文献类型：期刊文献

英文题名：Modeling Riemann-Liouville fractional differential equations for diffusion and reaction in fractal porous media

作者：Zhang, Peng[1,2];Li, Ping[1];Xiu, Guohua[3];Rodrigues, Alirio E.[4]

机构：[1]East China Univ Sci & Technol, Coll Chem Engn, State Key Lab Chem Engn, Shanghai 200237, Peoples R China;[2]BASF China Co Ltd, Shanghai 200137, Peoples R China;[3]Shanghai Monodomain Chem Technol Co Ltd, Shanghai 201206, Peoples R China;[4]Univ Porto, Fac Engn, Dept Chem Engn, Lab Separat & React Engn, Rua Dr Roberto Frias S-N, P-4200465 Porto, Portugal

年份：2021

卷号：59

期号：2

起止页码：459

外文期刊名：JOURNAL OF MATHEMATICAL CHEMISTRY

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000604073100002)】；

基金：This study is financially supported by the National Natural Science Foundation of China (Grant No. 21978090, No. 21776089) and Intergovernmental cooperation Project on science and technology innovation (Grant No. 2016YFE0132500).

语种：英文

外文关键词：Riemann– Liouville; Anomalous diffusion– reaction; Fractal geometry; Mass-transfer resistances; Analytical and numerical solutions

摘要：In this article, Riemann-Liouville fractional differential equations for diffusion and reaction process in batch reactors are developed with Mittag-Leffler function. For first-order irreversible reaction under isothermal conditions, analytical solutions are derived for fractal porous catalyst by taking into account intraparticle diffusion and external mass-transfer resistances. Furthermore, a numerical method for Riemann-Liouville fractional differential equations is developed. Both analytical and numerical solutions are found in good agreement with each other. The general expressions for effectiveness factor for first-order reaction under isothermal conditions are derived for fractal porous catalyst. Lastly, the effects of different parameters are studied.