Lie group analysis and similarity solutions for hydro-magnetic Maxwell fluid through a porous medium
1 Mathematics Department, Faculty of Science, Al-Azhar University, Nasr City 11448, Cairo, Egypt
2 Mathematics Department, Faculty of Science, Minia University, Minia 61111, Egypt
Boundary Value Problems 2012, 2012:15 doi:10.1186/1687-2770-2012-15Published: 13 February 2012
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.