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Fractal continuum model for the adsorption-diffusion process
Chemical Engineering Science ( IF 4.7 ) Pub Date : 2019-04-01 , DOI: 10.1016/j.ces.2018.11.058
E.C. Herrera-Hernández , C.G. Aguilar-Madera , R. Ocampo-Perez , G. Espinosa-Paredes , M. Núñez-López

Abstract In this work, we present a mathematical model to describe the adsorption-diffusion process on fractal porous materials. This model is based on the fractal continuum approach and considers the scale-invariant properties of the surface and volume of adsorbent particles, which are well-represented by their fractal dimensions. The method of lines was used to solve the nonlinear fractal model, and the numerical predictions were compared with experimental data to determine the fractal dimensions through an optimization algorithm. The intraparticle mass flux and the mean square displacement dynamics as a function of fractal dimensions were analyzed. The results suggest that they can be potentially used to characterize the intraparticle mass transport processes. The fractal model demonstrated to be able to predict adsorption-diffusion experiments and jointly can be used to estimate fractal parameters of porous adsorbents.

中文翻译:

吸附-扩散过程的分形连续介质模型

摘要 在这项工作中,我们提出了一个数学模型来描述分形多孔材料的吸附-扩散过程。该模型基于分形连续体方法,并考虑了吸附剂颗粒表面和体积的尺度不变特性,这些特性由其分形维数很好地表示。采用线法求解非线性分形模型,将数值预测与实验数据进行比较,通过优化算法确定分形维数。分析了作为分形维数函数的粒子内质量通量和均方位移动力学。结果表明,它们可以潜在地用于表征颗粒内质量传输过程。
更新日期:2019-04-01
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