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    National Tsing Hua University Institutional Repository > 工學院  > 化學工程學系 > 期刊論文 >  A first-passage scheme for determination of overall rate constants for non-diffusion-limited suspensions


    Please use this identifier to cite or link to this item: http://nthur.lib.nthu.edu.tw/dspace/handle/987654321/37956


    Title: A first-passage scheme for determination of overall rate constants for non-diffusion-limited suspensions
    Authors: Shih-Yuan Lu;Yi-Ming Yen
    教師: 呂世源
    Date: 2002
    Publisher: American Institute of Physics
    Relation: The Journal of Chemical Physics, American Institute of Physics, Volume 116, Issue 7, 15 February 2002, Pages 3128-3133
    Keywords: non-diffusion-limited
    inclusion coagulation
    Abstract: ©2002 AIP - A first-passage scheme is devised to determine the overall rate constant of suspensions under the non-diffusion-limited condition. The original first-passage scheme developed for diffusion-limited processes is modified to account for the finite incorporation rate at the inclusion surface by using a concept of the nonzero survival probability of the diffusing entity at entity-inclusion encounters. This nonzero survival probability is obtained from solving a relevant boundary value problem. The new first-passage scheme is validated by an excellent agreement between overall rate constant results from the present development and from an accurate boundary collocation calculation for the three common spherical arrays [J. Chem. Phys. 109, 4985 (1998)], namely simple cubic, body-centered cubic, and face-centered cubic arrays, for a wide range of P and f. Here, P is a dimensionless quantity characterizing the relative rate of diffusion versus surface incorporation, and f is the volume fraction of the inclusion. The scheme is further applied to random spherical suspensions and to investigate the effect of inclusion coagulation on overall rate constants. It is found that randomness in inclusion arrangement tends to lower the overall rate constant for f up to the near close-packing value of the regular arrays because of the inclusion screening effect. This screening effect turns stronger for regular arrays when f is near and above the close-packing value of the regular arrays, and consequently the overall rate constant of the random array exceeds that of the regular array. Inclusion coagulation too induces the inclusion screening effect, and leads to lower overall rate constants.
    URI: http://www.aip.org/
    http://nthur.lib.nthu.edu.tw/handle/987654321/37956
    Appears in Collections:[化學工程學系] 期刊論文

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