Lie group analysis and similarity solutions for hydro-magnetic Maxwell fluid through a porous medium

Boundary value problems

Rabea Elshennawy Abo-Elkhair¹  Khaled Saad Mekheimer¹  Mostafa Fatouh El-Sabbagh² 

[1] Mathematics Department, Faculty of Science, Al-Azhar University, Nasr City, Egypt;Mathematics Department, Faculty of Science, Minia University, Minia, Egypt

关键词: lie point symmetries;    similarity solutions;    Maxwell fluid;    porous medium;    MHD;   

DOI  :  10.1186/1687-2770-2012-15

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The equations of two dimensional incompressible fluid flow for hydro-magnetic Maxwell fluid through a porous medium have been studied. Lie group analysis has been employed and the group invariant solutions are obtained. Solutions corresponding to translational and rotational symmetries are obtained. A boundary value problem for the translational symmetry is investigated and the results are also sketched graphically. The effects of physical parameters have been noticed. MSC 2011: 53C11; 76S05.

【 授权许可】

CC BY