Analysis of flux enhancement at oscillating flat surface membranes

Intensification of microfiltration flux in a novel oscillatory membrane design has been investigated both experimentally and theoretically. Up to three fold increase in flux could be achieved using the proposed design. Modeling of the system was successfully achieved using a modified film theory approach which takes into consideration the end effects of the surface as well as a concentration dependent scaling factor for the diffusion coefficient. The model predictions shows that moderate membrane oscillations at frequencies <25 Hz and amplitudes <0.015 m can be used effectively for intensifying microfiltration as well as other membrane separation processes. Similar to other oscillatory shear enhanced membrane systems, existing filtration models based on Brownian diffusion, shear induced diffusion, and inertial lift were unsuccessful in modeling filtration flux under current design and oscillatory conditions.

[1]  M. Jaffrin,et al.  A hydrodynamic comparison between rotating disk and vibratory dynamic filtration systems , 2004 .

[2]  M. Doshi,et al.  Limiting flux in ultrafiltration of macromolecular solutions , 1980 .

[3]  M. Clifton,et al.  The origin of high hydraulic resistance for filter cakes of deformable particles: cell-bed deformation or surface-layer effect? , 2004 .

[4]  M. Jaffrin,et al.  Permeate flux enhancement by pressure and flow pulsations in microfiltration with mineral membranes , 1992 .

[5]  H. Gomaa,et al.  Intensification of inter-phase mass transfer: the combined effect of oscillatory motion and turbulence promoters , 2006 .

[6]  Andreas Acrivos,et al.  Measurement of shear-induced self-diffusion in concentrated suspensions of spheres , 1987, Journal of Fluid Mechanics.

[7]  Chol-Bum M. Kweon,et al.  Viscous dissipation with fluid inertia in oscillatory shear flow , 1999 .

[8]  Pierre Aimar,et al.  Model for colloidal fouling of membranes , 1995 .

[9]  J. Howell,et al.  The effect of pulsed flow on ultrafiltration fluxes in a baffled tubular membrane system , 1990 .

[10]  Michel Y. Jaffrin,et al.  Concentration of total milk proteins by high shear ultrafiltration in a vibrating membrane module , 2005 .

[11]  I. W. Cumming,et al.  Prediction of steady state crossflow filtration using a force balance model , 1992 .

[12]  Francis J. Poulin,et al.  Parametric instability in oscillatory shear flows , 2003, Journal of Fluid Mechanics.

[13]  Robert H. Davis,et al.  The behavior of suspensions and macromolecular solutions in crossflow microfiltration , 1994 .

[14]  Siegfried Ripperger,et al.  Particle deposition and layer formation at the crossflow microfiltration , 1997 .

[15]  Wei-Ming Lu,et al.  Selective Particle Deposition in Crossflow Filtration , 1989 .

[16]  Y. Buyevich Statistical hydromechanics of disperse systems. Part 3. Pseudo-turbulent structure of homogeneous suspensions , 1972, Journal of Fluid Mechanics.

[17]  Andrew L. Zydney,et al.  A CONCENTRATION POLARIZATION MODEL FOR THE FILTRATE FLUX IN CROSS-FLOW MICROFILTRATION OF PARTICULATE SUSPENSIONS , 1986 .

[18]  N. Yao,et al.  Mass Transfer at Longitudinally Vibrating Vertical Electrodes , 1982 .

[19]  H. Gomaa,et al.  Dynamic analysis of mass transfer at vertically oscillating surfaces , 2004 .

[20]  Michel Y. Jaffrin,et al.  An hydrodynamic investigation of microfiltration and ultrafiltration in a vibrating membrane module , 2002 .

[21]  C. Watkins,et al.  Laminar Shear Layer Due to a Thin Flat Plate Oscillating With Zero Mean Velocity , 1978 .

[22]  H. Schlichting Boundary Layer Theory , 1955 .

[23]  Hassan Gomaa,et al.  Effect of oscillatory motion on heat transfer at vertical flat surfaces , 2005 .

[24]  Michel Y. Jaffrin,et al.  Treatment of dairy process waters using a vibrating filtration system and NF and RO membranes , 2004 .

[25]  Hassan Gomaa,et al.  Mass transfer enhancement at vibrating electrodes , 2004 .

[26]  T. Pedley Heat transfer from a hot film in reversing shear flow , 1976, Journal of Fluid Mechanics.

[27]  Eugene C. Eckstein,et al.  Self-diffusion of particles in shear flow of a suspension , 1977, Journal of Fluid Mechanics.

[28]  S. Geissler,et al.  Dynamic model of crossflow microfiltration in flat-channel systems under laminar flow conditions , 1995 .

[29]  M. Gundogdu,et al.  Present State of Art on Pulsatile Flow Theory : Part 1:Laminar and Transitional Flow Regimes , 1999 .

[30]  G. Jonsson,et al.  Separation of enzymes and yeast cells with a vibrating hollow fiber membrane module , 2007 .

[31]  Robert H. Davis,et al.  Shear-induced transport of a particle layer along a porous wall , 1987 .

[32]  T. Schluep,et al.  Initial transient effects during cross flow microfiltration of yeast suspensions , 1996 .

[33]  Georges Belfort,et al.  Lateral migration of spherical particles in porous flow channels: application to membrane filtration , 1984 .

[34]  Menachem Elimelech,et al.  Theory of concentration polarization in crossflow filtration , 1995 .

[35]  Hongyu Li,et al.  An assessment of depolarisation models of crossflow microfiltration by direct observation through the membrane , 2000 .