A method and apparatus for anodizing a porous valve metal pellet in a flowing liquid electrolyte is described. The apparatus comprises an insulative container comprised of a lower region, a central region including a cavity for holding the pellet, an upper region, and a continuous passageway extending through the lower, central, and upper regions. Lower and upper screens serving as lower and upper electrodes are disposed in the passageway in the lower and upper container regions, respectively. During anodizing, the electrolyte flows through the lower container region including the lower screen, the porous pellet and then the upper container region including the upper screen. The lower and upper screens are at an opposite electrical polarity as the pellet so that a dielectric oxide is formed on the exposed valve metal including interior portions of the pellet that are exposed to the flowing electrolyte.