Strunin, Dmitry and Roberts, Tony (2001) Models encompassing hydraulic jumps in radial flows over a horizontal plate. In: 2nd WSEAS Multiconference on Applied and Theoretical Mathematics (WSEAS 2001), 17-23 Dec 2001, Cairns, Australia.
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Abstract
A circular jump forms in the radial flow thickness when a downwards stream hits a horizontal plate. Centre manifold theory is used to rigorously derive, from the Navier-Stokes equations, a dynamic model for slow horizontal variations of flow thickness and velocity. An advantage of this approach is the capacity to study non-stationary regimes and examine stability of the flow. Numerical solutions of the model reproduce experimentally observed recirculation under the jump and quantitatively agree with experiments of laminar flows.
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| Item Type: | Conference or Workshop Item (Commonwealth Reporting Category E) (Paper) |
|---|---|
| Refereed: | Yes |
| Item Status: | Live Archive |
| Faculty/School / Institute/Centre: | Historic - Faculty of Sciences - Department of Maths and Computing |
| Date Deposited: | 30 Nov 2007 11:55 |
| Last Modified: | 12 Mar 2018 23:57 |
| Uncontrolled Keywords: | radial fluid flow; hydraulic jump; centre manifold |
| Fields of Research : | 01 Mathematical Sciences > 0103 Numerical and Computational Mathematics > 010302 Numerical Solution of Differential and Integral Equations 09 Engineering > 0915 Interdisciplinary Engineering > 091504 Fluidisation and Fluid Mechanics 09 Engineering > 0913 Mechanical Engineering > 091307 Numerical Modelling and Mechanical Characterisation |
| Socio-Economic Objective: | E Expanding Knowledge > 97 Expanding Knowledge > 970101 Expanding Knowledge in the Mathematical Sciences |
| URI: | http://eprints.usq.edu.au/id/eprint/12622 |
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