Statistics – Applications
Scientific paper
Sep 1988
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988rspsa.419...91g&link_type=abstract
Royal Society (London), Proceedings, Series A - Mathematical and Physical Sciences (ISSN 0080-4630), vol. 419, no. 1856, Sept. 8
Statistics
Applications
7
Conical Flow, Viscous Flow, Swirling, Turbulent Flow
Scientific paper
A model of a turbulent swirling vortex near a plane, studied by Wu (1986) is found to be inconsistent. The fact that no self-similar solution exists for a jet emerging from a small hole in a plane with the adherence and regularity demands is generalized for the case of a variable viscosity. Under these circumstances, a self-swirling phenomenon does not occur in downward flows and cannot bifurcate in upward flows. It is suggested that a self-swirling phenomenon is possible if the adherence condition is dropped and it is assumed that motion of the plane matter drives a flow of the ambient fluid. The possibility of using the problem as a model for astrophysical and geophysical applications is discussed.
Goldshtik M. A.
Shtern V. N.
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