5 papers
A transition to elasto-viscoplastic turbulence in inertialess channel flow?
James D. Shemilt, Neil J. Balmforth, Duncan R. Hewitt
We conduct 2D numerical simulations employing a widely used constitutive law for elasto-viscoplastic fluids to show that linear instability leads to spatio-temporal complexity in i…
Start-up and inertialess instability of elasto-viscoplastic channel flow
James D. Shemilt, Neil J. Balmforth, Duncan R. Hewitt
An exploration is presented of the start-up and linear stability of pressure-driven channel flow of an elasto-viscoplastic fluid described by Saramito's constitutive law. Streamwis…
Rayleigh-Plateau instability of an elasto-viscoplastic filament
James D. Shemilt, Neil J. Balmforth
A slender-thread model is used to explore the Rayleigh-Plateau instability of a filament of elasto-viscoplastic fluid. Without elasticity, a finite yield stress suppresses any line…
Dynamics of levitation during rolling over a thin viscous film
Siqi Chen, Cheng Liu, Neil J. Balmforth +2
A mathematical model is derived for the dynamics of a cylinder, or wheel, rolling over a thin viscous film. The model combines the Reynolds lubrication equation for the fluid with…
Air-driven dynamics of viscoplastic liquid layers
James D. Shemilt, Neil J. Balmforth, Duncan R. Hewitt
Airway clearance by coughing is a key mechanism for mucus transport, particularly in obstructive lung diseases associated with altered mucus rheology. We investigate the dynamics o…