# Viscous free-surface flows past cylinders

@inproceedings{Hinton2020ViscousFF, title={Viscous free-surface flows past cylinders}, author={Edward M. Hinton and Andrew J. Hogg and Herbert E. Huppert}, year={2020} }

Free-surface flows of viscous liquid down an inclined plane and past cylinders of various cross-sections are investigated theoretically and experimentally. The cylinders are oriented with their axis perpendicular to the plane and are sufficiently tall that they are not overtopped. A lubrication model is applied to derive the steady governing equation for the flow depth, which is integrated numerically and analyzed asymptotically to calculate how the depth of a steady uniform flow is perturbed… Expand

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#### References

SHOWING 1-10 OF 74 REFERENCES

Shallow free-surface Stokes flow around a corner

- Physics, Medicine
- Philosophical Transactions of the Royal Society A
- 2020

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 investigated analytically, numerically and experimentally and the detachment point is well approximated by a simple expression for a broad range of opening angles. Expand

The flow of a liquid film along a periodic wall

- Materials Science
- 1988

The creeping flow of a liquid film along an inclined periodic wall of arbitrary geometry is considered. The problem is formulated using the boundary-integral method for Stokes flow. This method is… Expand

Interaction of viscous free-surface flows with topography

- Geology
- Journal of Fluid Mechanics
- 2019

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 the flow… Expand

Gravity-driven flows in porous layers

- Physics
- 1995

The motion of instantaneous and maintained releases of buoyant fluid through shallow permeable layers of large horizontal extent is described by a nonlinear advectiondiffision equation. This equation… Expand

Three-dimensional thin film flow over and around an obstacle on an inclined plane

- Physics
- 2009

Steady Stokes flow driven by gravity down an inclined plane over and around an attached obstacle is considered. The effects of the obstacle are examined for various flow configurations and results… Expand

Viscous flows down an inclined plane from point and line sources

- Physics
- 1992

The flow of a viscous fluid from a point or line source on an inclined plane is analysed using the equations of lubrication theory in which surface tension is neglected. At short times, when the… Expand

Film flow down an inclined plane over a three-dimensional obstacle

- Physics
- 2006

The low-Reynolds-number flow of a liquid film down an inclined plane wall over a particle attached to the wall is considered. The effect of the particle is described on the assumption that the free… Expand

Gravity-driven granular free-surface flow around a circular cylinder

- Geology
- Journal of Fluid Mechanics
- 2013

Abstract Snow avalanches and other hazardous geophysical granular flows, such as debris flows, lahars and pyroclastic flows, often impact on obstacles as they flow down a slope, generating rapid… Expand

Secondary flow in a Hele-Shaw cell

- Physics
- 1998

We examine the flow in a horizontal Hele-Shaw cell in which the
undisturbed unidirectional flow at infinity is required to stream around a vertical
cylinder spanning the gap between the two… Expand

Displacement flows under elastic membranes. Part 1. Experiments and direct numerical simulations

- Physics
- Journal of Fluid Mechanics
- 2015

The injection of fluid into the narrow liquid-filled gap between a rigid plate and an elastic membrane drives a displacement flow that is controlled by the competition between elastic and viscous… Expand