The convective-diffusion equation of the tubular electrode in a parabolic velocity profile was solved with an implicit finite-difference numerical method and the distributions of current and concentration were obtained when axial diffusion was neglected. Several factors affecting the electrochemical behaviors of the tubular electrode were analyzed, which were represented by a normalized parameter w = x(e)d/u(0)r(0)(2). The relationship of the radial distribution of concentration and w shows that when w>0.03, the diffusion layer reaches the center of the tube, which makes the semi-infinite boundary condition invalid. The change of the current distribution in the direction of Bow with w illustrates that w should be less than 0.6 to cause electrolysis on the whole electrode. In order to obtain a high yield and conversion efficiency,, w should be larger than 0.105 and less than 0.417.