Numerical Simulation of Particle Deposition in Cross-Flow Microfiltration of Binary Particles

Kuo-Jen Hwang; Yun-Sheng Wang

doi:10.6180/jase.2001.4.2.06

Numerical Simulation of Particle Deposition in Cross-Flow Microfiltration of Binary Particles

Chemical Engineering

Kuo-Jen Hwang¹ and Yun-Sheng Wang¹

¹Department of Chemical Engineering Tamkang University Tamsui, Taipei, Taiwan 251, R.O.C.

Received: January 1, 2001
Accepted: June 27, 2001
Publication Date: June 27, 2001

Download Citation: ||https://doi.org/10.6180/jase.2001.4.2.06

ABSTRACT

The migration and the deposition of binary submicron particles in cross-flow microfiltration are simulated in this study. The forces exerted on particles are analyzed, and the Newton’s second law of motion is integrated to simulate the velocities and displacements of particles near the membrane surface. The effects of operating conditions on the packing structure of particles and cake porosity are discussed. It can be found that the packing porosity of binary particles is smaller than those of mono-sized due to the cavern and the displacement effects. The simulated results show that looser packing for a given mixing fraction is constructed under a larger cross-flow velocity or a smaller filtration rate. The impact of the mixing fraction of binary particles is demonstrated by the experimental data of particle packing under gravity.

Keywords: Cross-Flow Microfiltration, Submicron Particles, Particle Deposition, Brownian Dynamic Simulation, Particle Packing

REFERENCES

[1] Altena, F.W. and Belfort, G, "Lateral migration of spherical particles in porous flow channels: application to membrane filtration," Chem. Eng. Sci., Vol.39, No.2, pp.343-355 (1984).
[2] Ansell, G.C. and Dickinson, E., "Sediment formation by Brownian dynamic simulation: effect of colloidal and hydrodynamic interaction on the sediment structure," J. Chem. Phys., Vol. 85, p.4079 (1986).
[3] Ansell, G.C. and Dickinson, E., "Brownian dynamic simulation of the fragmentation of a large colloidal floc in simple shear flow," J. Colloid Interface Sci., Vol.110, p.73 (1986).
[4] Ansell, G.C. and Dickinson, E., "Short-range structure of simulated colloidal aggregates," Phys. Rev., A, p.1 (1987).
[5] Fischer, E. and Raasch, J. "Cross-flow filtration," Ger. Chem. Eng., Vol.8, p.211 (1986).
[6] Hunter, R.J., Foundations of Colloid Science, Ch.7, Oxford Univ. Press, New York, (1987).
[7] Hwang, K.J., Yu, M.C., and Lu, W.M., “Migration and deposition of submicron particles in cross-flow microfiltration,” Vol.32, No.17, pp.2723-2747 (1997).
[8] Ju, S.C., "A study on the mechanism of cross-flow filtration." Ph.D. Dissertation, Dept. Chem. Eng., National Taiwan University, Taiwan, R.O.C. (1988).
[9] Lu, W.M. and Ju, S.C., "Selective particle deposition in cross-flow filtration," Sep. Sci. Technol., Vol.24, No.7&8, p.517 (1989).
[10] Lu, W.M. and Hwang, K.J., "Cake formation in 2-D cross-flow filtration," A.I.Ch.E. J., Vol.41, No.6, 1443-1455 (1995).
[11] Lu, W.M., Lai, C.C., and Hwang, K.J., "Constant pressure filtration of submicron particles," Sep. Technol., Vol.5, pp.45-53 (1995).
[12] O’Neill, M.E., “A sphere in contact with a plane wall in slow linear shear flow,” Chem. Eng. Sci., Vol.23, pp.1293-1297 (1968).
[13] Sherwood, J.D., “The force on a sphere pulled away from a permeable half-space,” Physicochem. Hydrodyn., Vol.10, pp.3-12 (1988).
[14] Sonntag, H. and Strenge, K., Coagulation Kinetics and Formation, Chap.1, Uplands Press., England, (1980).
[15] Vasseur, P. and Cox, R.G., "The lateral migration of spherical particle in two dimensional shear flow," J. Fluid Mech., Vol.78, p.385 (1976).