Perturbation amplification in rapid granular shear flows
Abstract
A stability analysis is performed for a granular shear flow with a linear velocity profile a constant density, and a constant fluctuation energy (i.e. ‘temperature’). The interaction of various modes with the mean flow leads to amplification of disturbances. Viscosity limits amplification to small wavevectors. Wavevectors are stretched and turned by the mean flow, thus insuring linear stability. For granular fluids the growth rate of the perturbations may become large enough for nonlinear effects to become important. The present analysis indicates that this transient amplification of perturbations can lead to structure formation.
Fields of Study & Subjects
Granular flow and fluidized beds
Fluid Dynamics and Turbulent Flows
Particle Dynamics in Fluid Flows
Publication details
- Journal / source
- CRC Press eBooks
- Pages
- 269–274
- Publication date
- 11 February 2026
- Language
- EN
- Document type
- Book chapter