eprintid: 101256 rev_number: 49 eprint_status: archive userid: 608 dir: disk0/00/10/12/56 datestamp: 2010-10-19 21:49:44 lastmod: 2021-09-19 22:25:41 status_changed: 2012-11-02 15:58:50 type: article metadata_visibility: show item_issues_count: 0 creators_name: Page, MA creators_name: Johnson, ER title: Steady nonlinear diffusion-driven flow ispublished: pub divisions: UCL divisions: B04 divisions: C06 divisions: F59 keywords: BOUNDARY, FLUID note: © 2009 Cambridge University Press 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. date: 2009-06 publisher: CAMBRIDGE UNIV PRESS official_url: http://dx.doi.org/10.1017/S002211200900679X vfaculties: VMPS oa_status: green language: eng primo: open primo_central: open_green article_type_text: Article verified: verified_manual elements_source: Web of Science elements_id: 119458 doi: 10.1017/S002211200900679X language_elements: EN lyricists_name: Johnson, Edward lyricists_id: ERJOH80 full_text_status: public publication: J FLUID MECH volume: 629 pagerange: 299 - 309 issn: 0022-1120 citation: Page, MA; Johnson, ER; (2009) Steady nonlinear diffusion-driven flow. J FLUID MECH , 629 299 - 309. 10.1017/S002211200900679X <https://doi.org/10.1017/S002211200900679X>. Green open access document_url: https://discovery.ucl.ac.uk/id/eprint/101256/1/download.14pdf.pdf