We have investigated experimentally the swirling flow between a stationary and a rotating disk with fixed closed end. In order to perform velocimetry measurements we implemented a heterodyne photon-correlation setup and obtained the three components of the velocity field at different positions along the gap between the disks. We compared the results for two different Reynolds numbers with a numerical solution of the similarity equation, to investigate the relation between the finite and infinite disk solution, theoretically studied by Brady & Durlofsky (1987). For the measurements performed at $\hbox{\it Re}$ below the critical Reynolds number $\hbox{\it Re}_C\,{=}\,80$, we found that the two solutions agree very well near the axis of rotation. Above $\hbox{\it Re}_C$ we found that this quantitative agreement no longer holds, but the flow qualitatively resembles the Batchelor solution, with two boundary layers and a core rotating as a solid body. Our results validate the theoretical prediction for closed-end finite disk flow.