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EFFECT OF DIFFUSION AND CONVECTION ON THE FLUX OF DEPOSITING PARTICLES NEAR A PREADSORBED PARTICLE
Korean Journal of Chemical Engineering, March 1997, 14(2), 117-124(8), 10.1007/BF02706070
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Abstract
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.
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Bafaluy FJ, Choi HS, Senger B, Talbot J, Phys. Rev. E, 51, 5985 (1995)
Choi HS, Talbot J, Tarjus G, Viot P, J. Chem. Phys., 99, 9296 (1993)
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)
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Elimelech M, Sep. Technol., 4(4), 186 (1994)
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Hinrichsen EL, Feder J, Jossang T, J. Stat. Phys., 44, 793 (1986)
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Pagonabaraga J, Rubf JM, Phys. Rev. Lett., 73, 114 (1994)
Schaaf P, Talbot J, Phys. Rev. Lett., 62, 175 (1989)
Senger B, Bafaluy FJ, Schaaf P, Schmitt A, Voegel JC, Proc. Nat. Acad. Sci., 89, 9449 (1992)
Senger B, Ezzeddin R, Bafaluy FJ, Schaaf P, Cuisinier FJG, Voegel JC, J. Theor. Biol., 163, 457 (1993)
Senger B, Schaaf P, Voegel JC, Johner A, Schmitt A, Talbot J, J. Chem. Phys., 97, 3813 (1992)
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Talbot J, Ricci S, Phys. Rev. Lett., 68, 958 (1992)
Thompson AP, Glandt ED, Phys. Rev., A, 46, 4639 (1992)
