Abstract
This paper provides a new study of the axisymmetric vortex
breakdown phenomenon.
Our approach is based on a thorough investigation of the axisymmetric unsteady
Euler equations which describe the dynamics of a swirling flow in a finite-length
constant-area pipe. We study the stability characteristics as well as
the time-asymptotic
behaviour of the flow as it relates to the steady-state solutions. The
results are
established through a rigorous mathematical analysis and provide a solid
theoretical
understanding of the dynamics of an axisymmetric swirling flow. The stability
and
steady-state analyses suggest a consistent explanation of the mechanism
leading to
the axisymmetric vortex breakdown phenomenon in high-Reynolds-number swirling
flows in a pipe. It is an evolution from an initial columnar swirling flow
to another
relatively stable equilibrium state which represents a flow around a separation
zone.
This evolution is the result of the loss of stability of the base columnar
state when
the swirl ratio of the incoming flow is near or above the critical level.
Publisher
Cambridge University Press (CUP)
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Cited by
173 articles.
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