Page, MA;
Johnson, ER;
(2009)
Steady nonlinear diffusion-driven flow.
J FLUID MECH
, 629
299 - 309.
10.1017/S002211200900679X.
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Abstract
An imposed normal temperature gradient on a sloping surface in a viscous stratified fluid can generate a slow steady flow along a thin 'buoyancy layer' against that surface, and in a contained fluid the associated mass flux leads to a broader-scale,outer flow'. Previous analysis for small values of the Wunsch-Phillips parameter R is extended to the nonlinear case in a contained fluid, when the imposed temperature gradient is comparable with the background temperature gradient. As for the linear case, a compatibility condition relates the buoyancy-layer mass flux along each sloping boundary to the outer-flow temperature gradient. This condition allows the leading-order flow to be determined throughout the container for a variety of configurations.
| Type: | Article |
|---|---|
| Title: | Steady nonlinear diffusion-driven flow |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1017/S002211200900679X |
| Publisher version: | http://dx.doi.org/10.1017/S002211200900679X |
| Language: | English |
| Additional information: | © 2009 Cambridge University Press |
| Keywords: | BOUNDARY, FLUID |
| UCL classification: | UCL 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/101256 |
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