Abstract
We use the lubrication approximation to analyze the steady unidirectional flow of a thin rivulet on a vertical substrate subject to a prescribed uniform longitudinal shear stress at its free surface. In particular, we determine the quasisteady stability of a rivulet of prescribed flux, and calculate when it is energetically favorable for a rivulet to split into two narrower rivulets.
| Original language | English |
|---|---|
| Journal | Physics of Fluids |
| Volume | 17 |
| Issue number | 10 |
| DOIs | |
| Publication status | Published - 17 Oct 2005 |
Keywords
- shear flow
- lubrication
- flow instability
- pattern formation
- fluid physics