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Abstract

Evolutions in Mechanical Engineering

Anomalous Diffusion Through Homopolar Membrane: One-Dimensional Model

  • Open or Close Guilherme Garcia Gimenez1 and Adélcio C Oliveira2*

    1Discente de Engenharia Mecatrônica e bolsista pela FAPEMIG, Universidade Federal de São João del Rei, Brazil

    2Departamento de Estatística, Física e Matemática, Universidade Federal de São João del-Rei, Brazil

    *Corresponding author: Adélcio C Oliveira, Departamento de Estatística, Física e Matemática, Universidade Federal de São João del-Rei, Campus Alto Paraopeba-Ouro Branco, MG, Brazil

Submission: September 11, 2018;Published: October 16, 2018

DOI: 10.31031/EME.2018.01.000515

ISSN 2640-9690
Volume1 Issue3

Abstract

We investigate the stationary state solution of the fractional diffusion equation applied to Electrodialysis. This model corresponds to the anomalous diffusion case, that has several applications on Biology, Chemistry and Engineering. With the tools of fractional calculus, we have obtained the analytical solution for the fractional diffusion equation considering an external field. We use the mean field approximation to obtain the solution.

Keywords: Anomalous diffusion; Electrodialysis; Fractional calculus; Membranes; Mean field approximation

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