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@article{Fantuzzi:2020:10.1017/jfm.2019.1029,
author = {Fantuzzi, G and Nobili, C and Wynn, A},
doi = {10.1017/jfm.2019.1029},
journal = {Journal of Fluid Mechanics},
pages = {R4--1--R4--12},
title = {New bounds on the vertical heat transport for Bénard-Marangoni convection at infinite Prandtl number},
url = {http://dx.doi.org/10.1017/jfm.2019.1029},
volume = {885},
year = {2020}
}

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TY  - JOUR
AB  - We prove a new rigorous upper bound on the vertical heat transport for Bénard–Marangoni  convection of a two- or three-dimensional fluid layer with infinite Prandtl number. Precisely, for Marangoni number 1 the Nusselt number  is bounded asymptotically by const.×2/7(ln)−1/7 . Key to our proof are a background temperature field with a hyperbolic profile near the fluid’s surface and new estimates for the coupling between temperature and vertical velocity.
AU  - Fantuzzi,G
AU  - Nobili,C
AU  - Wynn,A
DO  - 10.1017/jfm.2019.1029
EP  - 1
PY  - 2020///
SN  - 0022-1120
SP  - 4
TI  - New bounds on the vertical heat transport for Bénard-Marangoni convection at infinite Prandtl number
T2  - Journal of Fluid Mechanics
UR  - http://dx.doi.org/10.1017/jfm.2019.1029
UR  - https://www.cambridge.org/core/journals/journal-of-fluid-mechanics/article/new-bounds-on-the-vertical-heat-transport-for-benardmarangoni-convection-at-infinite-prandtl-number/720181DEB08130C7D1D343CC190DB51C
UR  - http://hdl.handle.net/10044/1/75357
VL  - 885
ER  -

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