Transition in fully developed circular pipe flow was investigated
experimentally by
the introduction of periodic perturbations. The simultaneous excitation
of the
azimuthal periodic modes m=+2 and m=−2 was chosen
for detailed analysis.
The experiments were carried out at three amplitudes. At the smallest amplitude
the
disturbances decayed in the direction of streaming. At intermediate input
amplitude
the disturbances amplified initially but then decayed with increasing distance
downstream. Their growth was accompanied by the appearance of higher harmonics.
At
still higher amplitudes transition occurred. A mean velocity distortion
corresponding
to an azimuthal index of m=4 was observed at the intermediate
and at the higher
levels of forcing. When four stationary jets were introduced through the
wall to emulate
a similar mean velocity distortion, transition was observed at smaller
amplitudes
of forcing at modes ±2. Thus, weak longitudinal vortices provide
an added instability
needed to generate a secondary disturbance which, in turn, amplifies the
steady vortical
structures introduced by the jets. Such vortices may also be generated
through
the interaction of time-periodic helical modes.
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