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Journal of Applied Mechanics and Technical Physics

2026 year, number 3

LARGE-AMPLITUDE STATIONARY AXISYMMETRIC INERTIAL WAVES IN A CIRCULAR PIPE OF VARYING DIAMETER

O.G. Derzho
Kutateladze Institute of Thermophysics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
Keywords: axisymmetric inertial wave, vortex breakdown, circular pipe, varying diameter

Abstract

An asymptotic model of large-amplitude stationary inertial waves in an axisymmetric swirling flow of an ideal fluid in a circular pipe of varying diameter is developed. Calculations are performed for a flow with solid-body rotation far upstream; in this case, vortex breakdown is caused by the pipe geometry and the emergence of a separation zone. The separation zone is shown to be axially asymmetric. For a separation region to form at a fixed position relative to the onset of pipe expansion, the flow swirl should be stronger for larger pipe expansion angles.