Free Surface Flow Due to a Sink.
Abstract
When fluid is withdrawn from a reservoir, the free surface may be drawn down. In order to investigate this phenomenon we consider two-dimensional free surface flows without waves, produced by a submerged sink in a reservoir. Numerical solutions are obtained for various configurations. For a sink the horizontal bottom of a layer of fluid, there are solutions for all values of the Froude number F greater than some particular value. However, when the fluid is sufficiently deep, there is an additional solution for one special value of F < 1. We were led to look for these solutions by our experiences with other free surface flows with gravity, such as flows over weirs in channels and flows around lips of teapot spouts. In those cases we found that in fluids of infinite depth there was a flow only for a special value of the appropriate Froude number. This kind of flow also occurred in fluids of finite depth, but in addition there were solutions for all Froude numbers greater than some particular value. The present results show that this is also the case for free surface flows produced by sinks.
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 1986
- Accession Number
- ADA167514
Entities
People
- Jean-marc Vanden-broeck
- Joseph B. Keller
Organizations
- University of Wisconsin–Madison