Two dimensional stagnation point flow of an elastico‐viscous fluid with partial slip

The steady, laminar flow of an elastico‐viscous fluid impinging normally upon a wall has been investigated when there is a partial slip of the fluid at the wall. The governing equations of motion admit a similarity solution in terms of η, the dimensionless distance normal to the wall. The boundary value problem characterizing the flow has been solved without making any assumption on the size of either the viscoelastic fluid parameter or the partial slip parameter. The solutions are shown to exist only up to a critical value of viscoelastic fluid parameter. The effect of the partial slip is to enhance this critical value.