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2015 ; 112
(26
): 7920-4
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Osborne Reynolds pipe flow: Direct simulation from laminar through gradual
transition to fully developed turbulence
#MMPMID26080447
Wu X
; Moin P
; Adrian RJ
; Baltzer JR
Proc Natl Acad Sci U S A
2015[Jun]; 112
(26
): 7920-4
PMID26080447
show ga
The precise dynamics of breakdown in pipe transition is a century-old unresolved
problem in fluid mechanics. We demonstrate that the abruptness and mysteriousness
attributed to the Osborne Reynolds pipe transition can be partially resolved with
a spatially developing direct simulation that carries weakly but finitely
perturbed laminar inflow through gradual rather than abrupt transition arriving
at the fully developed turbulent state. Our results with this approach show
during transition the energy norms of such inlet perturbations grow exponentially
rather than algebraically with axial distance. When inlet disturbance is located
in the core region, helical vortex filaments evolve into large-scale reverse
hairpin vortices. The interaction of these reverse hairpins among themselves or
with the near-wall flow when they descend to the surface from the core produces
small-scale hairpin packets, which leads to breakdown. When inlet disturbance is
near the wall, certain quasi-spanwise structure is stretched into a Lambda
vortex, and develops into a large-scale hairpin vortex. Small-scale hairpin
packets emerge near the tip region of the large-scale hairpin vortex, and
subsequently grow into a turbulent spot, which is itself a local concentration of
small-scale hairpin vortices. This vortex dynamics is broadly analogous to that
in the boundary layer bypass transition and in the secondary instability and
breakdown stage of natural transition, suggesting the possibility of a partial
unification. Under parabolic base flow the friction factor overshoots Moody's
correlation. Plug base flow requires stronger inlet disturbance for transition.
Accuracy of the results is demonstrated by comparing with analytical solutions
before breakdown, and with fully developed turbulence measurements after the
completion of transition.