Scheichl, B;
Bowles, RI;
(2017)
On transcritical states in viscous flow passing the edge of a horizontal plate.
In:
Proceedings in Applied Mathematics and Mechanics.
(pp. pp. 663-664).
Wiley
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Abstract
This contribution puts forward some recent advances in the rigorous (asymptotic) theory of gravity‐ (and capillarity‐)driven shallow flow of a viscous liquid past a horizontal plate, originating in jet impingement oblique to it. Hence, our concern is twofold: with steady developed flow over the distance from the jet centre to the trailing edge of the plate, referred to as a pronounced hydraulic jump blurred by viscous diffusion; with the predominantly inviscid transcritical limit arising near the edge due to scale reduction given an intrinsic expansive singularity taking place there. In the latter situation envisaged briefly, condensing nonlinear inertial effects, weak time dependence, and (very) weak streamline curvature as the essential ingredients into a distinguished limit demonstrates the generation of a weak (transcritical) hydraulic jump by a plate‐mounted obstacle.
| Type: | Proceedings paper |
|---|---|
| Title: | On transcritical states in viscous flow passing the edge of a horizontal plate |
| Event: | 88th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) |
| Location: | Weimar (Germany) |
| Dates: | 06 March 2017 - 10 March 2017 |
| DOI: | 10.1002/pamm.201710300 |
| Publisher version: | https://doi.org/10.1002/pamm.201710300 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10024603 |
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