An example where lubrication theory comes short: hydraulic jumps in a flow down an inclined plate

We examine two-dimensional flows of a viscous liquid on an inclined plate. If the upstream depth $h_{-}$ of the liquid is larger than its downstream depth $h_{+}$ , a smooth hydraulic jump (bore) forms and starts propagating down the slope. If the inclination angle of the plate is small, the bore ca...

Full description

Saved in:
Bibliographic Details
Published in:Journal of fluid mechanics 2015-02, Vol.764, p.277-295
Main Authors: Benilov, E. S., Lapin, V. N.
Format: Article
Language:English
Subjects:
Boundary conditions
Fluid dynamics
Free surfaces
Gravitational waves
Hydraulic jump
Hydraulics
Inclination angle
Instability
Lubrication
Mathematical models
Solutions
Stability
Stagnation point
Theories
Two dimensional flow
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We examine two-dimensional flows of a viscous liquid on an inclined plate. If the upstream depth $h_{-}$ of the liquid is larger than its downstream depth $h_{+}$ , a smooth hydraulic jump (bore) forms and starts propagating down the slope. If the inclination angle of the plate is small, the bore can be described by the so-called lubrication theory. In this work we demonstrate that bores with $h_{+}/h_{-}
ISSN:0022-1120
1469-7645
DOI:10.1017/jfm.2014.719