Diffusion‐controlled, heterogeneous reaction in a material with a bimodal poresize distribution

Diffusion‐controlled, heterogeneous reaction in a material with a bimodal poresize distribution
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具有双峰孔径分布的材料中的扩散控制、非均相反应

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发表时间:
1994
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通讯作者:
M. Loewenberg
M. Loewenberg
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文献类型:
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作者:
M. Loewenberg

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对具有双峰孔径分布的材料中扩散控制的非均相反应进行了理论分析。一个配置的平均过程是用来描述一个稀疏的,随机网络的大孔毛细管中包含的反应,否则均匀的矩阵。该分析是有效的反应性的范围很广,是特别适合的反应物浓度变化的条件下的长度尺度可比的直径,或大孔之间的间距。结果取决于对基质的反应性,大孔网络的空隙体积,和大孔基质扩散率比。一个局部有效性参数,它取决于反应性和大孔空隙体积,表征在材料中的反应行为。得到一个精确的数值解,解析依赖于问题的参数,和一个精确的解析表示推导出来,非常简单地依赖于当地的有效性,质量…
A theoretical analysis is developed for diffusion‐controlled, heterogeneous reaction in a material with a bimodal poresize distribution. A configurational averaging procedure is used to describe a sparse, random network of macropore capillaries contained in a reactive, otherwise homogeneous matrix. The analysis is valid for a wide range of reactivities, and is particularly suited for conditions where reactant concentration varies on a length scale comparable to the diameter of, or the spacing between the macropores. The results depend on the reactivity on the matrix, the void volume of the macropore network, and the macropore to matrix diffusivity ratio. A local effectiveness parameter, which depends on the reactivity and macropore void volume, characterizes the reaction behavior in the material. An exact numerical solution is obtained that depends analytically on the parameters of the problem, and an accurate analytical representation is derived that depends very simply on the local effectiveness, the ma...