Lie Group Analysis and Similarity Solutions for a Couple Stress Fluid with Heat Transfer

The equations of two dimensional incompressible steady couple stress fluid flow with the heat transfer have been studied. Lie group analysis has been employed and the group invariant solutions corresponding to translational and rotational symmetry are developed. A boundary value problem for the translational symmetry is investigated and the results are also sketched graphically. The effect of the couple stress material constant have been noticed.