THE SURFACE-TENSION-DRIVEN RETRACTION OF A VISCIDA by Griffiths, I, Howell, P

“…We consider the surface-tension-driven evolution of a thin two-dimensional sheet of viscous fluid whose ends are held a fixed distance apart. …”

Macroscopic modelling of the surface tension of polymer-surfactant systems by Bell, C, Breward, C, Howell, P, Penfold, J, Thomas, R

“…In this paper we shouw how an existing model based on the law of mass action can be extended to model the surface tension of weakly-interacting systems, and we also extend it further to produce a model for the surface tension of strongly interacting systems. …”

Macroscopic modeling of the surface tension of polymer-surfactant systems. by Bell, C, Breward, C, Howell, P, Penfold, J, Thomas, R

“…In this paper we show how an existing model based on the law of mass action can be extended to model the surface tension of weakly interacting systems, and we also extend it further to produce a model for the surface tension of strongly interacting systems. …”

Surface-tension-driven flow on a moving curved surface by Howell, P

“…The solution can develop finite-time singularities, which are regularised by surface tension over a short lengthscale. General inner solutions are found for the neighbourhoods of such singularities and matched with the solution of the outer hyperbolic problem. …”

Surface-tension-driven flow on a moving curved surface by Howell, P

“…The solution can develop finite-time singularities, which are regularised by surface tension over a short lengthscale. General inner solutions are found for the neighbourhoods of such singularities and matched with the solution of the outer hyperbolic problem. …”

On the evolution of non-axisymmetric viscous fibres with surface tension, inertia and gravity by Cummings, L, Howell, P

“…This first part of the paper follows earlier work on the stretching of a slender viscous fibre with negligible surface tension effects. The inclusion of surface tension seriously complicates the problem for the evolution of the shape of the cross-section. …”

On the evolution of non-axisymmetric viscous fibres with surface tension, inertia and gravity by Cummings, L, Howell, P

The surface-tension-driven evolution of a two-dimensional annular viscous tube by Griffiths, I, Howell, P

“…We consider the evolution of an annular two-dimensional region occupied by viscous fluid driven by surface tension and applied pressure at the free surfaces. …”

The surface-tension-driven evolution of a two-dimensional annular viscous tube by Griffiths, I, Howell, P

A theoretical analysis of the surface tension profiles of strongly interacting polymer-surfactant systems. by Bell, C, Breward, C, Howell, P, Penfold, J, Thomas, R

“…Measurements of the surface tension of static polymer-surfactant mixtures as the concentrations of polymer and surfactant are varied produce interesting and surprising profiles. …”

Modelling foam drainage by Breward, C, Darton, R, Howell, P, Ockendon, J

“…The analysis shows that significant foam stability can arise from small surface tension variations.…”

Modelling foam drainage by Breward, C, Darton, R, Howell, P, Ockendon, J

“…The analysis shows that significant foam stability can arise from small surface tension variations.…”

Mathematical modelling of non-axisymmetric capillary tube drawing by Griffiths, I, Howell, P

“…This allows us to use a previously derived model for the surface- tension-driven evolution of a thin two-dimensional viscous tube. …”

The interaction between sodium alkyl sulfate surfactants and the oppositely charged polyelectrolyte, polyDMDAAC, at the air-water interface: the role of alkyl chain length and elec... by Penfold, J, Tucker, I, Thomas, R, Taylor, D, Zhang, X, Bell, C, Breward, C, Howell, P

“…The effect of alkyl chain length and electrolyte on the adsorption of sodium alkyl sulfate surfactants and the oppositely charged polyelectrolyte, polyDMDAAC, at the air-water interface has been investigated by surface tension and neutron reflectivity. The variations in the patterns of adsorption and surface tension behavior with alkyl chain length and electrolyte are discussed in the context of the competition between the formation of surface active surfactant/polyelectrolyte complexes and polyelectrolyte/surfactant micelle complexes in solution. …”

Newtonian pizza: spinning a viscous sheet by Howell, P, Scheid, B, Stone, H

“…Finally, for non-zero surface tension, we find that the exponent increases rapidly to infinity at a critical value of the rotational Bond number B = 1/4. …”

Newtonian pizza: spinning a viscous sheet by Howell, P, Scheid, B, Stone, H

“…Finally, for non-zero surface tension, we find that the exponent increases rapidly to infinity at a critical value of the rotational Bond number B = 1/4. …”

The draining of a two-dimensional bubble by Howell, P

“…The result is a description of the drainage of liquid out of the film under gravity and surface tension. This drainage is ultimately responsible for rupture of the film and hence bursting of the bubble.…”

Long-wavelength stability of an unsupported multilayer liquid film falling under gravity by Dyson, R, Brander, J, Breward, C, Howell, P

“…The long-wavelength stability of an unsupported multilayer liquid film falling under the effects of gravity and surface tension is investigated. By considering the Navier-Stokes equations for two fluid layers in the high-Reynolds-number and small-aspect-ratio limits the steady-state solutions are obtained. …”

Curvature suppresses the Rayleigh-Taylor instability by Trinh, P, Kim, H, Hammoud, N, Howell, P, Chapman, S, Stone, H

“…A dimensionless parameter (a modified Bond number) that incorporates both geometric parameters, gravity, and surface tension is identified, and allows the observations to be classified according to three different flow regimes: stable films, films with transient growth of perturbations followed by decay, and unstable films. …”

The instability of a viscous sheet floating on an air cushion by Kozyreff, G, Howell, P

“…This instability is driven by the local drainage of the sheet due to a growing disturbance on its lower surface and is moderated by surface tension, the bending stiffness of the sheet and advection in the air layer. …”