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Abstract
Evolutions in Mechanical Engineering
Anomalous Diffusion Through Homopolar Membrane: One-Dimensional Model
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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
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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