Nonlinear stability and patterns in granular plane Couette flow: Hopf and pitchfork bifurcations, and evidence for resonance
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Publication:3097808
DOI10.1017/S002211201000594XzbMath1225.76140OpenAlexW2166745280MaRDI QIDQ3097808
Meheboob Alam, Priyanka Shukla
Publication date: 10 November 2011
Published in: Journal of Fluid Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s002211201000594x
Related Items (4)
Non-Newtonian stress, collisional dissipation and heat flux in the shear flow of inelastic disks: a reduction via Grad’s moment method ⋮ Nonlinear stability, bifurcation and vortical patterns in three-dimensional granular plane Couette flow ⋮ Nonlinear vorticity-banding instability in granular plane Couette flow: higher-order Landau coefficients, bistability and the bifurcation scenario ⋮ Stability of wall bounded, shear flows of dense granular materials: the role of the Couette gap, the wall velocity and the initial concentration
Cites Work
- Unnamed Item
- Singularities and groups in bifurcation theory. Volume I
- Stability and transition in shear flows
- Weakly nonlinear theory of shear-banding instability in a granular plane Couette flow: analytical solution, comparison with numerics and bifurcation
- On the non-linear mechanics of wave disturbances in stable and unstable parallel flows Part 1. The basic behaviour in plane Poiseuille flow
- On the non-linear mechanics of wave disturbances in stable and unstable parallel flows Part 2. The development of a solution for plane Poiseuille flow and for plane Couette flow
- Algebraic and exponential instabilities in a sheared micropolar granular fluid
- Rheology of surface granular flows
- First normal stress difference and crystallization in a dense sheared granular fluid
- Density waves and coherent structures in granular Couette flows
- Energy nonequipartition, rheology, and microstructure in sheared bidisperse granular mixtures
- Interactions between steady and oscillatory convection in mushy layers
- Universality of shear-banding instability and crystallization in sheared granular fluid
- The double Hopf bifurcation with 2:1 resonance
- The interaction of two spatially resonant patterns in thermal convection. Part 1. Exact 1:2 resonance
- Instability of unbounded uniform granular shear flow
- Hydrodynamic equations for rapid flows of smooth inelastic spheres, to Burnett order
- Stability of plane Couette flow of a granular material
- Nonlinear analysis of convection flow in a tall vertical enclosure under non-Boussinesq conditions
- Instability-induced ordering, universal unfolding and the role of gravity in granular Couette flow
- Kinetic Theory of Granular Gases
- Stability analysis of rapid granular chute flows: formation of longitudinal vortices
- Streamwise structures and density patterns in rapid granular Couette flow: a linear stability analysis
- Pattern formation outside of equilibrium
- Finite-amplitude instability of parallel shear flows
- Finite bandwidth, finite amplitude convection
- A non-linear instability theory for a wave system in plane Poiseuille flow
- Nonlinear Stability Theory
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