The effect of slip condition on the three-dimensional flow of Jeffrey fluid along a plane wall with periodic suction

The laminar flow of an incompressible Jeffrey fluid past an infinite wall is modeled and analyzed analytically considering slip effect. The suction velocity distribution consisting of a basic steady distribution with a super-imposed weak transversely varying distribution is assumed. The problem turns out to be three dimension because of variation of suction velocity in transverse direction on the wall. A series expansion technique is employed to obtain approximate solutions for velocity field, skin friction, and pressure. The effects of non-Newtonian Jeffrey fluid parameter λ₁, elastic parameter K, and slip parameter γ on velocity field and skin friction are presented graphically. Strongly dependence of skin friction factor in the direction of main flow on slip parameter is noted.