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Flow through two-dimensional rectangular micro-channel with patterned slip on the walls under the low-Reynolds number limit ( Re <<1) is studied using boundary element method (BEM). We assume that the pattern of the slip on the upper and the lower walls maintain a phase difference (i.e., out-phase configuration). We considered two subcases of out-phase patterned slip, namely large and fine depending on the characteristic length of the patterning. In order to obtain a deep insight of flow mechanics, we investigated the streamlines, velocity profiles, shear stress, and
pressure gradients with varying slip-length.

Stokes equation; micro-channel; slip patterning; boundary element method