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Theory of diffusion-controlled adsorption kinetics at the expanding planar surface with a constant area rate

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Abstract

The diffusion equation for the expanding surface was solved and a corresponding general expression of dynamic surface adsorption was derived. For the short-time adsorption, a special factor 1/3, which reflected the effect of the expanding surface on the adsorption, appeared in the equation. In addition, the effects of the surface expansion on subsurface concentration (ϕ(t)), dynamic surface adsorption (Γ(t)), dynamic surface tension (γ(t)) and the adsorption mechanism were discussed. In contrast to the adsorption on a still planar surface, ϕ(t) and Γ(t) are smaller, but γ(t) increased. The adsorption mechanism will be the same as long as the corresponding theories are used.

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Acknowledgements

The authors thank the Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry (China) for the financially support.

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Authors and Affiliations

  1. School of Science, Tianjin University, Tianjin, 300072, China

    Junji Liu, Cui Yang & Caihong Zhang

  2. Wilhelm-Ostwald-Institute of Physical and Theoretical Chemistry, Leipzig University, Linnèstrasse 2, 04103, Leipzig, Germany

    Ulf Messow

Authors
  1. Junji Liu
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  2. Cui Yang
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  3. Caihong Zhang
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  4. Ulf Messow
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Correspondence to Junji Liu.

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Liu, J., Yang, C., Zhang, C. et al. Theory of diffusion-controlled adsorption kinetics at the expanding planar surface with a constant area rate. Colloid Polym Sci 284, 92–96 (2005). https://doi.org/10.1007/s00396-005-1335-0

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  • DOI: https://doi.org/10.1007/s00396-005-1335-0

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