47 citations · 176 across the 14 of their papers we have counts for
16 papers
Inertialess instability of elasto-viscoplastic circular Couette flow
James D. Shemilt, Neil J. Balmforth, Duncan R. Hewitt
An exploration is presented of two-dimensional, circular Couette flow of an elasto-viscoplastic fluid described by Saramito's (Bingham) constitutive law. Axisymmetrical base states…
Nonlinear evolution of instability in inertialess elasto-viscoplastic Poiseuille flow
James D. Shemilt, Neil J. Balmforth, Duncan R. Hewitt
A widely used constitutive law for elasto-viscoplastic fluids (Saramito's model) predicts linear instability in inertialess pressure-driven channel flow. The instability arises due…
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…