Conical flows of fluid with variable viscosity

Statistics – Applications

Scientific paper

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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.

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