Article ID Journal Published Year Pages File Type
9506844 Applied Mathematics and Computation 2005 17 Pages PDF
Abstract
Two-dimensional Stokes flow in a rectangular single lid-driven cavity with the upper lid moving is considered to investigate streamline topologies near a stationary wall by using both of the qualitative theory and an analytic solution. We consider the velocity field by expanding in a Taylor series at the origin. A systematic use of normal form transformations results in a much simplified system of differential equations for the streamlines encapsulating all features of the original system. Using the simplified system a sequence of possible bifurcations of streamlines is obtained close to a simple linear degeneracy. Then to extract the same streamline topologies by varying a physical parameter, the cavity aspect ratio, we used an eigenfunction solution for the streamfunction.
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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