While several studies have investigated large-scale cluster winds resulting
from an intra-cluster interaction of multiple stellar winds, as yet they have
not provided details of the bordering flows inside a given cluster. The present
work explores the principal structure of the combined flow resulting from the
interaction of multiple stellar winds inside stellar clusters. The theory of
complex potentials is applied to analytically investigate stagnation points,
boundaries between individual outflows, and the hydrodynamic structure of the
asymptotic large-scale cluster wind. In a second part, these planar
considerations are extended to fully three-dimensional, asymmetric
configurations of wind-driving stars.
We find (i) that one can distinguish regions in the large-scale cluster wind
that are determined by the individual stellar winds, (ii) that there are
comparatively narrow outflow channels, and (iii) that the large-scale cluster
wind asymptotically approaches spherical symmetry at large distances. The
combined flow inside a stellar cluster resulting from the interaction of
multiple stellar winds is highly structured.Comment: 8 pages, 8 Figure