Transition to turbulence in constant-mass-flux pipe flow
- 25 April 1995
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Fluid Mechanics
- Vol. 289, 83-114
- https://doi.org/10.1017/s0022112095001248
Abstract
We report the results of an experimental study of the transition to turbulence in a pipe under the condition of constant mass flux. The transition behaviour and structures observed in this experiment were qualitatively the same as those described in previous reported studies performed in pressure-driven systems. A variety of jet and suction devices were used to create repeatable disturbances which were then used to test the stability of developed Poiseuille flow. The Reynolds number (Re) and the parameters governing the disturbances were varied and the outcome, whether or not transition occurred some distance downstream of the injection point, was recorded. It was found that a critical amplitude of disturbance was required to cause transition at a given Re and that this amplitude varied in a systematic way with Re. This finite, critical level was found to be a robust feature, and was relatively insensitive to the form of disturbance. We interpret this as evidence for disconnected solutions which may provide a pointer for making progress in this fundamental, and as yet unresolved, problem in fluid mechanics.Keywords
This publication has 12 references indexed in Scilit:
- Optimal growth of small disturbances in pipe Poiseuille flowPhysics of Fluids A: Fluid Dynamics, 1993
- On the generation of helical waves in circular pipe flowPhysics of Fluids A: Fluid Dynamics, 1990
- Hydrodynamic stability and bifurcationPublished by Springer Nature ,1981
- Physical Fluid DynamicsAmerican Journal of Physics, 1978
- On transition in a pipe. Part 2. The equilibrium puffJournal of Fluid Mechanics, 1975
- On transition in a pipe. Part 1. The origin of puffs and slugs and the flow in a turbulent slugJournal of Fluid Mechanics, 1973
- Experimental Investigation of the Stability of Hagen-Poiseuille FlowPhysics of Fluids, 1968
- Experimenteller Beitrag zur Entstehung turbulenter Str mung im RohrArchive of Applied Mechanics, 1956
- Stability of the Laminar Inlet-flow prior to the Formation of Poiseuille Régime, IJournal of the Physics Society Japan, 1952
- Laminar boundary-layer oscillations and transition on a flat plateJournal of Research of the National Bureau of Standards, 1947