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Description of sorption kinetics of azo dye onto birch chips by means of fractional derivatives

机译：偶氮染料吸附动力学描述借助于分数衍生物的桦木芯片

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The adsorption kinetics is investigated in order to measure time necessary to reach equilibrium between the molecules of separated substance attracted to the sorbent surface and those left in the solution. Models of adsorption kinetics such as Lagergren's, Ho and McKay's, and Elovich's are quoted in technical articles. The application of pseudo-first-order Lagergren's kinetic model is recommended when physical adsorption is the dominant mechanism. On the other hand, when the process is mainly influenced by chemisorption, the pseudo-second-order model of Ho and McKay's as well as Elovich's equation are suggested. At the same time, no general method combining both mechanisms of adsorption is proposed. In the case of chemically complex sorbents and the mixed mechanism of sorption, this kind of approach is insufficient; however, such systems may be modelled using fractional derivatives . Recently, a considerable number of papers and monographs have been published on applying fractional derivatives. Most of them treat of solving linear equations and special functions such as the Mittag-Leffler function. This paper presents the results and mathematical description of azo dye adsorption kinetics on a natural plant-based sorbent.
机译：研究了吸附动力学以测量达到吸附剂表面的分子分子与溶液中留在溶液中的分子之间达到平衡所需的时间。在技​​术文章中引用了Lagergren，Ho和Mckay等吸附动力学的模型，如Laggren，Ho和Mckay，和Elovich。当物理吸附是主导机制时，建议使用伪一阶Lagergren的动力学模型的应用。另一方面，当该过程主要受化学吸取的影响时，提出了HO和McKay的伪二阶模型以及Elovich方程。同时，提出了组合两个吸附机制的一般方法。在化学复杂的吸附剂和吸附的混合机制的情况下，这种方法不足;然而，这种系统可以使用分数衍生物进行建模。最近，在施加分数衍生物上发表了相当数量的论文和专着。其中大多数人处理求解线性方程和特殊功能，例如Mittag-Leffler函数。本文介绍了奥佐染料吸附动力学对天然植物的吸附剂的结果和数学描述。

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