers: relationship between flux enhancement, cake characteristics and hydrodynamic parameters , 2001 .