Journal of Theoretical
and Applied Mechanics

49, 1, pp. 71-82, Warsaw 2011

Numerical solutions of unsteady boundary layer equations for a generalized second grade fluid

Ali Keçeba s , Muhammet Yürüsoy
Unsteady, incompressible boundary layer equations for a modified power-law fluid of the second grade are considered. The model is a combination of the power-law and second grade fluid in which the fluid may exhibit normal stresses, shear thinning or shear thickening behaviour. The equations of motion are formulated for two-dimensional flows, and from which the boundary layer equations are derived. By using the similarity transformation, we reduce the boundary layer equations to system of non-linear ordinary differential equation. The ordinary differential equations are numerically integrated for classical boundary layer conditions. Effects of the power-law index and second grade coefficient on the boundary layers are shown.
Keywords: power-law fluid of second grade; boundary layers; similarity transformation