International Journal of Pure and Applied Mathematics ————————————————————————– Volume 23 No. 1 2005, 75-85 AXI-SYMMETRIC STAGNATION FLOW TOWARDS A MOVING PLATE OF A MICROPOLAR FLUID Atif Nazir 1 § , Mohammad Shafique 2 , Tahir Mahmood 3 , Tariq Sharif 4 1 Department of Mathematics Government S.E. College Bahawal Pur, PAKISTAN 2 Department of Mathematics Gomal University Dera Ismail Khan, PAKISTAN 3 Department of Mathematics Islamia University Bahawal Pur, PAKISTAN 4 Department of Mathematics University College of Science Education Lahore, PAKISTAN Abstract: The study of the problem of the axi-symmetric stagnation flows towards a moving plate of micro-polar fluids is considered. The equations of motion are reduced to dimensionless forms and solved numerically using S.O.R. method and Simpson’s rule, for three different combinations of the three pa- rameters involved. Results are given in the tabular as well as graphical form and compared with the known results of Newtonian fluid. The accuracy of the numerical solutions is checked using four different grid sizes. This type of stag- nation flow has application in certain cooling processes a coolant is impinged on a continuously moving plate. AMS Subject Classification: 35A40, 65P05 Key Words: axi-symmetric stagnation flows, micro-polar fluids, S.O.R. method, continuously moving plate Received: June 13, 2005 c  2005, Academic Publications Ltd. § Correspondence author