Author:
GREEN M. R.,CRIGHTON D. G.
Abstract
Two parallel circular jets, in inviscid incompressible flow, with
uniform axial velocity
of the same magnitude and direction are placed near to one another, resulting
in a
strongly coupled field. A given (small) wavenumber in the axial direction
is taken
and a dispersion relation is found relating the frequency and wavenumber
for a given
disturbance mode, along with the velocity potentials within and exterior
to the jets.
The problem is tackled analytically using bipolar coordinates and asymptotic
forms
for the dispersion relation are found in the small-separation and large-separation
limits. Results are then compared with the corresponding two-dimensional
problem
for plane jets. It is concluded that close-proximity interactions greatly
destabilize the
varicose mode of the coupled jet, and greatly stabilize the sinuous mode.
Publisher
Cambridge University Press (CUP)
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Cited by
15 articles.
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