A Taylor reactor (1) according to FIG. 1, comprising 1. an annular reaction volume (2) which widens in the flow direction and is defined by an outer reactor wall (3), a rotor (4) which is mounted rotatably at the end (4.1) in the reactor floor (5) and at its other end (4.2) is unmounted, and a reactor floor (5) having a seal (6) for the drive shaft (7), 2. an inlet region (8) above the reactor floor (5), having at least one side feed (8.1) and/or at least one feed (8.1) through the reactor floor (5) for the reactants and/or the process media, 3. an outlet region (9) which is disposed above the annular reaction volume (2), widens further beyond the annular reaction volume (2) in the flow direction, and subsequently tapers toward a product offtake (10), 4. a product offtake (10) which at its greatest diameter opens toward the outlet region (9) and tapers in the other direction, and 5. a pressure maintenance valve (11); and its use for continuous bulk polymerization.