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We present the results of investigation of a low-Reynolds number uncompressible fluid flow in a rectangular two-dimensional cavity. It has been shown that the behavior of the flow may be controlled by the cavity length and width. Depending on the ratio between the length and width of the chamber the flow is either steady or non-steady. It has been found that for small chamber lengths the flow is steady and geometrically symmetric. Increased chamber lengths lead to unsteady flows withdoi:10.1260/175095407781421603 fatcat:iyiuwzoukjam3pcajvw466pjce