L. J. Cummings

Capillary drainage of an annular film: the dynamics of collars and lobes

This paper considers the capillary drainage of a thin annular film on the inside or outside of a circular cylinder of radius

Transition of a moving contact line from smooth to angular

a

Ureteric stents: Investigating flow and encrustation

. A film of uniform thickness and axial length greater than

Models of void electromigration

\pi a

Liquid film dynamics in horizontal and tilted tubes: Dry spots and sliding drops

suffers a Rayleigh instability and evolves to form an axisymmetric structure in which the film thickness varies with axial distance. The fluid is gathered into collars , having axial length

Coriolis effects in a rotating Hele-Shaw cell

2\pi a

Modelling crystal aggregation and deposition in the catheterised lower urinary tract

, and shorter lobes ; the pressure within each collar or lobe is spatially uniform and adjacent collars and lobes are separated by thin necks. We examine numerically the evolution of this structure and demonstrate that, for sufficiently short cylinders, lobes drain into collars as described by Hammond ( J. Fluid Mech. vol. 137, 1983, p. 363). For longer cylinder lengths we find that, in spite of the energetic advantage, neighbouring collars do not drain into one another, and that the neck region between adjacent collars is governed by a similarity solution of the thin-film equation having axial length that varies as

Bistable nematic liquid crystal device with flexoelectric switching

t^{-1/2}

Tissue growth in a rotating bioreactor. Part I: mechanical stability.

after time

Toward a mathematical model of the assembly and disassembly of membrane microdomains: comparison with experimental models.

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