Pouring flows with separation
Abstract
The two-dimensional free surface potential flow of a liquid poured from a container is calculated when the liquid runs along the underside of the spout and then separates or detaches. The point of separation S can be anywhere on a straight underside, but on a curved underside it must lie between the lip and a certain point S*. When S=S*, the free surface has finite curvature at S, so the Brillouin-Villat condition is satisfied. This suggests that S* is the actual point of detachment. The calculation is done analytically for a straight underside and numerically for a curved one, with gravity omitted in both cases.
- Publication:
-
Physics of Fluids A
- Pub Date:
- January 1989
- DOI:
- 10.1063/1.857542
- Bibcode:
- 1989PhFlA...1..156V
- Keywords:
-
- Liquid Flow;
- Potential Flow;
- Pouring;
- Separated Flow;
- Bernoulli Theorem;
- Flow Distribution;
- Surface Properties;
- Two Dimensional Flow;
- Fluid Mechanics and Heat Transfer