Fractional derivative model for diffusion-controlled adsorption at liquid/liquid interface

被引：2

作者：

Bazhlekov, Ivan ^{[1
]}

Bazhlekova, Emilia ^{[1
]}

机构：

[1] Bulgarian Acad Sci, Inst Math & Informat, Acad G Bonchev Str,Bl 8, Sofia, Bulgaria

来源：

PROCEEDINGS OF THE 44TH INTERNATIONAL CONFERENCE "APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS" | 2018年 / 2048卷

关键词：

NUMERICAL-SOLUTION; RANDOM-WALKS; KINETICS; SURFACTANTS; EQUATION; DYNAMICS;

D O I：

10.1063/1.5082111

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Ward-Tordai integral equation governs the diffusion-controlled surfactant adsorption at air/liquid interfaces. In this paper the Ward-Tordai equation is generalized in two directions. First, the adsorption is assumed to take place at a liquid/liquid interface, where the surfactant is soluble in both liquid phases. Second, the diffusion in the bulk phases is anomalous and is governed by time-fractional diffusion equations. For the computation of the change of adsorption with time two numerical techniques are proposed and compared. Numerical results are presented.

引用

页数：8

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