Three dimensional flow of upper convected maxwell fluid along an infinite plane wall with periodic suction

The laminar flow of an incompressible upper-convectedMaxwell fluid past an infinite wall is modelled and analyzed analytically. The suction velocity distribution consisting of a basic steady distribution with a superimposed weak transversally varying distribution is assumed. The problem becomes three-dimensional flow problem because of variation of suction velocity in transverse direction on the wall. A perturbation technique is employed to obtain approximate solutions of the differential equations for velocity field, skin friction and pressure. The results obtained for main flow velocity component and wall shear stresses in the main flow direction and perpendicular to it are discussed and analyzed through graphs. It is found that wall shear stress components in the direction of main flow and transverse to the direction of main flow strongly depend on suction parameter and the Deborah number.