@article{discovery101256, journal = {J FLUID MECH}, note = {{\copyright} 2009 Cambridge University Press}, volume = {629}, publisher = {CAMBRIDGE UNIV PRESS}, title = {Steady nonlinear diffusion-driven flow}, pages = {299 -- 309}, year = {2009}, month = {June}, 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.}, author = {Page, MA and Johnson, ER}, url = {http://dx.doi.org/10.1017/S002211200900679X}, keywords = {BOUNDARY, FLUID}, issn = {0022-1120} }