邊界效應對多孔膠體粒子擴散泳之影響

賴東廷

doi:10.6342/NTU.2012.03229

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邊界效應對多孔膠體粒子擴散泳之影響

Boundary Effects on Diffusiophoresis Motion of Charged Porous Spheres

賴東廷 , Masters　　Advisor：李克強　　

繁體中文 DOI： 10.6342/NTU.2012.03229

擴散泳現象；電動力學現象；多孔粒子；邊界效應；雙球座標；極化效應；電雙層； diffusiophoresis ； electrokinetucs ； porous particle ； bipolar coordinate ； polarization ； boundary effect ； electric double layer

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Diffusiophoretic behavior of porous colloidal particles subject to a electrolyte concentration gradient is investigated theoretically for arbitrary double layer thickness and surface potential.  The governing general electrokinetic equations are put in terms of bipolar spherical coordinates, and solved numerically with a pseudo-spectral method based on Chebyshev polynomial.  Without any assumption about particle surface potential or double layer thickness, the effects of key factors are examined such as the effect of double layer polarization, double layer overlapping, and boundary effect.
We find that the fixed charge density of the porous particle will increase the chemiphoresis and diffusiophoresis. In contrast to the case of identical diffusivity of cations and anions, a local electric field is induced in the present case due to an unbalanced charge distribution between higher and lower concentration regions.  Depending upon the direction of this induced electric field, the diffusiophoretic mobility can be larger or smaller than that for the case of identical diffusivity. When the fixed charge density is positive, the direction of electrophoresis will have opposite pattern with chemiphoresis. The competition between chemiphoresis and electrophoresis will result in diffusiophoresis.
In the study of a spherical colloidal particle normal to a planar boundary, it is found, among other things, that the presence of a planar boundary results in a local concentration gradient, provided that the double layer does not touch the planar boundary. If it does, however, the diffusiophoretic mobility of the porous particle will exhibit significance differences between planar metal surface and air-water interface. In the condition of planar metal surface, there will be an increase in chemiphoresis and demonstrates an decrease in the state of air-water interface

Reference ( 50 ) 〈TOP〉

1. Liu, B.T. and J.P. Hsu, The stability of a salt-free colloidal dispersion. Journal of Chemical Physics, 2008. 128(10).
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2. Debye, P. and A.M. Bueche, Intrinsic viscosity, diffusion, and sedimentation rate of polymers in solution. Journal of Chemical Physics, 1948. 16(6): p. 573-579.
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3. Happel, J., Viscosity of suspensions of uniform spheres. Journal of Applied Physics, 1957. 28(11): p. 1288-1292.
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4. Pavlov, G.M., et al., Determination of intrinsic viscosity of polyelectrolytes in salt-free solutions. Russian Journal of Applied Chemistry, 2006. 79(9): p. 1407-1412.
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5. Longworth, R. and J.J. Hermans, Conductivity of solutions of the potassium salts of carboxymethylcellulose and sulfonated polystyrene in the presence of potassium chloride. Journal of Polymer Science, 1957. 26(112): p. 47-55.
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