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

Khaled Mekheimer, Mostafa El-Sabbagh, Rabea Abo-Elkhair
2012 Boundary Value Problems  
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.
doi:10.1186/1687-2770-2012-15 fatcat:pzqzzxr6wjemhovgdp7zs5ioiy