The steady, asymmetric and two-dimensional flow of viscous, incompressible,and Newtonian fluid through a rectangular channel with splitter plate parallelto walls is investigated numerically. In the past, the position of the splitterplate was taken as a centerline of channel but here we consider its differentpositions which cause the asymmetric behaviour of the flow field. The geometricparameter that controls the position of splitter is defined as splitterposition parameter {\alpha}. The plane Poiseuille flow is considered far fromupstream and downstream of the splitter. The fourth order method Mancera [11],followed by special finite-method Dennis [5] is used to solve in our purpose.This numerical scheme transforms the governing equations to system offinite-difference equations which are solved by point S.O.R. iterative method.Moreover, the results obtained are further refined and upgraded by RichardsonExtrapolation method Jain [18]. This scheme yields the sixth order accuratesolution. The results are compared with those of Badr et al [1] for symmetriccase (when {\alpha}=0) for velocity, vorticity and skin friction distributions.The comparison is very favourable.
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