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Steady two‐dimensional periodic motion of a micropolar fluid near an infinite array of moving walls
Author(s) -
Lok Y.Y.,
Pop I.,
Ingham D.B.
Publication year - 2009
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200800168
Subject(s) - streamlines, streaklines, and pathlines , drag , mechanics , stream function , reynolds number , physics , vorticity , flow (mathematics) , motion (physics) , classical mechanics , vortex , turbulence
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.