科研之友
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摘要
A rigorous upper bound on the Nusselt number is derived for infinite Prandtl number Rayleigh-Benard convection for a fluid constrained between no-slip, mixed thermal vertical boundaries. The result suggests that the thermal boundary condition does not affect the qualitative nature of the heat transport. The bound is obtained with the use of a nonlinear, stably stratified background temperature profile in the bulk, notwithstanding the lack of boundary control of the temperature due to the Robin boundary conditions.
- 出版日期2014-9
