Journal article
Potential flow of fluid from an elevated, two-dimensional source
Applied Mathematical Modelling, Vol.71, pp.349-362
2019
Abstract
When fluid is pumped from an elevated source it flows downward and then outward once it hits the base. In this paper we consider a simple two dimensional model of flow from a single line source elevated above a horizontal base and consider its downward flow into a spreading layer on the bottom. A hodograph solution and linear solutions are obtained for high flow rates and full nonlinear solutions are obtained over a range of parameter space. It is found that there is a minimum flow rate beneath which no steady solutions exist. Overhanging surfaces are found for a range of parameter values. This flow serves as a model for a two-dimensional water fountain, or approximates a similar flow in a density stratified environment.
Details
- Title
- Potential flow of fluid from an elevated, two-dimensional source
- Authors/Creators
- S.M. Shraida (Author/Creator)G.C. Hocking (Author/Creator)
- Publication Details
- Applied Mathematical Modelling, Vol.71, pp.349-362
- Publisher
- Elsevier BV
- Identifiers
- 991005544903407891
- Copyright
- © 2019 Elsevier Inc.
- Murdoch Affiliation
- School of Engineering and Information Technology
- Language
- English
- Resource Type
- Journal article
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- Collaboration types
- Domestic collaboration
- International collaboration
- Citation topics
- 8 Earth Sciences
- 8.205 Ocean Dynamics
- 8.205.2114 Hydraulic Flows
- Web Of Science research areas
- Engineering, Multidisciplinary
- Mathematics, Interdisciplinary Applications
- Mechanics
- ESI research areas
- Engineering