Steady two‐dimensional periodic motion of a micropolar fluid near an infinite array of moving walls

An analysis of the steady two‐dimensional flow of a micropolar fluid that is generated by a moving wall has been performed in this paper. The wall is assumed to move with a sinusoidal velocity in the direction that is parallel to the wall. Two‐term analytical and numerical solutions are obtained for several values of the Reynolds number Re and the micropolar parameter K . Both the cases of strong and weak concentration of micropolar fluids are considered. It is found that the maximum value of the stream function and microrotation increase as K increases. However, the fluid velocity decreases as K increases. It is observed that the streamlines are in the form of a row of clockwise rotating cells which are located close to the wall. For large value of Re, it is found that a recirculation in the vorticity and a drag in the microrotation appear near to the wall at y = 0.