On Creeping Flow of a Visco-Elastic Liquid in Converging Channel

The steady slow flow of an incompressible visco-elastic liquid in a converging channel has been analysed by using Oldroyd's equations for an elastico-viscous fluid. The solutions upto second order approximation have been obtained by perturbing the Newtonian solution. It is observed that in the first order approximation, the velocity pattern remains same as in the case of ordinary viscous fluid. However, in the second order approximation, the flow, unlike the case of Newtonian fluid does not remain purely radial, but is superposed by a secondary flow.