Free-surface flows of yield-stress fluids down inclined planes are modelled under the
assumptions that they are shallow and sustained by a uniform oncoming stream to …

Discussed in this investigation is the three-dimensional gravity-driven flow of a thin fluid
layer down an incline and over topography. A new three-dimensional integral-boundary …

The interaction of gravitationally driven, free-surface flows of viscous fluid with topographic
features is investigated theoretically. The motion is studied in the regime where the depth of …

We develop direct inversion methods for inferring the rheology of a fluid from observations of
its shallow flow. First, the evolution equation for the free-surface flow of an inertia-less …

This investigation solves the problem of three-dimensional steady gravity-driven flow down
an incline and around a two-dimensional cylindrical obstruction using lubrication theory …

We use lubrication theory to study the bow wave ahead of a squeegee as it moves steadily
over a horizontal layer of fluid. If the squeegee is infinitely long with a small gap at its base …

The steady lateral spreading of a free-surface viscous flow down an inclined plane around a
vertex from which the channel width increases linearly with downstream distance is …

The interaction of steady free-surface flows of viscoplastic material with a surface-piercing
obstruction of square cross-section on an inclined plane is investigated theoretically. The …

Rivulet flows are ubiquitous both in nature and industrial applications. Because of the typical
length scales involved, most analyses of these flows rely on the so-called lubrication …

Considered in this investigation is the three-dimensional, gravity-driven flow of a thin viscous
fluid layer down an incline, and spreading over topography. Three depth-integrated models …