The vortex-core precession in chambers of devices where fluid or gas flows are set in rotation represents a widespread phenomenon. It was established that the precession is not a consequence of significant violations of the symmetry of devices. Thus, the initiation of precession and the loss of rotational symmetry accompanying it are the fundamental properties of vortex flows, which cause scientific interest in this phenomenon. The hypothesis that the vortex core is in parallel to the chamber axis but does not coincide with it and, consequently, rotates around it still has no experimental confirmation. A new shape of the precessing vortex core is found in the cylindrical chamber with an undiaphragmed outlet, and it is shown that the outlet conditions considerably affect the vortex-precession character inside the chamber. They can be useful for developing theoretical models of strongly swirl fluid flows and the analysis of results of numerical calculations of such flows.
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