Steady 2-D MHD flow of a second grade fluid in a symmetrical diverging channel of varying width

Two dimensional steady flow of an incompressible second grade fluid is investigated in a symmetrically divergent channel of varying width in the presence of a transverse magnetic field. The non-linear diffierential equations obtained as a result are solved using ADM. The effect of dimensionless non-Newtonian elastic, cross viscosity and magnetic field parameters is shown graphically on axial and normal velocities, shear stress at the curved walls and pressure gradient. It is observed that the magnitude of the axial velocity and the pressure gradient decreases with an increase in the value of each of these parameters. However, shear stress at the curved wall increased with an increase of the value of the elastic parameter. Previously published results were obtained as a special case of this present study.