Experiments were carried out in the flow between concentric cylinders with the inner cylinder rotating and outer cylinder fixed. The radius and aspect ratios were 0.8 and 44, respectively. The electrodiffusion method with a three-segment and simple micro-electrodes was used for study of the axial and azimuthal components of velocity gradient at the outer cylinder. The axial distributions of the components of wall velocity gradient were obtained by sweeping the vortices along the probes using axial flow. The wavelength and phase celerity of waves, height of vortices and their drifting velocity were calculated from the measured limiting diffusion currents.