Journal article
Critical surface coning due to a line sink in a vertical drain containing a porous medium
The ANZIAM Journal, Vol.61(3), pp.249-269
2019
Abstract
The withdrawal of water with a free surface through a line sink from a two-dimensional, vertical sand column is considered using the hodograph method and a novel spectral method. Hodograph solutions are presented for slow flow and for critical, limiting steady flows, and these are compared with spectral solutions to the steady problem. The spectral method is then extended to obtain unsteady solutions and hence the evolution of the phreatic surface to the steady solutions when they exist. It is found that for each height of the interface there is a unique critical coning value of flow rate, but also that the value obtained is dependent on the flow history.
Details
- Title
- Critical surface coning due to a line sink in a vertical drain containing a porous medium
- Authors/Creators
- S. Al-Ali (Author/Creator)G.C. Hocking (Author/Creator)D.E. Farrow (Author/Creator)
- Publication Details
- The ANZIAM Journal, Vol.61(3), pp.249-269
- Publisher
- Cambridge University Press
- Identifiers
- 991005542721307891
- Copyright
- © 2019 Australian Mathematical Society
- Murdoch Affiliation
- Information Technology, Mathematics and Statistics
- 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
- Mathematics, Applied
- ESI research areas
- Mathematics