Issue
Korean Journal of Chemical Engineering,
Vol.14, No.2, 117-124, 1997
EFFECT OF DIFFUSION AND CONVECTION ON THE FLUX OF DEPOSITING PARTICLES NEAR A PREADSORBED PARTICLE
A steady state convective-diffusion equation is solved using a collocation method to find the concentration profile and flux of adsorbing particles near a particle adsorbed on a line. At small values of the gravity number, NG=Րd4ԤՑg/6kT, the concentration profile and flux vary slowly near the preadsorbed particle, while they are highly non-uniform at large values of NG. The numerical results are compared with Brownian dynamics simulation for a range of NG values. The effect of the position of the system boundary on the collocation calculation is discussed and it is shown how the concept of flux balance may be used to improve the accuracy of the results. Finally, we develop a truncated power series that accurately fits the numerical data.
[References]
  1. Andrade JD, Hlady V, Adv. Polym. Sci., 79, 1, 1987
  2. Andrade JD, "Principles of Protein Adsorption," Surface and Interfacial Aspects of Biomolecular Polymers (Edited by Andrade, J.D.), vol. 2, Protein Adsorption, Plenum Press, New York, 1985
  3. Andrade JD, Thin Solid Films, 152, 335, 1987
  4. Bafaluy FJ, Choi HS, Senger B, Talbot J, Phys. Rev. E, 51, 5985, 1995
  5. Choi HS, Talbot J, Tarjus G, Viot P, J. Chem. Phys., 99, 9296, 1993
  6. Choi HS, "Irreversible Adsorption of Macromolecules at the Solid-Liquid Interface: Simulation and Theory," Ph.D. Dissertation Purdue University, West Lafayette, IN, U.S.A., 1995
  7. Elimelech M, J. Colloid Interface Sci., 164(1), 190, 1994
  8. Elimelech M, Sep. Technol., 4(4), 186, 1994
  9. Feder J, J. Theor. Biol., 87, 237, 1980
  10. Hinrichsen EL, Feder J, Jossang T, J. Stat. Phys., 44, 793, 1986
  11. Onoda GY, Liniger BG, Phys. Rev. Lett., 73, 114, 1986
  12. Pagonabaraga J, Rubf JM, Phys. Rev. Lett., 73, 114, 1994
  13. Schaaf P, Talbot J, Phys. Rev. Lett., 62, 175, 1989
  14. Senger B, Bafaluy FJ, Schaaf P, Schmitt A, Voegel JC, Proc. Nat. Acad. Sci., 89, 9449, 1992
  15. Senger B, Ezzeddin R, Bafaluy FJ, Schaaf P, Cuisinier FJG, Voegel JC, J. Theor. Biol., 163, 457, 1993
  16. Senger B, Schaaf P, Voegel JC, Johner A, Schmitt A, Talbot J, J. Chem. Phys., 97, 3813, 1992
  17. Senger B, Talbot J, Schaaf P, Schmitt A, Voegel JC, Europhys. Lett., 21, 135, 1993
  18. Senger B, Voegel JC, Schaaf P, Johner A, Schmitt A, Talbot J, Phys. Rev., A, 44, 6926, 1991
  19. Slattery JC, "Momentum, Energy and Mass Transfer in Continua," McGraw-Hill, New York, 1981
  20. Talbot J, Ricci S, Phys. Rev. Lett., 68, 958, 1992
  21. Thompson AP, Glandt ED, Phys. Rev., A, 46, 4639, 1992