Speed and structure of turbulent fronts in pipe flow

Abstract

Using extensive direct numerical simulations, the dynamics of laminar-turbulent fronts in pipe flow is investigated for Reynolds numbers between $Re=2000$ and $5500$. We here investigate the physical distinction between the fronts of weak and strong slugs both by analysing the turbulent kinetic energy budget and by comparing the downstream front motion to the advection speed of bulk turbulent structures. Our study shows that weak downstream fronts travel slower than turbulent structures in the bulk and correspond to decaying turbulence at the front. At $Re\simeq 2900$ the downstream front speed becomes faster than the advection speed, marking the onset of strong fronts. In contrast to weak fronts, turbulent eddies are generated at strong fronts by feeding on the downstream laminar flow. Our study also suggests that temporal fluctuations of production and dissipation at the downstream laminar-turbulent front drive the dynamical switches between the two types of front observed up to $Re\simeq 3200$.

14 pages, accepted for publication in Journal of Fluid Mechanics

References in corpus (3)

• The rise of fully turbulent flow
• Symmetry related dynamics in parallel shear flows
• Turbulent dynamics of pipe flow captured in a reduced model: puff relaminarisation and localised `edge' states

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• The vanishing of strong turbulent fronts in bent pipes
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• Patterns in transitional shear turbulence. Part 1. Energy transfer and mean-flow interaction
• Propagation speed of turbulent fronts in pipe flow at high Reynolds numbers
• Turbulent puffs in transitional pulsatile pipe flow at moderate pulsation amplitudes
• Analysis and modeling of localized invariant solutions in pipe flow
• Dynamics of turbulent plugs in a superfluid ${}^4$He channel counterflow
• Model for transitional turbulence in a planar shear flow
• Discontinuous transition to shear flow turbulence