Electrochemical cells (100, 500, 600) for converting chemical energy into electrical energy, such as batteries (102), flow cells (502) and fuel cells (602) with a cylindrical rotating ion-permeable filter (120, 414, 520, 620) that generates Taylor Vortex Flows (144, 146, 404, 544, 546, 664, 666) and Circular Couette Flows (148, 150, 568, 570, 668, 670) in thixotropic catholytes and anolytes between a cylindrical current collector (106, 506, 606, 108, 508, 608) and the filter (120, 414, 520, 620) are disclosed.