Bifurcation of Bingham Streamline Topologies in Rectangular Double-Lid-Driven Cavities

Jianying Zhang^*

Department of Mathematics, Western Washington University, Bellingham, USA.

DOI: 10.4236/jamp.2014.212122                

Abstract

Numerical simulation of the bifurcation of Bingham fluid streamline topologies in rectangular double-lid-driven cavity, with varying aspect (height to width) ratio A, is presented. The lids on the top and bottom move at the same speed but in opposite directions so that symmetric flow patterns are generated. Similar to the Newtonian case, bifurcations occur as the aspect ratio decreases. Special to Bingham fluids, the non-Newtonian indicator, Bingham number B, also governs the bifurcation besides the bifurcation parameter A.

Keywords

Bingham Fluids, Double-Lid-Driven Cavity Flow, Bifurcation, Non-Newtonian Fluids

Conflicts of Interest

The authors declare no conflicts of interest.

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