A critical-layer framework for turbulent pipe flow
California Institute of Technology · Imperial College London
Abstract
A model-based description of the scaling and radial location of turbulent fluctuations in turbulent pipe flow is presented and used to illuminate the scaling behaviour of the very large scale motions. The model is derived by treating the nonlinearity in the perturbation equation (involving the Reynolds stress) as an unknown forcing, yielding a linear relationship between the velocity field response and this nonlinearity. We do not assume small perturbations. We examine propagating helical velocity response modes that are harmonic in the wall-parallel directions and in time, permitting comparison of our results to experimental data. The steady component of the velocity field that varies only in the wall-normal…
Citation impact
- FWCI
- 10.67
- Percentile
- 100%
- References
- 108
Authors
2Topics & keywords
- Turbulence
- Wavenumber
- Physics
- Mechanics
- Reynolds number
- Scaling
- Perturbation (astronomy)
- Nonlinear system